Once again similar traingles.
With same ratioes as before.
RS/RT = RV/RU=SV/TU = 1/2
The polynomial remainder theorem states that the remainder upon dividing a polynomial

by

is the same as the value of

, so to find

you need to find the remainder upon dividing

You have
..... | 2 ... 14 ... -58
-10 | ... -20 ... 60
--------------------------
..... | 2 ... -6 .... 2
So the quotient and remainder upon dividing is

with a remainder of 2, which means

.
Answer:
A) Area = 
B) Domain = {x < 24}
Step-by-step explanation:
<u>Complete Question:</u>
A car dealership has 24ft of dividers with which to enclose a rectangular play space in a corner of a customer lounge. The sides against the wall require no partition. Suppose the play space is x feet long.
A) express the area of the play space as a function of x
B) find the domain of the function
Solution:
A)
The rectangle has area of length * width
length is x
so width will be 24 - x
Hence, the area will be:
Area = x(24 - x)
Area = 
B)
Domain is the set of x values that make the function defined.
The domain will be all values less than 24.
Because if you take 24, the area would be 0 [doesn't make sense]
if you take anything over 24, the area would be negative [not possible]
Hence, the domain is:
Domain = {x < 24}
Given the perimeter and length of the garden, the width of the garden was extended by 4 feet
<h3>How to find width of the garden</h3>
- Length of the garden = 12 feet
- Width of the garden = 7 feet
- Width extension =( 7 + w) feet
Perimeter = 2(length+ width)
46 = 2{12 + (7 + w)}
46 = 2(12 + 7 + w)
46 = 2(19 + w)
46 = 38 + 2w
46 - 38 = 2w
8 = 2w
w = 8/2
w = 4 feet
Learn more about perimeter:
brainly.com/question/24571594
.75 for the first question
75% for the second question