Answer:
Step-by-step explanation:
![\frac{a^{m}}{a^{n}}=a^{m-n}\\\\a^{m}*a^{n}=a^{m+n}\\\\\frac{125t^{-4}}{5^{-3}}*625*t^{-8}\\\\=\frac{5^{3}t^{-4}}{5^{-3}}*5^{4}*t^{-8}\\\\=5^{3-[-3]+4}*t^{-4-8}\\\\=5^{3+3+4}t^{-12}\\\\=5^{10}t^{-12}\\\\=\frac{5^{10}}{t^{12}}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%5E%7Bm%7D%7D%7Ba%5E%7Bn%7D%7D%3Da%5E%7Bm-n%7D%5C%5C%5C%5Ca%5E%7Bm%7D%2Aa%5E%7Bn%7D%3Da%5E%7Bm%2Bn%7D%5C%5C%5C%5C%5Cfrac%7B125t%5E%7B-4%7D%7D%7B5%5E%7B-3%7D%7D%2A625%2At%5E%7B-8%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%5E%7B3%7Dt%5E%7B-4%7D%7D%7B5%5E%7B-3%7D%7D%2A5%5E%7B4%7D%2At%5E%7B-8%7D%5C%5C%5C%5C%3D5%5E%7B3-%5B-3%5D%2B4%7D%2At%5E%7B-4-8%7D%5C%5C%5C%5C%3D5%5E%7B3%2B3%2B4%7Dt%5E%7B-12%7D%5C%5C%5C%5C%3D5%5E%7B10%7Dt%5E%7B-12%7D%5C%5C%5C%5C%3D%5Cfrac%7B5%5E%7B10%7D%7D%7Bt%5E%7B12%7D%7D)
The -48 is NEGATIVE and the 48 is positive
A. 3x + y = 13 → 15x + 5y = 65
x - 5y = 15 → x - 5y = 15
16x = 80
16 16
x = 5
x - 5y = 15
5 - 5y = 15
- 5 - 5
-5y = 10
-5 -5
y = -2
(x, y) = (5, -2)
b. 6x - y = 14
2x + y = 12
8x = 26
8 8
x = 3¹/₄
6x - y = 14
6(3¹/₄) - y = 14
19¹/₂ - y = 14
- 19¹/₂ - 19¹/₂
-y = -5¹/₂
-1 -1
y = 5¹/₂
(x, y) = (3¹/₄, 5¹/₂)
c. 3x - 4y = 22 → 15x - 20y = 110
2x + 5y = 7 → 8x + 20y = 28
23x = 138
23 23
x = 6
3x - 4y = 22
3(6) - 4y = 22
18 - 4y = 22
- 18 - 18
-4y = 4
-4 -4
y = -1
(x, y) = (6, -1)
<span>It says to round to the nearest 10th of a foot, so your answer would be 10.2 feet.</span>
