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3 years ago

Write the following equation in slope-intercept form: y-8= 4(x+10)

Mathematics

2 answers:

tamaranim1 [39]3 years ago

7 0

Answer:

y = 4x + 48

Step-by-step explanation:

Slope intercept form: y = mx + b

y - 8 = 4x + 40

y = 4x + 48

Alenkinab [10]3 years ago

3 0

Slope intercept form Y=4x+48

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HELP PLS I NEED HELP When solving the equation such as 3/5x = 1/9, why would you multiply both sides of the equation by the reci

True [87]

Because 3/5 and 5/3 make a product of 1, so you have one x on the right side.

8 0

3 years ago

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+121t

Alenkasestr [34]

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by

$h(t)=-4.9t^2+121t+283$

The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:

$h(t)=0\implies-4.9t^2+121t+283=0$

Using the quadratic formula, the solution for our problem is

$\begin{gathered} t=\frac{-(121)\pm\sqrt{(121)^2-4(-4.9)(283)}}{2(-4.9)} \\ =\frac{121\pm142.083778...}{9.8} \\ =\frac{121+142.083778...}{9.8} \\ =26.8452834694... \end{gathered}$

The rocket splashes after 26.845 seconds.

The maximum of this function happens at the root of the derivative. Differentiating our function, we have

$h^{\prime}(t)=-9.8t+121$

The root is

$-9.8t+121=0\implies t=\frac{121}{9.8}=12.347$

Then, the maximum height is

$h(12.347)=1029.99$

1029.99 meters above sea level.

6 0

1 year ago

Solve the following equation:<br>17x = 102

Furkat [3]

Answer:

x=6

Step-by-step explanation:

Step 1: Divide both sides by 17.

17x17=10217

x=6

3 0

3 years ago

Read 2 more answers

5. Change the following mixed numbers to improper

bonufazy [111]

A.23/6
b.23/8
c.26/5
d.64/9

3 0

2 years ago

The area of four walls of a rectangular room is 96m2 and its height is 4m.

Delicious77 [7]

Answer:

<h2>The answer is 56 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

To find the area we must first find the length of the rectangle using it's area.

That's

Area = length × height

From the question

Area = 96 m²

height = 4 m

So we have

96 = 4l

Divide both sides by 4

length = 24 m

Now we have

Perimeter = 2(24) + 2(4)

= 48 + 8

We have the final answer as

Hope this helps you

7 0

4 years ago