Answer:
D
Step-by-step explanation:
To find the radius of the circle with equation x2 + y2 – 14x + 10y = 250, convert the equation into vertex-form (x - h)² + (y-k)² = r². Convert by completing the square for x² - 14x and y² + 10y.
Complete the square by dividing each term -14x and 10y in two. Then square each.
-14/2 = -7 and -7² = 49
10/2 = 5 and 5² = 25
The equation becomes x² - 14x + 49 + y² + 10y + 25 = 250 + 49 + 25.
We simplify the equation into (x-7)² + (y + 5)² = 324.
324 is the value of radius squared. Take the square root to find the radius.
√324 = 18
The radius is 18 units.
Answer:
x = 4 and y = 0
Step-by-step explanation:
Given expression:
-2x + 8y = -8
5x - 8y = 20
Now, to solve this problem by elimination, follow this procedure:
-2x + 8y = -8 --- i
5x - 8y = 20 --- ii
Coefficient of y in both expression have similar values;
Now, add equation i and ii;
(-2x + 5x) + (8y -8y ) = -8 + 20
3x = 12
Divide both sides by 3;
x =
= 4
Now, to find y; put x = 4 into equation i,
-2(4) + 8y = -8
-8 + 8y = -8
Add +8 to both sides of the expression;
-8 + 8 + 8y = -8 + 8
8y = 0
y = 0
Answer:J
Jack
Step-by-step explanation:
Jack: 275/5.5 = 50mph
Gavin: 288/6 = 48mph
Answer:
2%
Step-by-step explanation:
It increases one, so it increases 1/50, which is 0.02
2%