X + x + 3(2+x)= 36
2x + 6 + 3x = 36
5x + 6 = 36
5x = 36 - 6
5x = 30
x = 6
Longer piece = 2 + 6 = 8inches
Answer:
Option A, 
Step-by-step explanation:
Given: Deborah bought a computer for
off the list price.
The list price is
.
To find: The amount Deborah spent on the computer.
Solution: We have,
List price of the computer
.
Deborah bought the computer for
off the list price.
The amount Deborah spent on the computer 
.
So, Deborah spent
on the computer.
Hence, option A is correct.
Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.
Answer:
B] f(n) = 6(3)n − 1; f(5) = 486
Step-by-step explanation:
First, you have to identify which type of relation the points have. From the graph you can tell that it's an exponential growth. The x values change in the same amount every time, in this case by 1.
So if the relation is exponential, if we divide the y coordinates you should get the same result every time.
18 / 6 = 3
54 / 18 = 3
162 / 54 = 3
So the y value increases 3 times. That means that the next value should be 162*3 = 486.