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3 years ago

I had this function question that I just don't understand. Can someone explain it please

Mathematics

1 answer:

Zarrin [17]3 years ago

3 0

Answer:

oopsie delete this

Step-by-step explanation:

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25 POINTS AVAILABLE

myrzilka [38]

Answer:

$\large\boxed{1.\ (-3, 0),\ r = 3}\\\boxed{2.\ (x+4)^2+(y-3)^2=36}\\\boxed{3.\ (x-2)^2+(y-1)^2=(\sqrt{34})^2}$

Step-by-step explanation:

The equation of a circle in standard form:

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

(h, k) - center

r - radius

1. We have the equation:

$(x+3)^2+y^2=9\\\\(x-(-3))^2+(y-0)^2=3^2$

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2. We have the center (-4, 3) and the radius r = 6. Substitute:

$(x-(-4))^2+(y-3)^2=6^2\\\\(x+4)^2+(y-3)^2=36$

3. We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

7 0

3 years ago

A charity has received donations totaling $2370. However, this is only three-fifths of its goal.

Alinara [238K]

3,950 is your answer. See, you divide 2,370 by 3 to get 1/5 of their goal and then multiply that by 5.

8 0

3 years ago

Read 2 more answers

Student loan debt in the United States grows approximately 9.8×10^3 dollars every hour. At this rate, how much debt occurs each

Marat540 [252]

1hr=0.0098 dollars
24hr=?
24 by 0.0098 =0.2352 dollars
:0.2352 by 7 days
=1.6464 dollars
:=1646.4 by 10 raised to the power - 3

3 0

3 years ago

What is the solution to –2|2.2x – 3.3| = –6.6?

julsineya [31]

The solution would be x = 0, x = 3

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3 years ago

Pls help! Last one of night!

bixtya [17]

I think it is 4 dollars per bag of popcorn

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3 years ago