Answer:
![c=15](https://tex.z-dn.net/?f=c%3D15)
Step-by-step explanation:
Use the Pythagorean Theorem.
![a^2+b^2=c^2 \\ \\ 9^2+12^2=c^2 \\ \\ 81+144=c^2 \\ \\ c^2=225 \\ \\ c=\sqrt{225} \\ \\ c=15](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2%20%5C%5C%20%5C%5C%209%5E2%2B12%5E2%3Dc%5E2%20%5C%5C%20%5C%5C%2081%2B144%3Dc%5E2%20%5C%5C%20%5C%5C%20c%5E2%3D225%20%5C%5C%20%5C%5C%20c%3D%5Csqrt%7B225%7D%20%5C%5C%20%5C%5C%20c%3D15)
The equation shown above does not show the substitution property. Instead, it shows the Addition Property of Equation where 3 is added to both of its sides. This is shown below,
4x - 3 = 7
4x - 3 + 3 = 7 + 3
4x = 10
Answer:
5^ -7 =1 / 5^7
Step-by-step explanation:
(5^2)-^2/ 5^3
We know that a^b^c = a^(b*c)
(5^2)-^2 = 5^(2*-2) = 5^-4
5^-4/ 5^3
We know that a^b /a^c = a^ (b-c)
5 ^ (-4-3)
5^ -7
If we don't want to use negative exponents
We know that a^ -b = 1/ a^b
1 / 5^7