With that table of values, you can come up with a slope intersect form of a line
7 = -8m + b
1 = -5m + b
-5 = -2m + b
7-1 = -3m
6 = -3m
m = -2
1 = -5 * -2 + b
b = 1 - 10
b = -9
so it is y = -2x - 9
Now we can find where those intersect
-2x - 9 =2 (x+4)^2 - 5
-2x - 9 = 2(x^2 + 8x + 16) - 5
-2x - 9 = 2x^2 +16x + 32 -5
2x^2 + 18x +36 = 0
x^2 + 9x + 18 = 0
D = 81 - 72 = 9 = 3^2
x1 = (-9 - 3) / 2 = -6; y1 = 3
x2 = (-9 + 3) / 2 = -3; y2 = -3
so the solutions are (-6; 3) and (-3; -3)
Answer:
a)
b)
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.
Point slope:
a) in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is .
We will substitute and .
This simplifies to:
b) The equation y=3x+4 follows y=mx+b. For the perpendicular line, . We will need to change it into its negative reciprocal which is .
We will substitute and .
B) 0.88
It is the total weight of rocks
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Domain : (-∞,∞)
range : [1,∞)
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Answer:
20 candles
Step-by-step explanation: