please help me ill give 10 points

Please Help Me Ill Give 10 Points

Answers

Answer 1

Answer:

y=160

Step-by-step explanation:

y=90+14(x)

x=5

y=90+14(5)

y=90+70

y=160

Hope this helps!

If not, I am sorry.


Related Questions

What expression below is equivalent to -71n -
29?
A) -29 - 71n
B) 71n + (-29)
C) 29 + 71n
D) -29 - (-71n)

Answers

Answer:

A

Step-by-step explanation:

both numbers are negative, you can rearrange them in any order provided you keep the sign

Answer: Choice A) -29 - 71n

Reason:

An expression in the form -a-b is the same as -a + (-b)

Recall we can add two numbers in any order we want. For instance, 2+3 = 3+2 since both sides are equal to 5. This is the commutative property of addition.

Therefore, the -a + (-b) is the same as -b + (-a) which in turn becomes -b - a

In short:  -a - b = -b - a

This rule lets us say that -71n - 29 = -29 - 71n

The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).

Which statement about the function is true?

The function is positive for all real values of x where
x < –1.
The function is negative for all real values of x where
x < –3 and where x > 1.
The function is positive for all real values of x where
x > 0.
The function is negative for all real values of x where
x < –3 or x > –1.

Answers

Answer:

The second statement is true.

Step-by-step explanation:

Draw the corresponding parabola and use it to verify  all statements.

Answer:

The function is negative for all real values of x where

x < –3 and where x > 1.

Step-by-step explanation:

The answer above is correct.

\In a mouse population, some mice have thicker fur than others, but there are more mice with thinner fur. The climate in which these mice live has slowly gotten colder.

How will this change in the environment most likely affect the mouse population?

The adaptation of thinner fur will be selected over thicker fur, and the population will remain unchanged.
The adaptation of thicker fur will be selected over thinner fur, and the population will remain unchanged.
The adaptation of thinner fur will be selected over thicker fur, and the population will evolve.
The adaptation of thicker fur will be selected over thinner fur, and the population will evolve.

Answers

The adjustment of thicker fur will be selected over thinner fur, and the population will develop. Then the correct option is D.

What is decision-making?

Determining the proper option, acquiring evidence, and exploring various options are all steps in the decision-making process.

In a mouse population, some mice have thicker fur than others, but there are more mice with thinner fur.

The climate in which these mice live has slowly gotten colder.

The change in the environment most likely affect the mouse population will be

The adjustment of thicker fur will be selected over thinner fur, and the population will develop.

Then the correct option is D.

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HELP MOI
MATH WORK=IMPOSSIBLE
PLEASE

Answers

Answer:

-32/21

Step-by-step explanation:

First, we can convert -0.35 into a fraction: -35/100, which could be further simplified to -7/20.
Dividing a fraction by another is the same thing as multiplying a fraction by the reciprocal (denominator over numerator) of the fraction. Therefore, we can rewrite this expression as: 8/15 * -20/7
To find the answer to that, you simply multiply the numerators together and the denominators together separately. The final answer is -32/21.

Answer:

-1 11/21

First step:

First, you change the decimal into a fraction. To do that you look at the decimal place at the end of -0.35. The decimal place is hundredths. That means the fraction form of -0.35 is -35/100.

Now to simplify it just find out what both the numbers can be divided by. In this case, 35 and 100 can be divided by 5. If you divide them both by 5 you get -7/20

Fraction form: -7/20

Second step:

Now you just plug it in to the equation.

8/15÷(-7/20)

To solve this you need to change it to multiplication and flip the second fraction.

8/15×(-20/7)

Final step:

Now you multiply the fractions.

8/15×(-20/7)= -32/21 or -1 11/21

Final answer: -1 11/21

A car travels a distance of 210 m in a time of 6 seconds. Calculate the time in seconds for the car to travel a distance of 1928 m.

Answers

First divide 210 by 6 to get how much distance they cover in a second and divide it to 1928

Answer:

It will take 55.08 seconds.

