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gulaghasi [49]
3 years ago
6

Rewrite the following equation in slope-intercept form. 12x – 15y = -2

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
7 0

See attachment for math work.

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When you plot the offered points on the graph, you find only one of them falls inside the shaded region:

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They building in the city has a rectangular base. The length of the base measures 60 ft less than twice the width. The perimeter
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Answer: the length of the base is 290ft

The width of the base is 175 ft

Step-by-step explanation:

The base of the building is rectangular in shape.

Let L represent the length of the base of the building.

Let W represent the width of the base of the building.

The length of the base measures 60 ft less than twice the width. This means that

L = 2W - 60 - - - - - - - - -1

The perimeter of a rectangle is expressed as 2(length + width).

The perimeter of this base is 930ft. It means that

2(L + W) = 930

L + W = 930/2 = 465- - - - - - 2

Substituting equation 1 into equation 2 , it becomes

2W - 60 + W = 465

3W = 465 + 60 = 525

W = 525/3 = 175

L = 465 - W = 465 - 175

L = 290

4 0
3 years ago
Beth will borrow 10,000 which earns 4% compound interest and she will repay that amount in 20 years. How much interest was earne
gtnhenbr [62]

Answer: 18,000

Step-by-step explanation: 10,000 borrowed + the 4% earned x the amount paid within 20 years

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Answer:

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Step-by-step explanation:

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Prove that 1/sin^2A -1/tan^2A= 1
Vika [28.1K]

Answer:

Step-by-step explanation:

LHS =\dfrac{1}{Sin^{2} \ A }-\dfrac{1}{Tan^{2} \ A }\\\\\\ = \dfrac{1}{sin^{2} \ A}- \dfrac{1}{\dfrac{Sin^{2} \ A}{Cos^{2} \ A}}\\\\\\= \dfrac{1}{sin^{2} \ A } - \dfrac{Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{1-Cos^{2} \ A}{Sin^{2} \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Sin^{2} \ A}\\\\\\= 1 = \ RHS

Hint: 1 - Cos² A = Sin² A

4 0
3 years ago
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