The correct
answer is-164
Answer:
8 feet
Step-by-step explanation:
First, draw a picture. The pole is 22 feet tall. Katherine is 5.5 feet tall. She is 24 feet from the pole. The light from the top of the pole to the tip of her shadow forms two similar right triangles. The length of her shadow is x.
Now use similar triangles to write a proportion:
22 / (24 + x) = 5.5 / x
Cross multiply:
22x = 5.5 (24 + x)
Distribute:
22x = 132 + 5.5x
Combine like terms:
16.5x = 132
Divide:
x = 8
The shadow is 8 feet long.
Answer:
( - 6 , - 1 )
Step-by-step explanation:
Let's find the rule of that transformation:
1 + = 4 ⇒ = 3
9 + = 10 ⇒ = 1
Thus, the rule of given transformation is ( x + 3 , y + 1 )
So, the image of the point ( - 9 , - 2 ) is
( - 9 + 3 , - 2 + 1 ) = ( - 6 , - 1 )
Sole for f by simplifying both sides of the equation then isolating the variable so that means f=-40 over 3 for number one
for the second equation you do the same thing you did for number one and the answer will be
b=8
Answer:
m= rise/ run
Step-by-step explanation:
We can find the slope by
m= rise/ run
= change in y/ change in x
= ( y2-y1)/(x2-x1)
= vertical change/ horizontal change