MATHEMATICS HIGH SCHOOL

S = vt + 16t2 for v.

Answers

Answer 1

Answer:

Answer:

s = vt + 16t^2

s -16t^2 = vt

s/t -16t = v

Answer 2

Answer:

Answer:

v = s/t -16t

Step-by-step explanation:

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what is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? y = 4x − 2 y = 2x − 4 y = −3(x − 4) y = 3(x 4)

Answers

Equation in point slope form is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1).

y - 0 = (6 - 0)/(2 - 4) (x - 4)
y = 6/-2 (x - 4)
y = -3(x - 4)

Answer:b

Step-by-step explanation:

You are going to have a swimming pool put your back yard this summer. The dimensions of the pool are going to be 15 ft by 30 ft. There is going to be a concrete walkway around the outside of the pool, but they are not sure how wide it will be. The design of the pool, including the walkway, is shown below.

Answers

The perimeter of a shape is the sum of the all visible side lengths of the shape. The perimeter of the pool including the walkway is 90 + 8x

Given that:

$Length = 15$

$Width = 30$

Let the width of the walkway be x.

The dimension of the pool including the walkway is calculated by adding the dimension of the pool to the width of the walkway (on both sides):

So, we have:

$Length = 15 + x + x$

$Length = 15 + 2x$

$Width = 30 + x + x$

$Width = 30 + 2x$

The perimeter (P) of the walkway is then calculated using:

$P = 2 * (Length + Width)$

This gives:

$P = 2 * (15 + 2x + 30 + 2x)$

Collect like terms

$P = 2 * (15 + 30+ 2x + 2x)$

$P = 2 * (45+ 4x)$

Open brackets

$P = 2 * 45+ 2 * 4x$

$P = 90+ 8x$

Hence, the perimeter of the pool including the walkway is 90 + 8x (see attachment)

Answers

1 and 5 are supplementary angles since they form a straight line

alternate exterrior angles I believe. They are both exterrior and alternate from each other so i would assume that to be correct.

Which equation represents a proportional relationship that has a constant of proportionality equal to 1/5?y = x - 1/5
y = x + 1/5
y = 1/5x
y = 5x

Answers

Answer:

y = 1/5x

Step-by-step explanation:

quickly enter 0 1 2 3 4 5 for x

see what you get for y

for y = 1/5x you get the SAME number whenever you do y divided by x

x y

0 0

5 1

10 2

15 3

20 4

The equation that represents a proportional relationship with a constant of proportionality equal to 1/5 is:

y = 1/5x

A proportional relationship between two variables x and y can be written as:

y = kx

Where k is the constant of proportionality.

If k = 1/5, then the equation becomes:

y = (1/5)x

Which is the same as:

y = 1/5x

So out of the given options, y = 1/5x is the only equation that represents a proportional relationship with a constant of proportionality equal to 1/5.

The other equations have different constants of proportionality:

- y = x - 1/5 -> k = 1

- y = x + 1/5 -> k = 1

- y = 5x -> k = 5

Therefore, y = 1/5x is the correct equation with a constant of proportionality equal to 1/5.

3 and a Half cubes of sand transported at once. How many times do vehicle travel to transport 28 sand cubes.