9514 1404 393
Answer:
Step-by-step explanation:
The form of the equation you are given is called "point-slope" form. The "slope" in this case is the per-hour fee. The point is (9 h, $195). Point-slope form generally looks like this:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Here, you have m=15, (h, k) = (9, 195), so the equation looks like ...
y -195 = 15(x -9)
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The "one-time fee" is the cost when hours are zero.
y -195 = 15(0 -9)
y = 195 -9(15) = 60 . . . . add 195 to both sides, and evaluate
The one-time fee is $60.
Answer:
<u>sum</u><u> </u><u>is</u><u> </u><u>1</u><u>2</u><u>7</u><u>5</u>
Step-by-step explanation:
![sum = \frac{n}{2} [2a + (n - 1)d] \\ \\ sum = \frac{50}{2} [(2 \times 1) + (50 - 1) \times 1] \\ \\ sum = 25(51) \\ sum = 1275](https://tex.z-dn.net/?f=sum%20%3D%20%20%5Cfrac%7Bn%7D%7B2%7D%20%5B2a%20%2B%20%28n%20-%201%29d%5D%20%5C%5C%20%20%5C%5C%20sum%20%3D%20%20%5Cfrac%7B50%7D%7B2%7D%20%5B%282%20%5Ctimes%201%29%20%2B%20%2850%20-%201%29%20%5Ctimes%201%5D%20%5C%5C%20%20%5C%5C%20sum%20%3D%2025%2851%29%20%5C%5C%20sum%20%3D%201275)
Slope of AB=(2-3)/(1+1)=-1/2; AC=(-1-3)/(-3+1)=-4/-2=2; BC=(-1-2)/(-3-1)=-3/-4=3/4.
The product of two sides that are perpendicular is -1. Slopes of AB and AC are perpendicular so angle A is a right angle. ABC is a right-angled triangle.
Answer:
It should be 5 but my brain is literally dead
Step-by-step explanation:
Please give brainlest
Answer:
C
Step-by-step explanation:
The solution to the system of the inequalities lies in the shaded region between the 2 lines.
The ordered pairs (5, - 2), (3, 1), (4, 2) lie within this region ⇒ C
