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Blababa [14]
3 years ago
8

Suppose x is any positive number why is circle 1 similar to circle

Mathematics
1 answer:
Nostrana [21]3 years ago
3 0

Answer:

A circle 2 is a dilation of circle 1 with a scale factor of 5

Step-by-step explanation:

We have been given information about two circles as given below:

circle 1: center (0,0) and radius 2x

circle 2: center (0,0) and radius 10x .

Now we need to find about why is circle 1 similar to circle where x is any positive number.

We know that all circles are similar. So after dilation it doesn't affect their similarities.

10x can be obtained from 2x, by multiplying  2x with 5.

So the first choice "A circle 2 is a dilation of circle 1 with a scale factor of 5" is correct.

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2. What are the solutions to the quadratic equation
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Answer:

The answer is x=5 and x=−5

x² - 25 = 0

(x-5)(x+5)=0

x²-5x+5x-25=0

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Simplify the square root of 7+2<br> So 7+2 is inside the quare root
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  3

Step-by-step explanation:

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3 years ago
Write the equation for Chelsea's graph in
xeze [42]

Answer:

y=-4x+16.

Step-by-step explanation:

From the given graph it is clear that the y-intercept is 16.

The line passes through (-2,24) and (2,8). So, slope of line is

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Slope=\dfrac{8-24}{2-(-2)}

Slope=\dfrac{-16}{4}

Slope=-4

Slope intercept form of a line is

y=mx+b

where, m is slope and b is y-intercept.

Substitute m=-4 and b=16 in the above equation.

y=(-4)x+(16)

y=-4x+16

Therefore, the required equation is y=-4x+16.

6 0
3 years ago
Ignore circled one and work it out please​
mash [69]

Answer:

a. \frac{(x-7)}{x^2+x-30}

Step-by-step explanation:

\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}

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3 years ago
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