What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is Two-thirds the length of the line segment from A to B? (2, –1) (4, –3) (–1, 2) (3, –2)

Answer:

The perpendicular line has a slope of -2/3

Step-by-step explanation:

Perpendicular lines have a slope that multiplies to -1

3/2 * m = -1

Multiply each side by 2/3

3/2 * 2/3 *m = -1 * 2/3

m = -2/3

Answer: -2/3

Step-by-step explanation: The key to understanding this problem is to understand what it means when slopes are perpendicular.

To most students, perpendicular lines are simply

lines that meet  at a 90 degree angle.

However, when dealing with these kinds of problems, it's important

to think about perpendicular lines in terms of their slopes.

As a rule, the slopes of two perpendicular

lines are always negative reciprocals.

So if we know that the slope of one line is 3/2, we can find the slope of the other line by finding the negative reciprocal of 3/2.

So we take the fraction and flip it, then we change the sign.

So the negative reciprocal of 3/2 is -2/3.

Answer:

b

Step-by-step explanation:

1) 180 square cm

Answer:

2) 41 cubic cm

Step-by-step explanation:

1)

Area of pool = 12 * 15 = 180 square cm

2) Volume of water = 1/3 * Volume of pool

= 1/3 *123

= 41 cubic cm

Answer:

v = -16

Step-by-step explanation:

→Distribute the 5 to (-7v - 11):

14 - 10v + 11 = 20v - 35v - 55

→Add like terms:

25 - 10v = -15v - 55

→Add 15v to both sides:

25 + 5v = -55

→Subtract 25 from both sides:

5v = -80

→Divide both sides by 5:

v = -16

Answer:

[tex] \boxed{v = - 16} [/tex]

Step-by-step explanation:

[tex] = > 14 - 10v + 11 = 20v + 5( - 7v - 11) \\ \\ = > 14 + 11 - 10v = 20v + (5 \times ( - 7v)) - (5 \times 11) \\ \\ = > 25 - 10v = 20v - 35v - 55 \\ \\ = > 25 - 10v = - 15v - 55 \\ \\ = > 25 - 10v + 15v = - 55 \\ \\ = > 25 + 5v = - 55 \\ \\ = > 5v = - 55 - 25 \\ \\ = > 5v = - 80 \\ \\ = > v = - \frac{80}{5} \\ \\ = > v = - 16[/tex]

Answer:

B. It is Decreasing

Step-by-step explanation:

When X = -1, Y = 7/3 putting a point at (-1, 7/3)

When X = 1, Y = -1/3 putting another point at (1, -1/3)

The Y value decreases from X = -1 to X = 1

Answer:

Step-by-step explanation:

The graph and the related function are decreasing at a steady rate on the interval (-1, 1).

Answer:

C

Step-by-step explanation:

This is a function because it is a standard quadratic equation, meaning it is a parabola that opens up so it passes the vertical line test.

Answer:

C

Step-by-step explanation:

It is a quadratic equation. This means it is a parabola that opens up so it does pass the vertical line quiz.

Answer:

An algebraic equation (I think :/)

Answer:

Not really

(Algebraic expression)

Answer:

Step-by-step explanation:

The worth of the card =$75

The value of the card decreases after each music purchase forming a sequence:

75,74.11,73.22,72.33...

Now,

We see that the sequence forms an arithmetic sequence:

Where the first term, a is 75

Common difference, d=-0.89

We want to write an equation to define A(n), the amount of money on the gift card after n song purchases.

For an arithmetic sequence,the nth term A(n)=a+(n-1)d

Therefore:

The amount of money on the gift card after n song purchases.

A(n)=75-0.89(n-1)

A(n)=75+0.89-0.89n

A(n)=75.89-0.89n

To find out how many songs can Josh purchase with this card only, we take our nth term A(n) of the sequence to be 0 and solve for n.

