Answer:
equation for the new circle is;
(x - 8)² + y² = 36
Step-by-step explanation:
There are two types of translations and they are translation horizontally and vertically. Combining both of them in the context of this question, to translate a circle 6 units to the right and 4 units up, we take our equation,
(x - 2)² + (y + 4)² = 36 and subtract 6 from the x - term and 4 from the y - term to get the equation of the new circle.
This gives us;
(x - 2 - 6)² + (y + 4 - 4)² = 36
This gives;
(x - 8)² + y² = 36
Minimum is 25% for housing
1248.90 / 0.25 = $4995.60 per month
Answer:
its c im pretty sure lmk if im wrong
Step-by-step explanation:
Answer:
Alex timed 7 by 2 instead of 7 times 7 because 7^2 is an exponent.
Answer:
x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2
Step-by-step explanation:
Solve for x:
y = -x^2 - 4 x + 7
y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:
-x^2 - 4 x + 7 = y
Multiply both sides by -1:
x^2 + 4 x - 7 = -y
Add 7 to both sides:
x^2 + 4 x = 7 - y
Add 4 to both sides:
x^2 + 4 x + 4 = 11 - y
Write the left hand side as a square:
(x + 2)^2 = 11 - y
Take the square root of both sides:
x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)
Subtract 2 from both sides:
x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)
Subtract 2 from both sides:
Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2
