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3 years ago

Geometry question, any help is appreciated!

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

8 0

(x+2)² +(y+10)² =4
(x-h)² +(y-k)² =r²
(x-(-2))² +(y-(-10))² =2²
h=-2,
k=-10
Center is (-2, -10).
Radius r=2.

Answer C. Center is (-2, -10), r=2.

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Katy mixed cup of blue paint with cup of red paint. In simplest form, how much paint does she have altogether?

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Answer: She has 2 cups of paint.

Step-by-step explanation:

1 cup + 1 cup = 2 cups

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3 years ago

Plzzzzzzzzzzzzzz! A personal identification number (PIN) is a 4 digit code. A local bank only allows the numbers 1, 2, 3, 4, 5,

Marina86 [1]

Answer:

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Hope this helped!

8 0

3 years ago

What is 74,233 increased by 58,490

MariettaO [177]

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3 years ago

Read 2 more answers

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SpyIntel [72]

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3 0

3 years ago

Find the distance from the point (9, –2) to the line y = 3∕2x + 4. Choices are in the attachment...

zimovet [89]

<h3>Answer: Choice B) $\sqrt{117} \text{ units}$ </h3>

===================================================

Work Shown:

y = (3/2)x + 4

2y = 3x + 8 .... multiply both sides by 2

0 = 3x + 8 - 2y

3x-2y+8 = 0

The original equation transforms to 3x-2y+8 = 0. It is in the form Ax+By+C = 0. We see that A = 3, B = -2, C = 8. This form is very useful to help find the distance from a point to this line.

The formula we will use is

$d = \frac{|A*p+B*q+C|}{\sqrt{A^2+B^2}}\\\\$

where A,B,C were the values mentioned earlier. The p,q are the x and y coordinates of the point given. So p = 9 and q = -2

Plugging all that in gives...

$d = \frac{|A*p+B*q+C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|3*9+(-2)*(-2)+8|}{\sqrt{3^2+(-2)^2}}\\\\d = \frac{|27+4+8|}{\sqrt{9+4}}\\\\d = \frac{|39|}{\sqrt{13}}\\\\d = \frac{39}{\sqrt{13}}\\\\d = \frac{39\sqrt{13}}{\sqrt{13}\sqrt{13}} \ \text{ rationalizing denominator}\\\\d = \frac{39\sqrt{13}}{13}\\\\d = 3\sqrt{13}\\\\d = \sqrt{9}*\sqrt{13}\\\\d = \sqrt{9*13}\\\\d = \sqrt{117}\\\\$

6 0

3 years ago