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3 years ago

A circle has its center at (0,0) and passes through the point (0,9). What is the standard equation of the circle?

Mathematics

1 answer:

Alexxandr [17]3 years ago

7 0

Answer:

x^2+y^2=9^2

Step-by-step explanation:

The standard equation of a circle is:

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

Where the center of a circle is (h,k) and r is the radius of the circle. In this case because a circle is equidistant from the center and we have a point where it passes through 9 that means that the radius is 9. However, since the standard equation states that we must write r in the form of $r^2$ this means that $r^2=9^2$ . Therefore by plugging in the values we have:

$(x-0)^2+(y-0)^2=9^2\\\\x^2+y^2=9^2$

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polet [3.4K]

Given:

The equation of line p is

$y=-\dfrac{1}{3}x-3$

Line p and q are parallel.

To find:

The equation of line q.

Solution:

The slope intercept form of a line is

$y=mx+b$

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

The equation of line p is

$y=-\dfrac{1}{3}x-3$

The slope of the line is $-\dfrac{1}{3}$ .

We know that the slopes of parallel lines are equal.

Line p and q are parallel. So,

Slope of line q = $-\dfrac{1}{3}$

Line q passes through (6,-4) with slope $-\dfrac{1}{3}$ , so the equation of the line is

$(y-y_1)=m(x-x_1)$

Where, m is the slope.

$(y-(-4))=-\dfrac{1}{3}(x-6)$

$y+4=-\dfrac{1}{3}x+2$

$y=-\dfrac{1}{3}x+2-4$

$y=-\dfrac{1}{3}x-2$

Therefore, the equation of line q is $y=-\dfrac{1}{3}x-2$ .

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3 years ago

A piece of wood that is 3in a half meter long is being cut into smaller pieces

Elina [12.6K]

Any answer choices? to choose from

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3 years ago

-k^2-(3k-5n) +4n;k=-1 and n=-2

Dafna11 [192]

-k^2 - (3k - 5n) + 4n....when k = -1 and n = -2

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4 years ago

Read 2 more answers

The product of ten and a number

Dvinal [7]

Answer:

10n

Step-by-step explanation:

n represents number, its like using X, since we don't have the information on it, we replace it with a letter.

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3 years ago

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Evan has a storage unit that he keeps all his garden tools in. It measures 4 feet by 312 feet by 2 feet.A prism has a length of

Alexxandr [17]

The maximum amount of supplies that the storage unit can hold is 28 ft³

<h3>How to calculate the volume of a rectangular prism?</h3>

For us to calculate the volume or amount of space in Evan's prism, we will first of all calculate the volume of rectangular prisms. Formula is;

V = Length × width × height.

We are given;

length = 4 feet

width = 3.5 feet

height of the prism = 2 feet.

Thus;

V = 4 * 3.5 * 2

V = 28 ft³

Thus, the maximum amount of supplies that the storage unit can hold is 28 ft³

Read more about Volume of Rectangular Prism at; brainly.com/question/4062480

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2 years ago