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2 years ago

Write the standard form of the equation of the circle with the given characteristics.

Mathematics

1 answer:

SOVA2 [1]2 years ago

7 0

<h2><u>Circle Equations</u></h2>

<h3>Write the standard form of the equation of the circle with the given characteristics.</h3><h3>Center: (0, 0); Radius: 2</h3>

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

<u>(h, k)</u> is the center; and
<u>r</u> is the radius

Substitute the values of the center and radius to the standard form.

<u>Given:</u>

<u>(0, 0)</u> - <u>center</u>

<u>2</u> - <u>radius</u>

(x - h)² + (y - k)² = 2²
(x - 0)² + (y - 0)² = 4
x² + y² = 4

<u>Answer:</u>

The equation of the circle is <u>x² + y² = 4</u>.

Wxndy~~

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Who can answer this ??<br> Win BRAINLEST !<br><br> HELP <br> Thank You In Advance !

kirill [66]

ANSWER

$( {x - 11)}^{2} + ( {y - 5)}^{2} = 16$

EXPLANATION

The given circle has center:

(11,5)

and

radius: 4

The equation of a circle with center (h,k) and radius , r is given in standard form as;

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

We substitute the values into the formula to obtain,

$( {x - 11)}^{2} + ( {y - 5)}^{2} = {4}^{2}$

$( {x - 11)}^{2} + ( {y - 5)}^{2} = 16$

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3 years ago

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3 years ago

Write an equation for a line parallel to y=-2x-1 that passes through (2,-7)

vovikov84 [41]

Answer:

The equation is;

y = -2x - 3

Step-by-step explanation:

If two lines are parallel, then they have an equal value of slope

Mathematically we can generally have the equation of a line written as;

y = mx + c

where m

is slope and c is the y-intercept

In the case of the equation given, the slope of the line is -2

So technically, we want to get the equation of a line that has a slope of -2 and it passes through (2,-7)

The point-slope form can be written as;

y-y1 = m(x-x1)

So the equation we want to get is;

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3 years ago

Which is an equivalent expression for four sevenths squared times two thirds raised to the power of negative three all raised to

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Seven-fourths squared times two-thirds cubed the expression is (7/4)² x (2/3)³. The correct option is B.

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression will be solved as below:-

[ ( 4 / 7)² x ( 2 / 3)⁻³ ]⁻¹ = ( 4 / 7)⁻² x (2 / 3)³

[ ( 4 / 7)² x ( 2 / 3)⁻³ ]⁻¹ = ( 7 / 4)² x (2 / 3)³

Therefore, seven-fourths squared times two-thirds cubed the expression is (7/4)² x (2/3)³. The correct option is B.

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