Answer:
x =
, x = 1
Step-by-step explanation:
(a)
= x + 7 ( multiply both sides by 2 to clear the fraction )
4x - 1 = 2x + 14 ( subtract 2x from both sides )
2x - 1 = 14 ( add 1 to both sides )
2x = 15 ( divide both sides by 2 )
x = ![\frac{15}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B2%7D)
(b)
3x + 2 =
( multiply both sides by 3 to clear the fraction )
9x + 6 = 2x + 13 ( subtract 2x from both sides )
7x + 6 = 13 ( subtract 6 from both sides )
7x = 7 ( divide both sides by 7 )
x = 1
Answer:
x + 14
Step-by-step explanation:
y = x + 14
Answer:
GH = 6.3 units
Step-by-step explanation:
Assuming that 1 box represents 1 unit, the coordinate pair of G = (-2, -3), while H = (0, 3).
Distance between G and H = ![d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%20d%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D%20)
Let,
![G(-2, -3) = (x_1, y_1)](https://tex.z-dn.net/?f=%20G%28-2%2C%20-3%29%20%3D%20%28x_1%2C%20y_1%29%20)
![H(0, 3) = (x_2, y_2)](https://tex.z-dn.net/?f=%20H%280%2C%203%29%20%3D%20%28x_2%2C%20y_2%29%20)
![GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2}](https://tex.z-dn.net/?f=%20GH%20%3D%20%5Csqrt%7B%280%20-%20%28-2%29%29%5E2%20%2B%20%283%20-%20%28-3%29%29%5E2%7D%20)
![GH = \sqrt{(2)^2 + (6)^2}](https://tex.z-dn.net/?f=%20GH%20%3D%20%5Csqrt%7B%282%29%5E2%20%2B%20%286%29%5E2%7D%20)
![GH = \sqrt{4 + 36} = \sqrt{40}](https://tex.z-dn.net/?f=%20GH%20%3D%20%5Csqrt%7B4%20%2B%2036%7D%20%3D%20%5Csqrt%7B40%7D%20)
(nearest tenth)
Y equals minus three fifths