I hope my answer help you in your question
Answer:
Option C. 10.5(12 + x) square feet
Option E. (126 + 10.5x) square feet
Step-by-step explanation:
step 1
Find the area of the original living room
we know that
The area of the original living room is equal to

we have

substitute

step 2
Find the new area of the living room
The length of the room is being expanded by x feet
so
we have

The new area is

The expanded form of the expression is
Apply distributive property

Answer:
10 miles.
Step-by-step explanation:
Let x be the number of miles on Henry's longest race.
We have been given that Henry ran five races, each of which was a different positive integer number of miles.
We can set an equation for the average of races as:

As distance covered in each race is a different positive integer, so let his first four races be 1, 2, 3, 4.
Now let us substitute the distances of 5 races as:


Let us multiply both sides of our equation by 5.


Let us subtract 10 from both sides of our equation.


Therefore, the maximum possible distance of Henry's longest race is 10 miles.
The rules for multiplying powers with the same base is you are basically doing the pemdas method Please Excuse My Dear Aunt Sally pemdas
Answer:
<u></u>
Explanation:
The text and the model are garbled.
This is the question amended:
<em />
<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>
<em>H(t) = -10 cos(2π/150 t)+10</em>
<em />
<em>When does Hyun Woo first reach a height of 16 m?</em>
<em />
<h2>Solution</h2>
<em />
When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:
- <em>16 = -10 cos(2π/150 t)+10</em>
<em />
Then you must find the lowest positive value of t that is a solution of the equation.
Solve the equation:
- <em>16 = -10 cos(2π/150 t)+10</em>
- t = 52.86s ≈ 53 s ← answer