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ArbitrLikvidat [17]
3 years ago
13

Find the value of r so the line that passes through each pair of points has the given slope.

Mathematics
1 answer:
ZanzabumX [31]3 years ago
3 0
M = (y2 - y1) / (x2 - x1)
1/4 = (5-3) / (r +4)
1/4 = 2/ (r + 4)
Cross multiply
2*4 = r + 4
8 = r + 4
Subtract 4 from both sides
4 = r

CHECK
(-4,3)(4,5)
m = (5-3)/(4--4) = 2/8 = 1/4
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12 a^2 + 60 a - 8
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3 years ago
I need some help plz
scZoUnD [109]

Answer:

  one solution is (0, -2)

Step-by-step explanation:

The line y = -x is the boundary of the solution space of the first inequality. The less-than symbol (<) tells you that the line will be dashed and the shading will be below it. The line has a slope of -1 and goes through the y-intercept point (0, 0).

The line y = x - 2 is the boundary of the solution space for the second inequality. The less-than-or-equal-to symbol (≤) tells you the line will be solid (or equal to) and the shading will be below it (less than). The line has a slope of +1 and goes through the y-intercept point (0, -2).

The area of the graph where the shadings overlap is the solution space for the system of inequalities. Any point in that area will do, including points on the solid line where y < -x. (0, -2) is one such point.

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3 years ago
When you divide two fractions, is the quotient always smaller than the dividend?
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Ashton designs movie sets. For one scene, he has to hang a banner across an archway that takes the shape of a parabola modeled b
Crazy boy [7]
No question is asked so I'm not sure what you are looking for but below I calculated the point where the two equations intersect:
y - x = 4 → y = x + 4
y = - x² + 6x
x + 4 = - x² + 6x
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when x = 4, then y = x + 4 = 4 + 4 = 8 → (4,8)
when x = 1, then y = x + 4 = 1 + 4 = 5 → (1,5)

The line and parabola intersect at two points: (4,8) and (1,5)



5 0
3 years ago
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