Step-by-step explanation:

6 seconds = 210m

1 second = (210÷6)

= 35m

1928m ÷ 35m

=55.08 seconds

Answer = it will take 55.08 seconds to travel 1928m

Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ($505)((1+0.004) - 1) ? (0.004)(1+0.004) Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ( $ 505 ) ( ( 1 + 0.004 ) - 1 ) ? ( 0.004 ) ( 1 + 0.004 )​

Answers

The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.

The group of values that will return the same value as the given expression is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

What is Present Value?

Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}[/tex]

M = [tex]\frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

0.003 = I/12

I = 0.003 X 12 = 3.6%

N = n X t = 24

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression

P = [tex]\frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}[/tex]

when plugged into the TVM solver of a calculator is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

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The top of a tree makes angles s and t with points K and L on the ground, respectively, such that the angles are complementary. Point K is x meters and point L is y meters from the base of the tree.

1. In terms of x and y, find the height of the tree. Include your calculations.
2. If m∠t = 40° and y = 8 meters, calculate the height of the tree, rounded to two decimal places.

Answers

1. In terms of x and y, the height of the tree is [tex]h = y \times tan \ t^\circ[/tex] and[tex]h = x \times tan \ s^\circ[/tex]

2. The height of the tree is 6.71 meters

Trigonometry

From the question, we are to determine the height of the tree in terms of x and y

Using SOH CAH TOA, we can write that

[tex]tan \ t^\circ =\frac{h}{y}[/tex]

∴ [tex]h = y \times tan \ t^\circ[/tex]

Also,

[tex]tan \ s^\circ =\frac{h}{x}[/tex]

∴ [tex]h = x \times tan \ s^\circ[/tex]

2. If m∠t = 40° and y = 8 meters,

Then, the height of the tree

h = 8 × tan40°

h = 6.71 meters

Hence, the height of the tree is 6.71 meters

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2. The smallest number from the given numbers 6895, 4875 and 5689 will have its smallest digits at place. (A) ​

Answers

The smallest digit of the smallest number is at the thousands place.

What is Number System ?

The system of representing numbers is called Number System.

The given numbers are 6895 , 4875 , 5689

The smallest number among these is 4875

The smallest digit in this number is 4

4 is at thousands place

Therefore , The smallest digit of the smallest number is at the thousands place.

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What is the inverse of the function g(x)=-3(x + 6)?
Please help me ASAP

Answers

Answer:

Inverse g(x) = -x/3-6

Step-by-step explanation:

To understand this just think g(x) as y so

we got y= -3(x+6) after that we change the minus three to left

so we got -y/3 because -3 is multiply. After that plus 6 came and become minus 6.

After all,you have to replace x in y place.

y = -3(x +6)

-y/3 = x +6

-y/3 -6 = x

-x/3 -6 = g(x)

perpendicular to the line y =6 - 3x; passes through (-3, -1)

Answers

Answer:

[tex]y=\frac{1}{3}x[/tex]

Step-by-step explanation:

Perpendicular lines

Perpendicular lines have slopes whose product is -1.  In other words, to find a line that is perpendicular to a given line, the new line must have a that is the opposite reciprocal of the original line.

Passing through a point
Additionally, if a line contains a point, then the point must be a solution to the equation (meaning, when you plug in the "x" and "y", the equation must be true).

Finding our perpendicular line

Work on slope first

To find the slope of the original line, rewrite the original line in slope-intercept form: [tex]y=mx+b[/tex]

[tex]y=6-3x\\y=6+(-3x)\\y=(-3x)+6\\y=-3x+6\\y=-\frac{3}{1}x+6[/tex]

In this form, the slope is the number multiplied to the "x", so the original slope is -3/1.

Thus, the slope of the new perpendicular line will be the opposite reciprocal of -3/1 ... which is 1/3.

