Answer:
32°, 58°
Step-by-step explanation:
Let one acute angle measure x.
The other acute angle measures 2x - 6.
The sum of the measures of the acute angles of a right triangle is 90.
x + 2x - 6 = 90
3x - 6 = 90
3x = 96
x = 32
2x - 6 = 2(32) - 6 = 58
Answer: 32°, 58°
Answer:
Option B
Step-by-step explanation:
Given the following question:

In order to find the answer, we simply apply the exponent rule and add the exponents.



The answer is option B or "5^6."
Hope this helps.
Answer:
13, 18, 72
Step-by-step explanation:
let x-5 represent the first number, since the first number is 5 less than the third number. let x represent the third number. let 4x represent the third number, since it's four times greater than the third number.
set up an equation, and make it equal to 103:
x-5+x+4x=103
solve:
6x-5=103
6x=108
x=18
so, the third number is 18.
the first number is equal to x-5, so:
18-5=13
the second number is equal to 4x, so:
4(18)=72
so, the three numbers are 13, 18, and 72.
Answer:
- 2
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [a, b ] is

Here [a, b ] = [1, 8 ], thus
f(b) = f(8) = - 8² + 7(8) + 14 = - 64 + 56 + 14 = 6
f(a) = f(1) = - 1² + 7(1) + 14 = - 1 + 7 + 14 = 20
average rate of change =
=
= - 2