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taurus [48]
3 years ago
7

What is the image of p for dilation with center (0,0)and a scale factor of 2.5

Mathematics
1 answer:
malfutka [58]3 years ago
7 0

Answer:

The image of p is (2.5x , 2.5y)

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

 the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

* In our problem

- Point p is (x , y)

- Center of dilation is (0 , 0)

- The scale factor is 2.5

* To get the image multiply each coordinates of p by 2.5

∴ The image of p is (2.5x , 2.5y)

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In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 6%. H
Alex

Answer:

169,000 people

Step-by-step explanation:

increase from 2010-2015:

168000/100 = 1680 = 1%

1680 x 7 = 11,760 people

population at 2015 = 168000+11760 = 179,760

decrease from 2015-2020:

179760/100 = 1797.6 = 1%

1797.6 x 6 = 10,785.6 people

population at 2020 = 179760-10787.6 = 168,974.4 people

rounded to the nearest 100 = 169,000 people

3 0
2 years ago
What is the value of x in the figure?
Bumek [7]

Answer:

29

Step-by-step explanation:

x+61=90

This is because they are complementary angles.

You can tell by the little square in the corner next to them

x=29

4 0
3 years ago
Someone please help!!
mario62 [17]
Because l//m, s=n
k+p+n=180
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8 0
3 years ago
Simplify 5(x+10)=25. When (x) equals 0
guajiro [1.7K]

Answer:

5(x+10)=25

5x+50=25

5×0+50-25=0

0+25

6 0
3 years ago
Read 2 more answers
A circle with radius 3 has a sector with central angle 1/9 pi radians what is the area of the sector
dem82 [27]

Answer:

The area of the sector is  \frac{\pi}{2}\ units^2

Step-by-step explanation:

step 1

Find the area of complete circle

A=\pi r^2

we have

r=3\ units

substitute

A=\pi 3^2\\A=9\pi\ units^2

step 2

Find the area of the sector

we know that

The area of complete circle subtends a central angle of 2π radians

so

using proportion

Find out the area of a sector by a central angle of 1/9 pi radians

\frac{9\pi}{2\pi}=\frac{x}{\frac{1}{9}\pi} \\\\x=9\pi(\frac{1}{9}\pi})/2\pi\\\\x=\frac{\pi}{2}\ units^2

5 0
3 years ago
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