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Grace [21]
3 years ago
15

Find the center and the radius of the circle with the equation:

Mathematics
1 answer:
nekit [7.7K]3 years ago
5 0

Answer:

(x+1)^2 + (y-1)^2 = 16

And the general formula for a circle is given by this expression:

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

With the center (h,k) and the radius r. If we compare this general expression with the formula that we obtain in (1) we see that :

h = -1, k =1 , r =4

So then the best solution for this cae would be:

b. center: (-1,1)

radius =4

Step-by-step explanation:

For this case we have the following equation given:

x^2 +2x + y^2 -2y -14=0

And we can complete the squares for this case like this:

x^2 +2x +(2/2)^2 +y^2 -2y +(2/2)^2 =14 +1+1

(x^2 +2x +1) +(y^2 -2y +1) =16

Now we can rewrite the last expression like this:

(x+1)^2 + (y-1)^2 = 16

And the general formula for a circle is given by this expression:

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

With the center (h,k) and the radius r. If we compare this general expression with the formula that we obtain in (1) we see that :

h = -1, k =1 , r =4

So then the best solution for this cae would be:

b. center: (-1,1)

radius =4

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Help plz! (a + b - c)(a + b + c) multiplying polynomials
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a^2 + 2ab + b^2 - c^2

Step-by-step explanation:

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Draw diagram to rerpresent the mixed number 3 2/3. How can u write this as a single fraction greater than one
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3 years ago
Read 2 more answers
Can you please help me?​
Musya8 [376]

Answer:

Option (a)

Step-by-step explanation:

Slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

Slope (m) = \frac{y_2-y_1}{x_2-x_1}

Slope of the line passing through (-4, 3) and (6, 3) will be,

m = \frac{3-3}{6+4}

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In other words, slope of any line parallel to x-axis is zero.

Therefore, Option (a) is the answer.

6 0
3 years ago
What is the volume of a cylinder in a cubic cm,with a height of 8cm and a base diameter of 14 cm?round to the nearest tenth plac
bija089 [108]

Answer:

volume of cylinder = 1232cm³

Step-by-step explanation:

from the question

volume of cylinder =?

height of the cylinder = 8cm

Base diameter of the cylinder = 14cm

to solve this problem we need to know the formula to calculate the volume of a cylinder

volume of cylinder = πr²h

                   or

volume of cylinder = π(d/2)²h........................... if we are given diameter and not radius.

D= 14cm

d = 14/2

d = 7cm

now,

volume of cylinder = π × (7)² × 8

volume of cylinder = 22/7 ×49 ×8

volume of cylinder = 22 × 7 × 8

volume of cylinder = 1232cm³

therefor the volume of the cylinder is equals to 1232cm³

4 0
3 years ago
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