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gregori [183]
3 years ago
15

-3x+15y=-30 -4x+5y=5

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

Answer:

(-5,-3)

Step-by-step explanation:

The answer is (-5,-3)

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Step-by-Step explanation:

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The base of a triangle is 7 inches more than 4 times the height. If the area of the triangle is 93 square inches, find the base
Galina-37 [17]

Answer:

Step-by-step explanation:

Let the height = h

Let the base = 4h + 7

Area of a triangle = 1/2 * b * h

Area = 93 square inches

1/2 * (4h + 7)* h = 93            Multiply both sides by 2

(4h + 7) * h = 93*2

(4h + 7)*h = 186                    Remove the brackets

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a = 4

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c = - 186

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x1 = (-7 + sqrt(3025)) / 8

x1 = (-7 +55 ) / 8

x1 = (48)/8

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There is another root, but it has to be minus and therefore cannot be used as a length. x2 = - 7.75

h = 6

b = 4*6 + 7 = 31

Check

Area = 1/2 * b * h

Area = 1/2 * 31 * 6

Area = 1/2 *186

Area = 93 which is what we were given so the answer is correct.

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Step-by-step explanation:

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