Hello!
The answer are:
- Product of powers.
- Power of a power.
- Negative exponents.
<h2>Why?</h2>
Let's solve it!
It's a math rule that we must solve first what's into a brake or parenthesis, so,
First: Product of powers ![[(7)^{5}*(7)^{3}]](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D)
According to the exponent's law, we have a product of powers case, so, we need to sum the exponents and keep the base
Exponents: 5 and 3
Base: 7
Applying it we have:
Then,
We have a power of a power case, which involves multiplying the exponents:
![[(7)^{5}*(7)^{3}]^{-4}](https://tex.z-dn.net/?f=%5B%287%29%5E%7B5%7D%2A%287%29%5E%7B3%7D%5D%5E%7B-4%7D)
Exponents: 3 and -4
Then,
Finally, we can apply the negative exponents, the negative exponent's rules state that negative exponents are the reciprocal of the positive exponents,
So, we will have that:
Have a nice day!
Same-side interior angles are supplementary, meaning that they add up to 180 degrees.
5x + 34 + 2x + 76 = 180
7x + 110 = 180
7x = 70
x = 10
Measure of angle A = 5(10) + 34 = 84 degrees
Hope this helps!! :)
Are you in college because you misspelled college
Answer: 150 pieces
Step-by-step explanation:
Kiran has used 4/5 of the pieces of the puzzle.
This number translates to 120 pieces.
Assuming the total number of pieces is x, the formula for the total number is:
4/5x = 120
x = 120 ÷ 4/5
x = 120 * 5/4
x = 150 pieces
Answer:
y = (x-5)²+7
Step-by-step explanation:
i graphed x²-10x+32 and found the vertex is at (5,7)
i used the y-intercept as a point on the curve in the formula:
y = a(x-h)²+k
32 = a(0-5)²+7
subtract 7 from each side to get:
25 = 5²a
25 = 25a
a = 1
y = (h-5)² + 7
