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2 years ago

Please help me whats -2(a-3)=12 showing your work and how you did it (solving for a)

Mathematics

1 answer:

kenny6666 [7]2 years ago

4 0

Answer:

i believed its a=-3

Step-by-step explanation:

-2(a-3)=12

-2a+6=12

-2a=6

divide -2

a=-3

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Please help explanation if possible

Novay_Z [31]

Answer:

Equation pf parallel line y = 4x + C

now this line pass through (-2,4) so it satisfies the eqn

Then, 4 = -8+C

C = 12

<h2>Hence required equation:- </h2>

hope it helps

4 0

2 years ago

Read 2 more answers

If an object is dropped from a height of 55 feet, the function d = -16^2 + 55 gives the height of the object after t seconds. Gr

motikmotik

Answer:

Approximately 1.9 seconds (correct to nearest tenth)

Step-by-step explanation:

Looks like the function is d = -16t^2 + 55 ( you left out the t)

The answer is the value of t when d = 0 so we have the equation:-

0 = -16t^2 + 55

16t^2 = 55

t^2 = 55/16

t = sqrt (55/16)

= 1.85 seconds

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3 years ago

Read 2 more answers

Please help asap !!!!

USPshnik [31]

Your answer is C,105

7 0

3 years ago

If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice must have a perimeter of 24

VARVARA [1.3K]

Answer:

A 12 in diameter will reward you with the largest slice of pizza.

Step-by-step explanation:

Let $r$ be the radius and $\theta$ be the angle of a circle.

According with the graph, the area of the sector is given by

$A=\frac{1}{2}r^2\theta$

The arc lenght of a circle with radius $r$ and angle $\theta$ is $r \theta$

The perimeter of the pizza slice is composed of two straight pieces, each of length r inches, and an arc of the circle which you know has length s = rθ inches. Thus the perimeter has length

$2r+r\theta=24 \:in$

We need to express the area as a function of one variable, to do this we use the above equation and we solve for $\theta$

$2r+r\theta=24\\r\theta=24-2r\\\theta=\frac{24-2r}{r}$

Next, we substitute this equation into the area equation

$A=\frac{1}{2}r^2(\frac{24-2r}{r})\\A=\frac{1}{2}r(24-2r)\\A=12r-r^2$

The domain of the area is

$0$

To find the diameter of pizza that will reward you with the largest slice you need to find the derivative of the area and set it equal to zero to find the critical points.

$\frac{d}{dr} A=\frac{d}{dr}(12r-r^2)\\A'(r)=\frac{d}{dr}(12r)-\frac{d}{dr}(r^2)\\A'(r)=12-2r$