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Travka [436]
2 years ago
10

100 points gor correct answer Identify the base of a triangle in which h=(3x+15) ft and A=(15x+75) ft^2.

Mathematics
2 answers:
ivolga24 [154]2 years ago
7 0

Answer:

b = 10

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

Here h = 3x + 15 and A = 15x + 75, thus

\frac{1}{2} × b × (3x + 15) = 15x + 75

Multiply both sides by 2 to clear the fraction

b(3x + 15) = 30x + 150

Divide both sides by (3x + 15)

b = \frac{30x+150}{3x+15} ← factor numerator and denominator

  = \frac{30(x + 5)}{3(x+5)} ← cancel the factor (x + 5) on numerator/denominator

  = \frac{30}{3}

  = 10

Yakvenalex [24]2 years ago
5 0

Answer:

b = 10ft

Step-by-step explanation:

Area = ½ × base × height

15x + 75 = ½ × base × (3x + 15)

30x + 150 = base × (3x + 15)

10(3x + 15) = base × (3x + 15)

base = 10

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Answer:

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Jimmy is incorrect.

Using long division, you can find that the real answer.

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Given the system of inequalities below: -3x - y < 12 2x + 3y ≥ 9 Give the coordinates of three points that are members of the
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Answer:

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

Step-by-step explanation:

we have

-3x-y< 12 ----> inequality A

The solution of the inequality A is the shaded area above the dashed line

2x+3y\geq 9 ----> inequality B

The solution of the inequality B is the shaded area above the solid line

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Remember that,

If a ordered pair is a solution of the system of inequalities, then the ordered pair must be in the shaded area of the solution

Plot the points

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therefore

The coordinates of the points that are members of the solution set

(-3,7), (0,4) and (2,3)

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