Please explain how to do this math

Mathematics

1 answer:

N76 [4]2 years ago

8 0

Answer:

x=9

Step-by-step explanation:

First, distribute the 2 and each value in the parentheses.

2*x+2*5. This is the first half of the equation.

2*x+2*5= 3x+1 You can then simplify

2x+10=3x+1 Subtract 3x from both sides

(2x-3x)+10=(3x-3x[cancels out])+1

-x+10=1 Now subtract 10 from both sides

-x(10-10[cancels out to 0])=(1-10)

-x=-9 Since x is negative we need to solve for positive

x=9

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graph the image of this figure after a dilation with a scale factor of 2 centered at the origin use the polygon tool to graph t

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Answer:

For this answer, I will label the points. Starting at the top left, then top right, then bottom left and bottom right let the points be A, B, C, D.

The new coordinates will be

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D(4,4)

Step-by-step explanation:

The question is asking for a dilation which is a transformation that makes an image proportionately smaller or larger by a scale factor. The scale factor is how much smaller or larger the shape will be, if the scale factor is between 0 and 1 then it will shrink, if it is greater than one then the image will stretch (be larger). In this case, the scale factor is 2, therefore the image will stretch. Since the center of dilation is the origin, to find the new coordinates simply multiply each x and y value by the scale factor. So A's original coordinates (-2,5) become (-4,10) and so forth. Therefore the equation for this dilation is (x, y) → (2x,2y).

4 0

2 years ago

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When a number is increased by 2.8%, the result is 56. What is the original number to

Sever21 [200]

Answer:

The original number was 54.5.

Step-by-step explanation:

If a number is increased by 2.8%, then it is 102.8% of it's original number.

In mathematics, "of" in virtually all cases means "multiplied by".

Therefore, we do the opposite:

1. Convert to a decimal.