Answer:
The correct option is D.
Step-by-step explanation:
We have to find the expresses this statement: A quantity x is equal to the sum of the squares of a and b.
The square of a can be written as a² and the square of b can be written as b².
The sum of squares of a and b can be written as
Since the quantity x is equal to the sum of the squares of a and b, therefore
Therefore option D is correct.
Answer:
1) 69.5
2) 678.6
Step-by-step explanation:
pi3^2=28.27*9=254.5 18*18=324-254.5=69.5
pi24^2=1809.6*.5=904.8 pi6^2=113.1*.5=56.55*4=226.2 904.8-226.2=678.6
Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer:
16 sqrt(30)
Step-by-step explanation:
2√20 × 4√6
Multiply
2*4 sqrt(20*6)
8 sqrt(120)
Simplifying
8 sqrt(4 *30)
We know sqrt(ab) = sqrt(a) sqrt(b)
8 sqrt(4) sqrt(30)
8 *2* sqrt(30)
16 sqrt(30)
