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storchak [24]
3 years ago
6

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

Mathematics
1 answer:
yawa3891 [41]3 years ago
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.

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Jeffrey set up chairs for a meeting.
Kazeer [188]

Answer:

9x + 3 = 7x + 19

Step-by-step explanation:

Given that,

Jeffrey set up chairs for a meeting.

He arranged the chairs in 9 equal  rows but had 3 chairs left over.

Let x be the number of chairs. So,

9x+3 .....(1)

Then he arranged the chairs in 7 equal rows  but had 19 chairs left over. So,

7x+19 ......(2)

From equation (1) and (2),

9x+3 = 7x+19

9x-7x = 19-3

2x = 16

x = 8

Hence, the correct option is (b).

3 0
2 years ago
A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. The ball's height above
tekilochka [14]

it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.

Let h(t) represent the height of the ball at time t.

Given that the height is given by:

h(t) = -16t² + 80t + 40

1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:

40 = -16t² + 80t + 40

16t² - 80t = 0

t(t - 5) = 0

t = 0 or t = 5

Hence it takes 5 seconds to reach a height of 40 ft.

2) The maximum height is at h'(t) = 0,

h'(t) = -32t + 80

-32t + 80 = 0

32t = 80

t = 2.5

It takes 2.5 seconds to reach maximum height.

Find out more at: brainly.com/question/11535666

5 0
3 years ago
Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape​
wariber [46]

9514 1404 393

Answer:

 13 : 33

Step-by-step explanation:

  hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33

4 0
2 years ago
Can somelne help me ​
serg [7]

Answer:

2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Alenkasestr [34]

Answer:

A = -10

Step-by-step explanation:

x^2 + 10x + 24 = 0

To find the roots, we need to factor the equation.

What 2 numbers multiply to 24 and add to 10

6*4 = 24

6+4 = 10

(x+6) (x+4)=0

Using the zero product property

x+6 = 0  x+4 = 0

x = -6   x = -4

We want the sum when the roots are added

-6+ -4 = -10

6 0
3 years ago
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