All categories

2 years ago

What is the general form of the equation of a circle with its center at (-2, 1) and passing through (-4, 1)?

1 answer:

5 0

The equation of circle is:
(x-a)^2+(y-b)^2=r^2 where C(a, b) is the center.
In order to find r you have to find the distance between C(-2, 1) and let's say A(-4, 1)

The formula for distance is:
$\sqrt{ ( y_{A}-y_{C )^{2} + (x_{A}- x_{C )^{2} }$
r = 2

The equation of circle is
(x+2)^2+(y-1)^2=4

I hope that this is the answer that you were looking for and it has helped you.

You might be interested in

Hello can someone help me simplify 4) and 5)? Thank you and please include steps :)

Leni [432]

Alrighty

remember some rules
$(ab)^c=(a^c)(b^c)$
and
$x^{-m}=\frac{1}{x^m}$
and
$x^0=1$ for all real values of x
and
$(a^b)^c=a^{bc}$
and
$(\frac{a}{b})^c=\frac{a^c}{b^c}$
and
(a/b)/(c/d)=(ad)/(bc)
and
$(a^b)(a^c)=a^{b+c}$
and
$\frac{a^m}{a^n}=a^{m-n}$
and don't forget pemdas
example: $-x^m=-1(x^m)$ but $(-x)^m=(-1)^m(x^m)$

so

4.
$(\frac{c^{-2}}{2})^{-2}=$

$\frac{(c^{-2})^{-2}}{2^{-2}}=$

$\frac{c^4}{\frac{1}{2^2}}=$

$\frac{c^4}{\frac{1}{4}}=$

$4c^4$

5.

$\frac{(-a)^4bc^5}{-a^2b^{-3}c^0}=$

$\frac{(-1)^4(a)^4bc^5}{-1(a^2)(\frac{1}{b^3}(1)}=$

$\frac{(1)a^4bc^5}{\frac{(-1)(a^2)}{b^3}}=$

$\frac{(a^4bc^5)b^3}{(-1)(a^2)}=$

$\frac{-a^4b^4c^5}{a^2}=$

$-a^2b^4c^5$

3 0

2 years ago

Which graph represents the function below?

irinina [24]

Answer:

poop

Step-by-step explanation:

poop

4 0

3 years ago

What is 57/6 simplified?

ludmilkaskok [199]

Answer:
19/2
Step-by-step explanation :
U divide the numerator and the denominator by the same number which is 3
57 divided by 3 = 19
6 divid by 3 = 2
So the answer is 19/2

3 0

2 years ago

Read 2 more answers

Can someone pls pls help me ?

Yakvenalex [24]

9514 1404 393

Answer:

a = 9 meters

Step-by-step explanation:

The perimeter is the sum of the side lengths:

28 m = a + 2m + a + 8m

18 m = 2a . . . . . . . . . . . . . . . . subtract 10m, collect terms

9 m = a . . . . . . . . . . . . . . . divide by 2

The value of a is 9 meters.

8 0

2 years ago

Fifteen 7th graders were asked how many hours they spend doing homework each week and how many hours they spend watching televis

timama [110]

Answer:

18 > 14, true

12 - 16 = -4, true

Homework = (4 + 6*2+10*3+12*2+14*4+16*2+18)/15 = 11.73
Television = (0 + 10*3+12*1+16*3+18*4+20*3)/15 = 14.8

<u>The difference:</u>

14.8 - 11.73 > 1, NOT true

True

3 0

2 years ago