Find the point, M, that divides segment AB into a ratio of 3:2 if A is at (0, 15) and B is at (20, 0). A) (9, 6) B) (12, 6) C) (12, 9) D) (9, 12)

Answers

Answer 1

Step-by-step explanation:

0.16

Answer 2

The coordinates for point M is (12, 6)

what is section formula?

Section formula is used to find the coordinates of a point that splits a line segment internally or externally into a ratio of m:n.

(x, y) = ( mx2 + nx1/ m+n, my2 + ny1/ m+n)

Given:

Coordinates of A(0, 15) and B (20, 0)

ratio is 3:2

Now,

x1=0, x2= 20, y1= 15, y2=0

let the coordinates of M is (c, d)

Using section formula

c=2*0+3*20/5

c=12

and d= 15*2+ 2*0/5

d= 6

Hence, the coordinates of M are (12, 6).

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Related Questions

Find the area of the largest circle that can be inscribed inside a square whose diagonal is 5" ( with explanation )

Answers

Answer:

19.625

Step-by-step explanation:

If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5

2.5^2*3.14

=19.625

11. Rocco and Biff are two koalas sitting at the
top of two eucalyptus trees, which are
located 10 m apart, as shown. Rocco's tree
is exactly half as tall as Biff's tree. From
Rocco's point of view, the angle separating
Biff and the base of his tree is 70°. How high off the ground is each koala?

Answers

Answer:

Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.

Step-by-step explanation:

Let the height of Biff's tree be represented by x, so that the height of Rocco's tree is [tex]\frac{x}{2}[/tex].

Draw a straight line from Rocco's point of view to a point t to the middle of Biff's tree. This line divides x into two equal parts, and the angle is divided into [tex]35^{0}[/tex] each.

By alternate angle property,

Tan  [tex]35^{0}[/tex] = [tex]\frac{\frac{x}{2} }{10}[/tex]

[tex]\frac{x}{2}[/tex] = Tan  [tex]35^{0}[/tex] × 10

  = 7.00021

⇒       x = 2 × 7.0021

            = 14. 0042

         x = 14

Therefore, Biff's tree is 14 m off the ground and Rocco's tree is 7 m off the ground.

Answer:

Biff height = 9.48m

Rocco's height= 4.74m

Step-by-step explanation:

As Rocco's tree is half as tall as Biff's tree, draw a horizontal line from Rocco on Rocco's tree which intersects the Biff's tree at he middle.

The angle 70 degrees is divided by 2 because of the horizontal line.

An upper right angle triangle is form by Rocco (point A), Midpoint of Biff's tree(point B), and Biff (point C).

As

[tex]tan\theta = \frac{perpendicular}{base\\}[/tex]

where θ=35 and  base= 10m

[tex]tan35=\frac{perpendical}{10}[/tex]

[tex](tan35)(10)=perpendicular\\perpendicular=4.74[/tex]

As the perpendicular found is that of a triangle formed from midpoint of Biff's, to find the total height, multiply the found perpendicular with 2.

Biff height = 4.74*2 = 9.48m

Rocco's height is half of biff height

Rocco's height= 9.48/2 = 4.74m

Need Answer Fast). The solution to a problem is an irrational number. which statement is true about the solution? ​Will Mark Brainliest.

Answers

Step-by-step explanation:

There is no option to choose from, but the knowledge of what irrational numbers are, would help cover this cost.

A rational number is a number that can be written as a simple fraction, a/b. Examples are 1/2, 5/6,...

If a number cannot be written as a simple fraction, then it is called irrational.

Example of irrational numbers: √2, π

Answer:

Here are the statements!!!

Of 60 corn seeds that were planted, 18 of them did not sprout. What percent of the corn seeds
did not sprout? Show how you arrived at your answer.Of 60 corn seeds that were planted, 18 of them did not sprout. What percent of the corn seeds
did not sprout? Show how you arrived at your answer.

Answers

Answer:

30%

Step-by-step explanation:

18 / 60 = .3 * 100 = 30%

Answer:

The percent of the the corn seeds is 30%.

Step-by-step explanation:

Because when you calculate 60% and 18% will get a percent 30%.

Solution for 18 is what percent of 60:

18:60*100 =

( 18*100):60 =

1800:60 = 30

Now we have: 18 is what percent of 60 = 30

Question: 18 is what percent of 60?

Percentage solution with steps:

Step 1: We make the assumption that 60 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=60$.