Writing what we do know about the new perpendicular line, we have [tex]y=\frac{1}{3}x+b[/tex]

Making sure it passes through the point
This new line is also supposed to contain the point (-3,-1), so (-3,-1) must be a solution to the equation, for whatever constant-value the "b" is.  To find out the "b", substitute the known quantities, and solve:

[tex]-1=\frac{1}{3} (-3)+b\\-1=-1+b\\(-1)+1=(-1+b)+1\\0=b[/tex]

Substituting this into our equation:

[tex]y=\frac{1}{3}x+(0)\\y=\frac{1}{3}x[/tex]

Conclusion

So, the equation for a line that is perpendicular to the original line [tex]y=6-3x[/tex], and that also passes through (-3,-1) is [tex]y=\frac{1}{3}x[/tex]

Mr wong predicted that he would sell 45 automobiles , he actually sold 48

Answers

Answer:

well done mr wong lol

Step-by-step explanation:

what's the question is it the percent he beat his prediction?

if it is then its 48 divided by 45 times 100

this equals 106.67%

then take this away from his prediction percent originally which is 100%

106.67-100= 6.67%

Could someone explain why the value of x is (-2).​

Answers

Answer:

x = -2

Step-by-step explanation:

2x^3 +16 = 0

We are solving for x

Subtract 16 from each side

2x^3 +16- 16 = 0-16

2x^3 = -16

Divide each side by 2

(2x^3 ) /2 = -16/2

x^3 = -8

Take the cube root of each side

[tex]\sqrt[3]{x^3} = \sqrt[3]{-8}[/tex]

x = -2

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

Given equation:

[tex]2x^3+16=0[/tex]

To solve for the unknown variable x, apply arithmetic operations to isolate the variable.

Subtract 16 from both sides:

[tex]\implies 2x^3+16-16=0-16[/tex]

[tex]\implies 2x^3=-16[/tex]

Divide both sides by 2:

[tex]\implies \dfrac{2x^3}{2}=\dfrac{-16}{2}[/tex]

[tex]\implies x^3=-8[/tex]

Take the cube root of both sides:

[tex]\implies \sqrt[3]{x^3}=\sqrt[3]{-8}[/tex]

[tex]\implies x=-2[/tex]

When taking the cube root of a negative number, the result will be negative.  To understand why, examine what happens when we cube a negative number.

When a number is cubed, it is multiplied by itself, then by itself again.

When multiplying a negative number by another negative number, the result is always positive.

When multiplying a positive number by a negative number, the result is always negative.

Therefore:

[tex]\begin{aligned}\implies (-2)^3 &= -2 \cdot -2 \cdot -2\\ & = 4 \cdot -2\\& = -8\end{aligned}[/tex]

So if -8 is cube rooted, the result is -2.

Maël mixes 15 milliliters (mL) of bleach with 3.75 liters (L) of water to make a sanitizing solution for a daycare. The amounts of bleach and water always have to be proportional when he makes sanitizing solution. Which of the following could be combinations of volumes of bleach and water for Maël's sanitizing solution?

A. 12 mL bleach and 3 L water
B. 6 mL bleach and 1.5 L water
C. 3 mL bleach and 0.75 L water
D. 20 mL bleach and 5.5 L water
E. 11 mL bleach and 3.75 L water​

Answers

The answer is B 6ml bleach and 1.5 water

Answer: A,B,C

Step-by-step explanation: A,B,C is the answer

Gerald purchased a rectangular plot of land. the length of the plot is 20 feet more than the width. the cost of the land was $12 per square foot. gerald also had a fence put around the entire perimeter of the plot, at a cost of s8 per linear foot. the total amount he spent on both the land and the fence was $10,560. part a write an equation in two variables for the perimeter, p, and an equation in two variables for the area, a, of the plot of land where x is the width of the plot in feet. provide evidence to support your equations

Answers

Answer:

P =2(x+ y) [tex]ft[/tex].

