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)
The slope of a line usually determines id the line is negative or positive. For example, lines going uphill, or uphill slopes, are positive slopes. The slope will be a positive number such as, yet not limited to, 5, 10, or 57. Or you can also take their counter parts for example, downhill slopes would be considered negative slopes, meaning they go below zero, instead of above, like positive slopes. Hope this helps. :D
Step-by-step explanation:
I hope this helps. good luck
Answer:
x = -8
Step-by-step explanation:
Solve for x:
-(x + 7)/4 = 1/4
Multiply both sides of -(x + 7)/4 = 1/4 by -4:
(-4 (-(x + 7)))/4 = -1
-4×(-1)/4 = (-4 (-1))/4:
(-4 (-1))/4 (x + 7) = -1
(-4)/4 = (4 (-1))/4 = -1:
--1 (x + 7) = -1
(-1)^2 = 1:
x + 7 = -1
4/4 = (4 (-1))/4 = 1:
x + 7 = -1
Subtract 7 from both sides:
x + (7 - 7) = -7 - 1
7 - 7 = 0:
x = -7 - 1
-7 - 1 = -8:
Answer: x = -8
If I assume you meant
![-3(x-4)^{2}+10](https://tex.z-dn.net/?f=-3%28x-4%29%5E%7B2%7D%2B10)
Then the answer is at 4 minutes. This is just the vertex form of the parabola which is
where (h,k) is the vertex. h = 4 so the vertex is at 4 in the x-axis, or in the context of the problem it means at 4 minutes.