Step 4: In the same vein, $x\%=18$.

Step 5: This gives us a pair of simple equations:

$100\%=60(1)$.

$x\%=18(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{60}{18}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{18}{60}$

$\Rightarrow x=30\%$

Therefore, $18$ is $30\%$ of $60$.

Hope this helps :D and can i get brainlest plz

Last Option Is 4/5. Please Help ASAP

Answers

Answer:

C: 3/5

Step-by-step explanation:

sin = opposite/hypotenuse

It's a 3-4-5 triangle... so then sin = 3/5

Rate and tell me if I'm right!! :)

Which describes the transformation? Select three options.
Triangle ABC was translated to form A'B'C'.
A'
It is rigid.
:::
It is nonrigid.
А
x
It is isometric.
B
The size is preserved.
C
The angles are not preserved.
В
Save and Exit
Next
Submit
Mark this and retum

Answers

Answer:

It is rigid

It is isometric

The size is preserved

Step-by-step explanation:

Given that Triangle ABC was translated to form A'B'C', then both triangles are congruent triangles.

A translation only moves the figure, preserving the size.

Because the size is preserved, it is a rigid transformation or isometric transformation.

Answer:

acd

Step-by-step explanation:

Decimal expansion of 5/8

Answers

Answer:

0.625

Step-by-step explanation:

5/8 is the same as dividing so divide them both and it will equal 0.625

Answer:

0.625

Step-by-step explanation:

1/8 = 0.125

0.125 times 55 = 0.625

Find the volume of the rectangular prism.

length = 5 1/4 inches

width = 4 1/2 inches

height = 3 inches

Answers

Answer:

70.825 square inches

Step-by-step explanation:

Answer:

[tex]= 70 \frac{7}{8} {in}^{3} \\ [/tex]

Step-by-step explanation:

[tex]v = whl \\ = 4\frac{1}{2} \times 3 \times 5 \frac{1}{4} \\ = \frac{9}{2} \times 3 \times \frac{21}{4} \\ = \frac{567}{8} \\ = 70 \frac{7}{8} {in}^{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

There are xboys playing in the park. The number of girls playing in the park is equal to the square root of the number of boys. If the total
number of boys and girls playing in the park is 42, find the number of boys.
A. 49
B.6
C. 36
D. 7

Answers

Answer:

x = 36 and √x = 6; total 42 children

Step-by-step explanation:

Number of boys:  x

Number of girls:  √x

Total number of kids:  x + √x = 42.

Find x.

Rewrite x + √x = 42 as √x = 42 - x.  Then square both sides:

x = 1764 - 84x + x^2, or

x^2 - 85x + 1764 = 0

Check out Answer C:  x = 36.  Is the above equation true for x = 36?  YES

Check out Answer A:  x = 49.  Is the above equation true for x = 49?  YES

Assume that x = 36.  This would be the number of boys.  The number of girls would be √36, or 6.  Does the sum of 36 and 6 equal 42?  YES.  So the number of boys is 36 and the number of girls is 6.

Assume that x = 49.  This would be the number of boys.  The number of girls would be √49, or 8.  Does the sum of 49 and 7 equal 42?  NO.  So we reject x = 49 as the number of boys and accept x = 36 as being correct.

The person is 64 in. tall and casts a 48 in. Shadow. The tree casts 81 in. Shadow. How tall is the tree?

Answers

Answer:

65 in. shadow.

Step-by-step explanation:

if someone is 64 in. and they cast a 48 in. shadow than their shadow is 16 in. smaller than they are. 81 in. - 16 in. = 65 in.

97 in. is the height of the tree

Find the value of x.
with work plz​

Answers

Answer: x = 117 degrees.

Step-by-step explanation:  The sum of the interior angles of a pentagon should equal 540 degrees. The value of x has to make the total of the angles equal to 540.  140 + 138 + 59 +86 is 423.  Now we need to subtract 423 from 540 to know the value of x since it has to all add up to 540. 540-423 is 117.