A =xy [tex]ft^{2}[/tex]

Step-by-step explanation:

perimeter of rectangle (P)= 2(L+B

Area of rectangle (A)        =    L×B

Given,

width = 'x'

length = y = x+20

therefore using above formula

P = 2(x+20 + x) = 2(2x+20)

A = (x+20)(x)

cost of land per square foot = $12

cost of land per linear foot   = $8

total cost of land                   = $10560

now,

P×8 + A×12   = 10560

2(2x+20)×8 +  (x+20)(x)×12 = 10560

32x + 320 + 12x²+ 240x     = 10560

12x² + 272x                         = 10240

12x² + 272x - 10240           = 0

solving this quadratic equation using Discriminant method

x = [-b ±√(b² - 4ac)]/2

where b is the coefficient of x

a is the coefficient of x²

and c is the constant term

by replacing values in the above formula

x = 19.5  , x = -42.24

as the area cannot be negative therefore -42.24 is neglected

hence x = 19.5ft

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BRAINLY IF CORRECT!!!
Does anyone know what the s inside the angle mean. The symbol?

Answers

Approximately equal to something (I think)

Answer: I'm 90% sure that the S inside the angle is spatial points

The full Definition of the symbol combination is approximately equal to Spatial points?

Step-by-step explanation:

I searched s inside angle symbol and these are my results. "The angle symbol is a mathematical symbol that is placed ahead of character s, usually uppercase italic letters representing spatial points, to describe a geometric angle formed by the intersection of two lines, line segments, or rays."   I'm sorry if I'm wrong.

The steps to simplify the expression -100 ÷ 3 x (-0.6) are shown.

Answers

Answer:

That is the answer for you step 2

simplify (3+√5)(3+√2)

Answers

When we simplify (3 + √5)(3 + √2), the result obtained is:

9 + 3√2 + 3√5 + √10

Surd operation

a√b × c√d = (a × c)√(b × d)

How to simplify (3 + √5)(3 + √2)

(3 + √5)(3 + √2)

Expand by clearing the bracket

3(3 + √2) + √5(3 + √2)

9 + 3√2 + 3√5 + √10

Thus,

(3 + √5)(3 + √2) = 9 + 3√2 + 3√5 + √10

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Can yall help me Find m/1.

Answers

Answer:

mAngle1 = 33°

Step-by-step explanation:

The three angles in a triangle add up to 180°.

31° + 116° + x = 180°

147° + x = 180°

Subtract 147° from both sides.

x = 33°

The measure of Angle1 is 33°

Is in between 2 number on the number line

Answers

Answer:

3 and 4

Step-by-step explanation:

well you can approximate by squaring values

2^2 = 4

3^2 = 9

4^2 = 16

the value should fall somewhere between 3 and 4 since the square root of 9 is 3 and the square root of 16 is 4

Genesis is going to see a movie and is taking her 3 kids. Each movie ticket costs $15 and there are an assortment of snacks available to purchase for $3 each. How much total money would Genesis have to pay for her family if she were to buy 6 snacks for everybody to share? How much would Genesis have to pay if she bought x snacks for everybody to share?

Total cost with 6 snacks:
Total cost with x snacks:.
need answer quickly as possibly!

Answers

Answer #1:

The total cost with 6 snacks is $78.

Answer #2:

The total cost with x snacks is represented by the expression 60 + 3x.

Step-by-step explanation for answer #1:

Starting off with what we know:

Genesis has 3 kids, so there are 4 people total including Genesis.Each movie ticket is $15.Each snack is $3.

To answer the question of how much money Genesis would have to pay for her family if she bought 6 snacks for everybody, first consider the total cost of the movie tickets.

Multiply the total number of people by the cost of each movie ticket:

[tex]4* 15=60[/tex]

Genesis will be paying $60 total only to see the movie with her 3 kids. To find the total cost of both seeing the movie and buying 6 snacks, simply multiply the number of snacks by the cost of each snack:

[tex]6 * 3=18[/tex]

Then, add the total cost of the movie tickets by the total cost of the snacks to achieve your first answer:

[tex]60+18=78[/tex]

The total cost with 6 snacks is $78.

Step-by-step explanation for answer #2:

To find the total cost of "x" snacks (x is being used as a variable term to represent a quantity subject to change), we can create an algebraic expression.

Let "t" represent the total cost.

