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.
The formula for solving perimeter of a parallelogram is P=2(a+b) where "a" is for the altitude and "b" for the base. From the give figure, we can determine both a and b values as enumerated below,
a=5
b=4
We can solve for P as shown below,
P=2(5+4)
P=18 unit.
Therefore, the perimeter is equal to 18.
I hope this helps, have a great day, and God bless.
Brainliest is always appreciated :)
Answer:
For the circle with the diameter of 7cm, the <u>area is about 38.48cm</u> and the <u>circumference is about 22cm</u>
For the circle with the diameter of 5cm, the <u>area is about 19.63cm</u> and the <u>circumference is about 15.7cm</u>
Step-by-step explanation:
The formula to find the area of a circle is pi*r^2
The formula to find the circumference is 2*pi*r
r = radius, which can be determined simply by taking the diameter, and dividing it by 2.
Answer:
$1977.95
Step-by-step explanation:
$30000*.05*5=$7500 (simple interest)
$30000*1.04^7=$39477.95-$30000=$9477.95 (compound interest)
$9477.95-$7500.00=$1977.95
What are numbers used though? I can’t answer if you don’t say the full problem because there aren’t any units or numbers.