Answer:

117°

Step-by-step explanation:

sum of angles of a polygon=(n-2)*180

where n is the number of sides.

it has 5 sides.

x+86+140+138+59=(5-2)*180

x+423=3*180

x=540-423

x=117°

Travis is temporarily not working while his office is being remodeled. He
expects to be back at work in 2 months, but won't be able to afford his
mortgage payment until then. Which of the following is the best option for
him?
A. Forbearance agreement
B. Foreclosure
C. Moving to another state
D. Bankruptcy

Answers

I believe the answer is B.
Because he can not afford to to pay them at the moment but he will be able to pay them when they are done and he gets to go back to work

Answer:

Correct answer is Forbearence agreement

Step-by-step explanation:

he was incorrect

SOMEONE PLEASE HELP ME ASAP PLEASE!!!​

Answers

Answer:

26

Step-by-step explanation:

lol

Answer:

AC = 26

Step-by-step explanation:

AB + BC = AC

18+ 8 = AC

26

Desiree wants to place a wire fence around the base of an apple tree... The tree has and mulch area around it, is shaped like a circle that has a radius of 14 inches... What length of fencing does Desiree need? ROUND TO THE NEAREST TENTH AND INCLUDE UNITS IN YOUR ANSWER

Answers

Answer:

( About ) 88 inches

Step-by-step explanation:

Considering this wire fence to be the circumference of the base of this apple tree, provided it is circular, let us solve for the amount of fencing given the radius of this circle is 14 inches;

[tex]Radius Of Circle - 14 inches,\\Diameter - 14 inches * 2 = 28 inches,\\Circumference - 2\pi r, r = radius,\\\\2\pi r - \pi d, d = diameter,\\\\Circumference Of Circle - \pi * ( 28 inches ) = ( About ) 88 inches\\Length Of Fencing = ( About ) 88 inches[/tex]

Length of Fencing rounded to 10th place, ( About ) 88 inches

Which systems of equations have infinite solutions?

Answers

Answer:

addition

Step-by-step explanation:

Consider function fbelow.
f(t) = 4* - 6
Determine function g which is created by shifting the graph of function fup 5 units.
O A.g(x) = 98 - 6
OB.g(x) = 4(x+5)-6
O C.g(x) = 44.1
OD.g(x) = 4x + 5​

Answers

Answer:

Step-by-step explanation:

For this case we have a function of the form:

f (x) = 4 ^ x-6

We want to move the graph five units up.

Therefore, the new function is given by:

g (x) = f (x) +5

Substituting we have:

g (x) = 4 ^ x-6 + 5

Rewriting the function:

g (x) = 4 ^ x-1

Answer:

The new function is given by:

g (x) = 4 ^ x-1

option C

Click to let other

The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To shift the graph of function f up 5 units, we need to add 5 to the output (y-value) of the function.

Therefore, the function g(x) will be:

g(x) = f(x) + 5

Substituting the expression for f(x), we get:

[tex]g(x) = 4^x - 6 + 5\\g(x) = 4^x - 1[/tex]

Therefore,

The function g which is created by shifting the graph of function f up 5 units is given by [tex]g(x) = 4^x - 1.[/tex]

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if the blue radius below is 4.5 unit lrpendicto the green chord and the segment ab is 4.5 units long, what is the length of the length of the chord?

Answers

Answer:

b) 9 units

Step-by-step explanation:

segment ab is the same length as segment bc

I need help answering these. What does the arrows going both ways mean?

Answers

Answer:

I'm pretty sure it means it is any number

Answer:

It means there is no beginng point or end point.

High school football team had the best game of the season they scored eight touchdowns (seven points each) and three field goals (3 points each). How many points did they score in all

Answers

Answer:

65 points in all

Step-by-step explanation:

3 x 3 = 9

7 x 8 = 56

56 + 9 = 65

:))

Which situations can be represented by the equation 3+15=288? Select all that apply.

Nate buys a phone that costs $288. He is able to put $15 down and then pay the remaining balance in 3 equal payments. What is x, the amount of one payment?
Nate upgrades his phone. He makes 3 equal payments of $288 each and pays an additional $15 in taxes. What is x, the total cost of the phone?
Nate bought his 3 children identical phones and chargers. He spent a total of $288. If each charger was $15, what is x, the cost of one phone?
Nate bought his 3 children identical phones and chargers. He spent a total of $288. If each charger was $5, what is x, the cost of one phone?
Nate bought his 3 children identical phones totaling $288. Nate used a coupon for “$15 off total purchase.” What is x, the discounted price of one phone?

Answers

Answer:

the first and last option.

Step-by-step explanation:

the equation will be equal to 288.

x is the amount of one payment that he makes 3 times, hence the 3x.

