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3 years ago

Describe the circle given by the equation (x − 7)^2 + (y − 8)^2 = 9.

Mathematics

1 answer:

matrenka [14]3 years ago

8 0

<h2>The circle (x − 7)² + (y − 8)² = 9 is a circle with center (7,8) and radius is 3</h2>

Step-by-step explanation:

Equation of circle with (h,k) as center and radius r is given by,

(x-h)²+(y-k)² = r²

Here we need to describe the circle given by the equation (x − 7)² + (y − 8)² = 9

Changing equation to (x-h)²+(y-k)² = r² form

(x − 7)² + (y − 8)² = 9

(x − 7)² + (y − 8)² = 3²

So, h = 7 , k = 8 and r = 3

Center is (7,8) and radius is 3

The circle (x − 7)² + (y − 8)² = 9 is a circle with center (7,8) and radius is 3

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a record store is having a sale during which all items will be sold at 25% less then marked prices. How much will a CD marked $1

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3 years ago

What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =

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$\star \blue{ \frak{To \: find :}}$

$\\ \\$

value of x

$\\ \\$

$\star \blue{ \frak{solution:}}$

$\\ \\$

So to find value of x , we have to apply Linear Pair.

$\\ \\$

<u>Equation formed:</u>

$\\ \\$

$\bigstar \boxed{ \tt(10x - 20) \degree + (6x + 8)\degree = 180 \degree} \\$

$\\ \\$

<u>Step by step expansion:</u>

$\\ \\$

$\dashrightarrow \sf(10x - 20) \degree + (6x + 8)\degree = 180 \degree \\$

$\\ \\$

$\dashrightarrow \sf10x - 20 \degree + 6x + 8\degree = 180 \degree \\$

$\\ \\$

$\dashrightarrow \sf10x +6x- 20 \degree + 8\degree = 180 \degree \\$

$\\ \\$

$\dashrightarrow \sf16x- 20 \degree + 8\degree = 180 \degree \\$

$\\ \\$

$\dashrightarrow \sf16x- 12\degree = 180 \degree \\$

$\\ \\$

$\dashrightarrow \sf16x = 180 \degree + 12\degree\\$

$\\ \\$

$\dashrightarrow \sf16x =192\degree\\$

$\\ \\$

$\dashrightarrow \sf \: x = \frac{192\degree}{16\degree} \\$

$\\ \\$

$\dashrightarrow \sf \: x = 12 \degree$

$\\ \\$

$\therefore \underline {\textsf{\textbf{Value of x is \red{12\degree}}}}$

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2 years ago

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<h3>Angles in a triangle</h3>

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learn more on triangle angles here: brainly.com/question/15161714

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