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Lorico [155]
3 years ago
11

Need help with this please.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
8 0

Answer:

  A'Y' passes through the center of dilation.

Step-by-step explanation:

In any dilation, the center of dilation is an invariant point: it doesn't move.

If Y is the center of dilation, then <em>Y' and Y are the same point</em>. Any line through Y' will go through the center, of dilation, Y.

__

Any pre-image <em>line</em> (not segment) containing the center of dilation will be congruent with the corresponding image line. Dilation is always along a line through the center of dilation. Lines AY and A'Y' are the same line.

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A gardener is planting two types of trees: Type A is 7 feet tall and grows at a rate of 2 inches per year. Type B is 2 feet tall
arsen [322]

Answer: it will take 0.33 years for the heights to be the same.

Step-by-step explanation:

Let x represent the number of years it will take for both trees to be the same height.

Type A is 7 feet tall and grows at a rate of 2 inches per year. This means that the height of the tree after x years would be

2x + 7

Type B is 2 feet tall and grows at a rate of 17 inches per year. This means that the height of the tree after x years would be

17x + 2

For the heights to be the same, the number of years would be

17x + 2 = 2x + 7

17x - 2x = 7 - 2

15x = 5

x = 5/15

x = 0.33 years

4 0
4 years ago
The sales revenue goes up from 2018 to 2019 by 5%. The sales revenue in 2018 was $19,800. What was the sales revenue in 2019?
Cerrena [4.2K]

Answer: $20,790

Step-by-step explanation:

The sales revenue increased by 5% from 2018 to 2019.

The sales revenue that was increased from in 2018 is $19,800 which means that the 2019 sales revenue is 5% more than $19,800.

To find the sales revenue in 2019, do the following:

= 19,800 + (19,800 * 5%)

= 19,800 + 990

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8 0
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She purchased more than 2, but less than 8 items.
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Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi
adoni [48]

Answer:

r = 4

The center is:

(2, -4)

Step-by-step explanation:

We have the following equation

x^2 - 4x + y^2 + 8y = -4

The general equation of a circle has the following form

(x-h)^2 + (y-k)^2 = r^2

Where r is the radius and the point (h, k) is the center of the circle

To transform the given equation in the general equation of a circumference we must use the method of square completions

Step 1

(x^2 - 4x) + (y^2 + 8y) = -4

<u>Step 2</u>

<u> </u>Add and subtract (\frac{b}{2})^2 For an equation of the form

ax^2 +bx +c

(x^2 - 4x +4)-4 + (y^2 + 8y +16) -16= -4

<u>Step 3  </u> Factor the expressions within the parentheses

(x-2)^2-4 + (y+4)^2 -16= -4

<u>Step 4 Simplify</u>

(x-2)^2 + (y+4)^2= -4+16+4

(x-2)^2 + (y+4)^2= 4^2

Finally

r = 4

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