15 is his initial payment so that is added to the 3x to equal 288.

the second equation still equals to 288.

the 15 is still there because added to the phone price it is equal to 288.

the x represents the price of the phones and 3 is how many he's getting, hence the 3x.

Answer:

the equation will be equal to 288.

x is the amount of one payment that he makes 3 times, hence the 3x.

15 is his initial payment so that is added to the 3x to equal 288.

the second equation still equals to 288.

the 15 is still there because added to the phone price it is equal to 288.

the x represents the price of the phones and 3 is how many he's getting, hence the 3x.

Step-by-step explanation:

Mark me brainiest please

If y = 3x+b intersects y= mx +3 at (2, 3), find the value of b and m.

Answers

Answer:

The value of b is -3 and m is 0.

Step-by-step explanation:

You have to substitute the coordinates into both equation in order to find m and b value :

Find m,

[tex]y = mx + 3[/tex]

At (2,3),

[tex]3 = m(2) + 3[/tex]

[tex]3 - 3 = 2m[/tex]

[tex]2m = 0[/tex]

[tex]m = 0[/tex]

Find b,

[tex]y = 3x + b[/tex]

At (2,3),

[tex]3 = 3(2) + b[/tex]

[tex]b + 6 = 3[/tex]

[tex]b = 3 - 6[/tex]

[tex]b = - 3[/tex]

Answer:

b = -3

m = 0

Step-by-step explanation:

y=mx+b

3 is the constant

Sarah graphed the solution to the inequality StartAbsoluteValue f + 3 EndAbsoluteValue less-than 9 on the number line.

A number line going from negative 14 to positive 10. Open circles are at negative 12 and positive 6. Everything between the points is shaded.

Which inequality statement can be used to help determine if the graph is correct?
When f = 0, StartAbsoluteValue 0 + 3 EndAbsoluteValue less-than 9, which is true because 3 is less than 9.
When f = negative 12, StartAbsoluteValue negative 12 + 3 EndAbsoluteValue less-than 9, which is true because 9 is equal to 9.
When f = 10, StartAbsoluteValue 10 + 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than 13.
When f = negative 14, StartAbsoluteValue negative 14 + 3 EndAbsoluteValue less-than 9, which is true because 9 is greater than –11.

Answers

Answer:

Correct option: first one.

Step-by-step explanation:

Let's analyse each option:

1)

When f = 0, |0 + 3| < 9, which is true because 3 is less than 9.

This statement is true, and the value f = 0 in inside the solution graphed by Sarah.

2)

When f = -12, |-12 + 3| < 9, which is true because 9 is equal to 9.

This statement is false, because the inequality uses a "less-than" symbol and not a "equal" symbol, so 9 < 9  is false

3)

When f = 10, |10 + 3| < 9, which is true because 9 is greater than 13.

This statement is false, because 9 is not greater than 13.

4)

When f = -14, |-14 + 3| < 9, which is true because 9 is greater than –11.

This statement is false, because the value of |-14 + 3| is 11 and not -11.

So the correct option is the first one.

Answer:

Answer is A,

Step-by-step explanation:

edge2020

Find the distance between the pair of points given on the graph.

Answers

Answer:

ITS 4 CM

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (1, 0) ← 2 points on the line

d = [tex]\sqrt{(1+2)^2+(0+4)^2}[/tex]

   = [tex]\sqrt{3^2+4^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

   = [tex]\sqrt{25}[/tex]

   = 5

What is the value for x?
Enter your answer in the box.

Answers

Answer:

8

Step-by-step explanation:

because we know its an isosceles triangle angle A and C will both be the same and since we know A = 69 C will also be 69. we also know that angles in a triangle add to 180 so take away the two 69s from the 180 to get 42

then we work backwards if its 5x + 2 then we need to do 5x - 2 to get 40 then divide it by 5 to get your answer 8!

(sorry if the explanation doesnt make sense )

5^7/5^3 in factored form

Answers

Answer:

5^4

Step-by-step explanation:

5^7/5^3

When we divided exponents with the same base

a^b / a^c = a^(b-c)

5^7/5^3 = 5^(7-3) = 5^4

Answer:

5⁴

Step-by-step explanation:

When dividing exponents with the same base, you subtract the exponents without changing the base.