Since we've established that finding the total cost is just a matter of adding the total cost of movie tickets (60) and the total cost of snacks (3 multiplied by the number of snacks), let "x" represent the number of snacks in the equation to find the total cost with x snacks:

[tex]60+3x=t[/tex]

The total cost with x snacks is represented by the expression 60 + 3x.

Based on the given data, the total cost of 6 snacks: $78. total cost with x snacks: $60 + (3x).

Use the concept of multiplication defined as:

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that,

Genesis is going to see a movie with her 3 kids.

Each movie ticket costs $15.

There are snacks available for purchase at $3 each.

Genesis wants to buy 6 snacks for everybody to share.

To calculate the total cost for Genesis and her 3 kids,

Consider the movie tickets and the snacks.

The cost of the movie tickets can be calculated by multiplying the number of people (4 in this case) by the cost of each ticket ($15).

So, Genesis would have to pay 4 x $15 = $60 for the movie tickets.

Now, let's calculate the total cost if Genesis were to buy 6 snacks for everybody to share.

Each snack costs $3, so 6 snacks would cost 6 x $3 = $18.

Therefore, the total cost for Genesis would be,

$60 (movie tickets) + $18 (snacks) = $78.

If we consider x snacks for everybody to share,

The total cost for snacks would be x $3.

So, the final cost would be $60 (movie tickets) + (3x) (snacks).

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Find (f • g) (x) Assume x>0

Answers

Answer:

[tex]\textsf{B.} \quad (f \cdot g)(x)=10x[/tex]

Step-by-step explanation:

Given:

[tex]\begin{cases}f(x)=\sqrt{50x}\\g(x)=\sqrt{2x}\end{cases}[/tex]

[tex]\begin{aligned}\textsf{As }(f \cdot g)(x) & = f(x) \cdot g(x)\\\implies (f \cdot g)(x)& = \sqrt{50x} \cdot \sqrt{2x}\end{aligned}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}:[/tex]

[tex]\begin{aligned}\implies (f \cdot g)(x) &= \sqrt{50x2x}\\& = \sqrt{100x^2}\end{aligned}[/tex]

Rewrite 100 as 10²:

[tex]\implies (f \cdot g)(x)=\sqrt{10^2x^2}[/tex]

[tex]\textsf{Apply exponent rule} \quad a^bc^b=(ac)^b:[/tex]

[tex]\implies (f \cdot g)(x)= \sqrt{(10x)^2}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies (f \cdot g)(x)=10x[/tex]

When you eat certain foods, sugar is immediately released into your bloodstream. many doctors say kids should only take in 6 teaspoons (24 grams) of added sugar each day. jack is making lemonade for his school and wants to follow that recommendation. he wants to make 206 servings, following the recommendation, how many grams of sugar will he use?

Answers

Answer:

4,944

Step-by-step explanation:

2. The letters from the word MATH are placed in a hat. What is the probability that you select an A when you are choosing a letter without looking? A. What is asked in the problem? 8. What are the given numbers? What operation will you use? D What is the mathematical sentence? E What is the answer to the problem? V. A​

Answers

The probability of getting M from the word MATH placed in hat is 0.25.

Probability is defined as the ratio of the number of favorable results to the total number of elements of an event.

P=  number of favorable outcomes / total number of outcomes of an event

A. The problem is the probability of finding A

B. The given are MATH i.e. {M,A,T,H}

C. the operation used will be selecting a word from hat of word MATH

D. the mathematical statement from the probability of finding  M will be

    P(getting M from word MATH)

E. the answer to the problem will be calculated as

    no. of element in the hat=4 i.e. {M,A,T,H}

    no. of favorable outcomes= 1 i.e. {A}

     P(getting A from word MATH) = number of favorable outcomes/ number of total outcomes

⇒  P(getting A from word MATH) = 1/4

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In the triangle above, what is the measure of A.
M B.
M C.
M D
, cannot be determined

Answers

B. 45. The two angles B and A are both 45 to make 90 and angle C is a 90 degree angle so they come together for 180 degrees total

