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2 years ago

Please solve this the question is in the picture

Mathematics

1 answer:

Dominik [7]2 years ago

7 0

Answer:

x : -3

Step-by-step explanation:

1) 15x-3(3x + 4) = 6 (distribute -3 to the numbers on the inside of parentheses)

2) 15x - 9x - 12 =6 (combine like terms 15x-9x = 6x)

3) -6x - 12 = 6 (add twelve to both sides, add the 12 to cancel out the 12)

4) -6x = 18 (divide the -6 on both sides)

5) x = -3

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Find the area of A cylinder has a volume of 175 cubic units and a height of 7 units. The diameter of the cylinder is

damaskus [11]

To find the area of the cylinder we need to find its volume first. Remember that the formula for the volume of a cylinder is $V= \pi r^{2} h$
where:
$V$ is the volume
$r$ is the radius
$h$ is the height
From the question we know that $A=175$ and $h=7$ . Lets replace those values in our volume formula:
$175= \pi r^{2} 7$
Now we can solve for $r$ to find our radius:
$r^{2} = \frac{175}{7 \pi }$
$r^{2} = \frac{25}{ \pi }$
$r= \sqrt{ \frac{25}{ \pi } }$
$r= \frac{5}{ \sqrt{ \pi } }$

Now that we know the radius, we can use the formula for the area of a cylinder $A=2 \pi rh+2 \pi r^{2}$
where:
$A$ is the area
$r$ is the radius
$h$ is the height
We know now that $r= \frac{5}{ \sqrt{ \pi } }$ and $h=7$ , so lets replace those values in our area formula:
$A=2 \pi ( \frac{5}{ \sqrt{ \pi } } )(7)+2 \pi ( \frac{5}{ \sqrt{ \pi } })^{2}$
$A= \frac{70 \pi }{ \sqrt{ \pi } } +50$
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We can conclude that the area of a cylinder that has a volume of 175 cubic units and a height of 7 units is 174.07 square units.

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<h2>Explanation:</h2>

When you dilate an object, you enlarge or reduce the size of it. To do this, we need a scale factor which allows us to make the object larger or smaller depending on the value of that factor. Let's call this factor as k, then it is true that:

If k > 1, the object will be larger than the original one.
If k < 1, the object will be smaller than the original one.

If the dilation is performed centered at the origin, then corresponding points of the original and dilated figures will be connected by straight lines, being the center of dilation the point where all the lines meet.

The only option that meets this requirement is:

A) (x, y) → (3x, 3y)

Whose scale factor is k = 3 making the dilated figure larger than the original one.

<h2>Learn more:</h2>

Dilation: brainly.com/question/10946046

#LearnWithBrainly

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