[tex]\frac{5^7}{5^3} \\\\5^4[/tex]

Calculate the circumference of the circle in terms of π. the diameter is 6 C=πd

Answers

Answer:

18.85

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

C = [tex]\pi d[/tex]

C = [tex]\pi 6[/tex]

C = 3.14 * 6

C = 18.84

An endangered whale species has a population of 6000. Biologists estimate that the stock is decreasing at 3% per year. At this rate, approximately how many years will it be before only 60% of the species remains?
A 9.0 years
B 9.6 years
© 10.0 years
D 16.8 years

Answers

9514 1404 393

Answer:

  D.  16.8 years

Step-by-step explanation:

The multiplier each year is 1-3% = 0.97, so the multiplier after x years is 0.97^x. You want to know the value of x when that multiplier is 60%, or 0.60.

  0.97^x = 0.60

  x·log(0.97) = log(0.60) . . . . . . take logarithms

  x = log(0.60)/log(0.97) ≈ 16.8

At the given rate, it will be 16.8 years before 60% of the species remains.

Round 189.939360828 to 4 decimal places.

Answers

Answer:

189.9394

Step-by-Step Explanation:

Round to the nearest 0.0001 or

the Ten Thousandths Place.

Please Help ASAP, ehehdhhdheh

Answers

Answer:

I believe x is the angle shown. I hope this helps

Select the correct answer. What is the simplified form of this expression? (-x2 + x) + (4x2 − x − 1)

Answers

Answer:

[tex]3x^2-1[/tex]

Step-by-step explanation:

[tex](-x^2+x)+(4x^2-x-1)= \\\\-x^2+4x^2+x-x-1= \\\\3x^2-1[/tex]

Hope this helps!

this answer is 3x^2-1
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Complete the table to investigate dilations ofexponential functions.22*3-223.x-214346418-122 3 40acde124.1264 A noncancelable lease contains an option to purchase a leased asset at a price that is sufficiently lower than the asset's expected fair value so that the exercise of the option appears reasonably certain. The fair value of the asset exceeds the lessor's cost of the asset. Therefore, the lease will be accounted for by the lessor as a(n):________ a) Guaranteed lease. b) Financing lease. c) Operating lease. d) Sales-type lease. The Digital Electronic Quotation System (DEQS) Corporation pays no cash dividends currently and is not expected to for the next five years. Its latest EPS was $12.50, all of which was reinvested in the company. The firms expected ROE for the next five years is 21% per year, and during this time it is expected to continue to reinvest all of its earnings. 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Which of the following statements is true of high school diploma The defining trait of hominins is The name for the expression 3/13 is: Consider a low-wage labor market. Workers in this market are not presently covered by the minimum wage, but the government is considering implementing such legislation. If implemented, this law would require employers in the market to pay workers a $5 hourly wage. Suppose all workers in the market are equally productive, the current market clearing wage rate is $4 per hour, and that at this market clearing wage there are 600 employed workers. Further suppose that under the minimum wage legislation, only 500 workers would be employed and 300 workers would be unemployed. Finally, assume that the market demand and supply curves are linear and that the market reservation wage, the lowest wage at which any worker in the market would be willing to work, is $2. Compute the dollar value of the impact of the policy on employers, workers, and society as a whole. In a certain school district, it was observed that 24% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 119 out of 415 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the =0.05 level of significance.What is the hypothesized population proportion for this test? 1. Two people share 350 in the ratio 1:6.Calculate each share........... The Blossom Hotel opened for business on May 1, 2022. Here is its trial balance before adjustment on May 31. BLOSSOM HOTEL Trial Balance May 31, 2022 Debit Credit Cash $ 2,513 Supplies 2,600 Prepaid Insurance 1,800 Land 15,013 Buildings 67,600 Equipment 16,800 Accounts Payable $ 4,713 Unearned Rent Revenue 3,300 Mortgage Payable 33,600 Common Stock 60,013 Rent Revenue 9,000 Salaries and Wages Expense 3,000 Utilities Expense 800 Advertising Expense 500 $110,626 $110,626 Other data: 1. Insurance expires at the rate of $450 per month. 2. A count of supplies shows $1,070 of unused supplies on May 31. 3. (a) Annual depreciation is $2,760 on the building. (b) Annual depreciation is $2,160 on equipment. 4. The mortgage interest rate is 5%. (The mortgage was taken out on May 1.) 5. Unearned rent of $2,620 has been earned. 6. Salaries of $720 are accrued and unpaid at May 31. which linear function represents the line given by the poin-slope equation y-8=1/2(x-4)