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pochemuha
2 years ago
11

Find the center and radius of the circle whose equation is x 2 + y 2 + 10x − 1

Mathematics
1 answer:
Margaret [11]2 years ago
3 0

we conclude that the center of the circle is the point (-5, 0).

<h3>How to find the center of the circle equation?</h3>

The equation of a circle with a center (a, b) and a radius R is given by:

(x - a)^2 + (y - b)^2 = R^2

Here we are given the equation:

x^2 + y^2 + 10x - 1 = 0

Completing squares, we get:

x^2 + 10x + y^2 = 1

Now we can add and subtract 25 to get:

x^2 + 10x + 25 - 25 + y^2 = 1\\\\(x + 5)^2 -25 + y^2 = 1\\\\(x + 5)^2 + (y - 0)^2 = 26

Comparing that with the general circle equation, we conclude that the center of the circle is the point (-5, 0).

If you want to learn more about circles:

brainly.com/question/1559324

#SPJ1

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A triangle has angles measuring 43° and 62°. What is the measure of the triangle's third angle?
jarptica [38.1K]

Answer:

75 degrees

Step-by-step explanation:

I know the measure of the triangle's third angle is 75 degrees because all the angles of a triangle add up to 180 degrees. So, I did 180-62-43 and got 75. So, in order for this triangle to be true, the third triangle would have to be 75 degrees.

To check: 43 degrees+ 62 degrees+ 75 degrees = 180 degrees.

4 0
2 years ago
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8. Identify the x and y intercept of the equation:<br> 12x - 8y = 48
GalinKa [24]

Answer:

X- intercept(S) : (4,0)

Y- Intercept(S) : (0, -6)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for Y.

Hopes this helps!

8 0
2 years ago
Decide what information is needed to answer the following
oee [108]

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sgst

Step-by-step explanation:

3 0
3 years ago
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Jillian is trying to save water, so she reduces the size of her square grass lawn by 8 feet on each side. the area of the smalle
tatiyna
(x - 8)^2 = 144
take the sq rt of both sides
x - 8 = 12
x = 12 + 8
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20 feet by 20 feet
7 0
3 years ago
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Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)n − 1.
Verizon [17]

Answer:

<h2>-223,948</h2>

Step-by-step explanation:

The formula of a sum of terms of a gometric sequence:

S_n=a_1\cdot\dfrac{1-r^n}{1-r}

a₁ - first term

r - common ratio

We have

a_n=-4(6)^{n-1}

Calculate a₁. Put n = 1:

a_1=-4(6)^{1-1}=-4(6)^0=-4(1)=-4

Calculate the common ratio:

r=\dfrac{a_{n+1}}{a_n}\\\\a_{n+1}=-4(6)^{n+1-1}=-4(6)^n\\\\r=\dfrac{-4(6)^n}{-4(6)^{n-1}}=6^n:6^{n-1}\\\\\text{use}\ a^n:a^m=a^{n-m}\\\\r=6^{n-(n-1)}=6^{n-n+1}=6^1=6

\text{Substitute}\ a_1=-4,\ n=7,\ r=6:\\\\S_7=-4\cdot\dfrac{1-6^7}{1-6}=-4\cdot\dfrac{1-279936}{-5}=-4\cdot\dfrac{-279935}{-5}=(-4)(55987)\\\\S_7=-223948

7 0
3 years ago
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