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kiruha [24]
2 years ago
13

What is the solution of this equation -12x-7=53

Mathematics
2 answers:
umka21 [38]2 years ago
8 0

Answer:

<em>x </em>= -5

Step-by-step explanation:

You have to work backwards.

53 + 7 = 60

60 ÷ 12 = 5

Add the negative »»» -5

Taya2010 [7]2 years ago
5 0
X= -5

Explanation: Move the constant to the right-hand side and change its sign, Add the numbers, Divide both sides of the equation by -12.
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A church window consisting of a rectangle topped by a semicircle is to have perimeter p . find the radius of the semicircle if t
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Answer:

r=\dfrac{p}{4+\pi}

Step-by-step explanation:

Let r be the radius of the semicircle, then 2r is the width of the rectangle. Let y be the length of the rectangle. The perimeter of the window consists of two lengths, one width and length of semicircle, then

p=2y+2r+\pi r.

Express y:

y=\dfrac{p-2r-\pi r}{2}.

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Substitute y into the area expression:

A=\dfrac{p-2r-\pi r}{2}\cdot 2r+\dfrac{1}{2}\pi r^2=pr-2r^2-\pi r^2+\dfrac{1}{2}\pi r^2=pr-2r^2-\dfrac{1}{2}\pi r^2.

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Equate A' to 0:

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When r then A'>0 and the function A is increasing, when r>\dfrac{p}{4+\pi}, then A' and the function A is decreasing. This means that at point r=\dfrac{p}{4+\pi} the function A takes it maximal value (the area is maximal).

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4 0
3 years ago
42 = -7 (z - 3)<br><br> z = ?
liubo4ka [24]

Answer:

The answer to your question is z = -3

Step-by-step explanation:

Expand                 42 = -7(z - 3)

                             42 = -7z + 21

Simplify                 7z = -42 + 21

                             7z = -21

Clear z                    z = \frac{-21}{7}

                              z = -3                                                            

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3 years ago
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hello. your answer is -3. I just took the assignment. hope it helps.

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