A. Yes, the points shown on the line would be part of y=0.5x
B. Yes, all proportions can be shown on a graph of this line
C. No, the points shown would not be part of y=0.5x
D. No, the proportions cannot be represented on a graph

Answers

Answer:

B

Step-by-step explanation:

given the graph of y = 0.5x

Then any point on the line satisfies y = 0.5x

consider the points given

x = 1 then y = 0.5 × 1 = 0.5 ⇒ (1, 0.5 ) is on the line

x = 4 then y = 0.5 × 4 = 2 ⇒ (4, 2 ) is on the line

Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)^2 = 19

Answers

Answer:

To solve the answer, you can do it in 2 ways:

1) you could take the square root on both sides and solve for x

OR

2)you could multiply 3x-5 times itself and subtract 19 on both sides and use the grouping or quadratic formula method to find x.

Hope it helps.

Take the square root of each side of the equation to set up the solution for

Remove the perfect root factor

under the radical to solve

The complete solution is the result of both the positive and negative portions of the solution.

The result can be shown in multiple forms.

what is
f(-1)=-3x^{2}+7x+4

Answers

Step-by-step explanation:

please mark me as brainlest

f(-1) = -3(-1)^2 + 7(-1) + 4 = -3 + -7 + 4 = -6

Use the drawing tool(s) to form the correct answer on the provided number line.
Consider the given functions.
Function 1
f(x) = -5x + 11 + 10
Function 2
g(x)
-2
Represent the interval where both functions are decreasing on the number line provided.
30
20
10-
-10-
-20-
-30-
2
6
x

Answers

This means that the function is dropping throughout this range[tex](-1,\infty).[/tex]Using the point where the intervals with decreasing functions overlap, the number line will represent

[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]

What is the function's decreasing in the interval?

Generally, the equation for the function is mathematically given as

f(x) = -5x + 11 + 10

Therefore

When x >= -1, the function decreases because f(x) = -5(x+1)+10.

This means that the function is dropping throughout this range[tex](-1,\infty).[/tex]

b)

A look at the graph reveals a decreasing trend in the function over the timeframe (-2,2).

In conclusion, The number line will represent

Using the point where the intervals with decreasing functions overlap

[tex](-1,\infty)\cap (-2,2) ---- > (-1,2)[/tex]

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Answer:

see photos

Step-by-step explanation:

Plato/Edmentum

answer?......................

Answers

Answer:

22

Step-by-step explanation:

6( n^2 +2)

-----------------

n

Let n = 3

6( 3^2 +2)

-----------------

3

Parentheses first

6( 9 +2)

-----------------

3

6( 11)

-----------------

3

Top of the fraction next

66

-----

3

Divide

22

You can walk over the mountains to
your campsite or take a safer, easier trip around the mountains. You
are on the ground at P(0, 0) and the campsite is at C(-2, 7). You
travel around the mountain by going to A(2, 5). The coordinate
system is measured in meters. Draw a diagram of the situation.
Find PA and AC.

Answers

Answer:

PA = [tex]\sqrt{29}[/tex]

AC =[tex]\sqrt[2]{5}[/tex]

Step-by-step explanation:

distance formula : if [tex](x_{1},y_{1}) and (x_{2},y_{2})[/tex] are two points on a line segment then distance between both the points is given by distance formula.

[tex]d = \sqrt{[(x_{2} - x_{1} )^2 +(y_{2} - y_{1})^2]}[/tex]

therefore ,

given points are , A(2, 5),  P(0, 0), C(-2, 7).

so PA = [tex]\sqrt{[({2} - {0} )^2 +({5} - {0})^2]} = \sqrt{({2} )^2 +({5} )^2}[/tex]

    PA = [tex]\sqrt{\229}[/tex]

similarly,

AC = [tex]\sqrt{[({-2} - {2} )^2 +({7} - {5})^2]} = \sqrt{({4} )^2 +({2} )^2}[/tex]

AC = [tex]\sqrt{20} = \sqrt[2]{5}[/tex]

more questions on lines and distance formula at

https://brainly.com/question/25841655

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