Answer:
The center is -1,5 and the radius is 2
Step-by-step explanation:
Subtract 22 from both sides of the equation. x 2 + y 2 + 2 x − 10 y = − 22 Complete the square for x 2 + 2 x . ( x + 1 ) 2 − 1 Substitute ( x + 1 ) 2 − 1 for x 2 + 2 x in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 − 1 + y 2 − 10 y = − 22 Move − 1 to the right side of the equation by adding 1 to both sides. ( x + 1 ) 2 + y 2 − 10 y = − 22 + 1 Complete the square for y 2 − 10 y . ( y − 5 ) 2 − 25 Substitute ( y − 5 ) 2 − 25 for y 2 − 10 y in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 + ( y − 5 ) 2 − 25 = − 22 + 1 Move − 25 to the right side of the equation by adding 25 to both sides. ( x + 1 ) 2 + ( y − 5 ) 2 = − 22 + 1 + 25 Simplify − 22 + 1 + 25 . ( x + 1 ) 2 + ( y − 5 ) 2 = 4 This is the form of a circle. Use this form to determine the center and radius of the circle. ( x − h ) 2 + ( y − k ) 2 = r 2 Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin. r = 2 h = − 1 k = 5 The center of the circle is found at ( h , k ) . Center: ( − 1 , 5 ) These values represent the important values for graphing and analyzing a circle.
Answer:
True
Step-by-step explanation:
- 4 ÷ 7 = 0.5714
- 18 ÷ 31.5 = 0.5714
- Because they are the same result, the two fractions are equal. Therefore, the equation is true.
I hope this helps!
Answer:
<h2>see the answers ⤵️</h2>
Step-by-step explanation:
<h3>to understand the solving steps you need to know about</h3>
<h3>adding or subtracting with redical experience is nothing but algebraic addition or subtraction</h3><h3>let's solve:</h3>
![a)7 \sqrt{3} - 2 \sqrt{3} + \sqrt{3} - 3\sqrt{3} \\ 8 \sqrt{3} - 5 \sqrt{3} \\ 3 \sqrt{3}](https://tex.z-dn.net/?f=a%297%20%5Csqrt%7B3%7D%20%20-%202%20%5Csqrt%7B3%7D%20%20%2B%20%20%5Csqrt%7B3%7D%20%20-%203%5Csqrt%7B3%7D%20%20%5C%5C%208%20%5Csqrt%7B3%7D%20%20-%205%20%5Csqrt%7B3%7D%20%20%5C%5C%203%20%5Csqrt%7B3%7D%20)
![b)5 \sqrt{7} + 4 \sqrt{7} - 8 \sqrt{7} \\ 9 \sqrt{7} - 8 \sqrt{7} \\ \sqrt{7}](https://tex.z-dn.net/?f=b%295%20%5Csqrt%7B7%7D%20%20%20%2B%204%20%5Csqrt%7B7%7D%20%20%20-%208%20%20%5Csqrt%7B7%7D%20%20%5C%5C%209%20%5Csqrt%7B7%7D%20%20-%208%20%5Csqrt%7B7%7D%20%20%5C%5C%20%20%5Csqrt%7B7%7D%20)
I want to say the slope of AC will be 0
Answer:
32 20 17 -57 13
-24 15 -31 31 -28
27 10 -7 18 22
Step-by-step explanation: