Answer:
105 
Step-by-step explanation:
- Rectangle 2 is 3 times rectangle 1. We know this because one side of rectangle 2 is 3 times the same side of rectangle 1.
- Area of rectangle 1 × 3 = area of rectangle 2: 35 × 3 = 105
I hope this helps!
The transformation on function f is (c) a vertical compression by a factor of 1/2
<h3>How to determine the transformation?</h3>
The functions are given as:
f(x) = 2^x
g(x) = 1/2(2^x)
The above means that:
g(x) = 1/2 * f(x)
The factor multiplied by f(x) to get g(x) is:
k = 1/2
The above factor is less than 1 but greater than 0.
This represents a vertical compression
Hence, the transformation on function f is (c) a vertical compression by a factor of 1/2
Read more about transformation at:
brainly.com/question/3457976
#SPJ1
Answer:
The carpenter used 2 7/4 feet of plank for the shelf
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4 feet
Step=3 2/3 feet
Shelf=x feet
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
Change the fractions
21/2 = 17/4 + 11/3 + x
Add 17/4 + 11/3
21/2 =51+44/12 + x
21/2= 95/12 + x
Collect like terms
21/2 - 95/12 =x
126-95/12 = x
31/12=x
2 7/12 =x
Therefore, the carpenter used 2 7/4 feet of plank for the shelf
Answer:
Step-by-step explanation:
Total length of plank =10 1/2 foot
He used
For Deck board=4 1/4
Step=3 2/3
Shelf=x
Total plank=deck board + step + shelf
10 1/2 = 4 1/4 + 3 2/3 + x
4/25
Step-by-step explanation:
16/100, 8/50, 4/25
