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Marysya12 [62]
3 years ago
12

Please help Faaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaast 2x ≤ − 2/7 (8x + 8)

Mathematics
1 answer:
soldi70 [24.7K]3 years ago
5 0

Answer:

<h2>x\leq -  \frac{8}{15}</h2>

Step-by-step explanation:

<h3>2x \leq -  \frac{2}{7} (8x + 8)</h3>

<u>First of all multiply through by 7</u>

We have

<h3>14x\leq - 2(8x + 8)</h3>

<u>Expand the terms in the bracket</u>

That's

<h3>14x\leq - 16x - 16</h3>

<u>Add 16x to both sides</u>

That's

<h3>14x + 16x\leq16x - 16x - 16 \\30x\leq - 16</h3>

<u>Divide both sides by 30</u>

We have the final answer as

<h3>x\leq -  \frac{8}{15}</h3>

Hope this helps you

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A cylinder has a radius of 6 inches and a height of 15 inches. What is the surface area of the cylinder? Express the answer in t
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Answer:

The surface area for this cylinder is 252*pi square inches.

Step-by-step explanation:

The surface area of a cylinder can be calculated by using the following formula:

surface area = 2*pi*r² + 2*pi*r*h

Applying the data from the problem, we have:

surface area = 2*pi*(6)² + 2*pi*(6)*15

surface area = 2*pi*36 + 180*pi

surface area = 72*pi + 180*pi

surface area = 252*pi

The surface area for this cylinder is 252*pi square inches.

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the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the
dimaraw [331]

The length and width of the rectangle are 18 in and 1 in, respectively.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : b*h, where b = base and h =height.

For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus,  from the value of area given, you can find the values of the length and width of the rectangle.

A=b*h

18=(W+17)*W

18=W²+17W

W²+17W-18=0

Solving this quadratic equation, you have:

w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}

w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}

w1=1 and w2= -18

For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

As, the area (l*w) is 18 in², see.

18=l*w

18=l*1

l=18 in

Read more about the area of rectangle here:

brainly.com/question/25292087

#SPJ1

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This is your answer!

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If AB = 4 inches, which does AC equal?
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If AB = 4 inches, AC would equal to 8 inches. The correct answer between all the choices given is the last choice or letter D. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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