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ivolga24 [154]
3 years ago
6

Which represents the solution(s) of the system of equations, y=-x^2+6x+16 and y=-4x+37? Determine the solution set algebracicall

y.
A). (3, 25)

B). (-3, 49)

C). (3, 25) and (7,9)

D). (-3, 49) and (-7, 65)
Mathematics
1 answer:
padilas [110]3 years ago
4 0
Option C is the correct answer.
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x = 18

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Step-by-step explanation:

The equation of a line passing through the point (3,2) and(2, 3) is__

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Select the 2 pairs of points so that the line between those points has slope 3/4. There are
sleet_krkn [62]

Answer:

D.

(0,5) and (-4,2)

E.

(-4,4) and (-1,7)

Step-by-step explanation:

To solve this problem, we apply the slope formula and compare with the known slope to see if the answer tallies;

 Slope  = \frac{y_{2} - y_{1}  }{x_{2} - x_{1} }  

A.

(0,5) and (-4,8)

     x₁ = 0       y₁ = 5

     x₂ = -4     y₂  = 8

   Slope  = \frac{8-5}{-4-0}   = -\frac{3}{4}

B.

(6,-1) and (10,2)

     x₁ = 6       y₁ = -1

     x₂ = 10     y₂  = 2

   Slope  = \frac{10-6}{ 2-(-1)}   = \frac{4}{3}

C.

(1,5) and (4,7)

      x₁ = 1       y₁ = 5

     x₂ = 4     y₂  = 7

   Slope  = \frac{7-5}{4-1}   = \frac{2}{3}

D.

(0,5) and (-4,2)

     x₁ = 0       y₁ = 5

     x₂ = -4     y₂  = 2

   Slope  =  (2-5) / (-4-0)  = 3/4

E.

(-4,4) and (-1,7)

      x₁ = -4       y₁ = 4

     x₂ = -1        y₂  = 7

   Slope  = \frac{7-4}{-1-(-4)}   = \frac{3}{4}

4 0
3 years ago
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