A(n)=75.89-0.89n

0=75.89-0.89n

0.89n=75.89

Divide both sides by 0.89

n=85.3

n=85

Therefore, Josh can purchase 85 songs with this card only

Answer:

108 is the answer

Step-by-step explanation:

Answer:

2482

Step-by-step explanation:

Because this sequence starts with -13 and adds 5 each time, the 500th term will be 5(499)-13=2482. Hope this helps!

Answer:

2482

Step-by-step explanation:

Answer:

the answer is 21.6%

Step-by-step explanation:

Answer:

£320

Step-by-step explanation:

Using proportion,

If 110% =  £352

100% = ?

= [tex]\frac{100}{110} * 352[/tex]

= £320

If Smiths holiday costs is 352 pounds including 10% flight tax then the tickets were of 320 pounds.

It is a number or ratio expressed as a fraction of 100.It is expressed by % sign.

We have been given that the total cost of Smith's holiday tickets is 352 pounds and it includes 10% flight tax. then the tickets before the flight tax can be calculated as under:

let the cost before flight tax be x.

x+ x*10%=352

x+10x/100=352

110x/100=352

110x=35200

x=35200/110

x=320

Hence if total cost is 352 pounds and it includes 10% flight tax then the cost of ticket before tax is 320 pounds.

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Answer:

Step-by-step explanation:

180 degree

The gradient of a line which perpendicular to C is -3/2

The gradient of a line shows how steep it is. Gradient is also called the slope of a line.

Let's use the fact that the product of the gradients of two perpendicular lines is -1 to determine the gradient of a line perpendicular to line C.

We can determine the gradient of the line perpendicular to C if the gradient of line C is 2/3.

Take the negative reciprocal of the gradient, we have;

-3/2

Since the negative reciprocal of 2/3 is -3/2.

Therefore, the gradient of the line perpendicular to C is -3/2.

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Answer:

13.7

Step-by-step explanation:

Using cosine formula:

AB^2 = AC^2 + BC^2 - 2*AB*BC*cosC

AB^2 = 15^2 +12^2 -2*15*12*cos60

AB = 13.7 in

Answer:

A worker bee has a mass of \,1\cdot{ 10^{-4}}1⋅10  

−4

1, dot, 10, start superscript, minus, 4, end superscript \text{kg}kgstart text, k, g, end text. There are 4\cdot{ 10^4}4⋅10  

4

4, dot, 10, start superscript, 4, end superscript worker bees living in one hive.

What is the mass of all the worker bees in the hive together?

Write your answer in scientific notation.

Step-by-step explanation:

Answer:

The probability of waking up early at least one day is 1.2

Step-by-step explanation:

We are given the tree diagram

We are supposed to find the probability of waking up early at least one day

So, we are supposed to find the probability of waking up early for 1 and more than 1 day

By studying the tree diagram

So the probability of waking up early for 1 and more than 1 day =[tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}[/tex]

The probability of waking up early at least 1 day = [tex]\frac{2}{5}+\frac{2}{5}+\frac{2}{5}=1.2[/tex]

Hence the probability of waking up early at least one day is 1.2

Answer:

as X > infinity then y>-infinity

Answer:

Both of them are negative infinity

Step-by-step explanation:

Answer:

y= x2+x-3

Step-by-step explanation: i think this is the answer

Answer: 50 miles

Step-by-step explanation:

a^2 + b^2 = c^2

48^2 = 14^2 = c^2

c^2 = 2500

c = 50

Given:

The value of x = 2.

Solution:

F ( x ) = 2x⁴ - x³ + 5x - 9

=> 2 ( 2 )⁴ - ( 2 )³ + 5 × 2 - 9

=> 2 × 16 - 8 + 10 - 9

=> 32 - 8 + 10 - 9

=> 24 + 1

=> 25

A. 25

Answer:

x^2+x+3

Step-by-step explanation:

y=x-7

x-7=x^2+2x-4

x^2+2x-4-x+7

x^2+x+3

Answer: x-7=x^2+2x-4

A P E X

Step-by-step explanation:

but also, if you are wondering how I got to that answer, you substitute y in for the y equation. Since y=x-7 you’ll take that why and put in in the y in (y)=x^2+2x-4.

Answer:

m₁×m₂ = -1

m₁ = 3 and m₂ = -1/3

3×-1/3 = -1

-1 = -1

Hence proved, the given two lines are perpendicular.

Step-by-step explanation:

You can prove that the two lines are perpendicular if the following condition holds true.

m₁×m₂ = -1

Where m₁ is the slope of line 1 and m₂ is slope of line 2

So first you have to find out the slope of each line.

You are given 2 equations

y = 3x + 5         eq. 1

6y + 2x = 1       eq. 2

You have to write these equations in slope-intercept form to find out their slopes.

The slope-intercept form is given by

y = mx + b

Comparing the general form with eq. 1

y = 3x + 5

We notice that the slope is m₁ = 3

Now convert the eq. 2 into slope-intercept form

6y + 2x = 1       eq. 2

6y = -2x + 1

y = (-2x + 1)/6

y = -1/3x + 1/6     eq. 2

Comparing the general form with eq. 2

y = -1/3x + 1/6

We notice that the slope is m₂ = -1/3

Now we have slopes of both lines so let us test whether they are perpendicular or not

m₁×m₂ = -1

m₁ = 3 and m₂ = -1/3

3×-1/3 = -1

-1 = -1

Hence proved, the given two lines are perpendicular.

Answer:

(-1/2, -1/8)

Step-by-step explanation:

I graphed it and (-1/2, -1/8) is the only point that lands on the graph.

Answer:

The measurement of the other parallel side which is the base of the parallelogram is 4.3 m

Step-by-step explanation:

Mathematically, the area of a trapezoid can be calculated using the formula below;

A = 1/2 (a + b) c

where a and b are the parallel sides and c is the height

We have one parallel sides and the height including the value of the area

Let’s say A = 13

a = 2.2m

h = 4.0 m

Plugging these values, we have;

13 = 1/2(a + 2.2) 4

26 = 4(a + 2.2)

26 = 4a + 8.8

26-8.8 = 4a

4a = 17.2

a = 17.2/4

a = 4.3 m

Answer:

1. 2

2. -44

3. -4

Step-by-step explanation:

idk how to explain i used a calculator sorry if im wrong

Answer:

She made [tex]18\frac{1}{15}[/tex] cups of lemonade in total.

Step-by-step explanation:

A fraction contains a numerator(upper value) and denominator(lower value). The total cup of lemonade that Beatrice made is 25 1/3.

A fraction contains a numerator(upper value) and denominator(lower value).

When the numerator is less than the denominator, the fraction is called a proper fraction, otherwise, it is called an improper fraction.

A mixed fraction can be converted as,

2 1/2

= (2×2 + 1)/2

= 5/2

= 2.5

Given that Beatrice made lemonade twice, first, she made 7 2/3 cups of lemonade and in the second turn, she made 10 3/5 more cups of lemonade. Therefore, the total cups of lemonade that Beatrice made is,

Total cups of lemonade = 7 2/3 + 10 3/5

= 23/3 + 53/5

= (23×5 + 53×3)/(3×5)

= (115 + 265)/15

= 380/15

= 25 5/15

= 25 1/3

Hence, the total cup of lemonade that Beatrice made is 25 1/3.

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Answer: y=1/3x+11/3

Step-by-step explanation:

Since we given the slope, we can write a slope-intercept form equation.

y=1/3x+b

Since we we don't have our y-intercept, we can plug in the coordinate we are given to find the y-intercept.

6=1/3(7)+b

6=7/3+b

11/3=b

Now that we have our y-intercept, we can complete our equation.

y=1/3x+11/3

Option D 13 dollars per hour