X^2 + y^2 - 2x + 8y - 47 = 0
x^2 + y^2 - 2x + 8y = 47
(x^2 - 2x) + (y^2 + 8y) = 47
(x^2 - 2(1)x) + (y^2 + 2(4)y) = 47
(x^2 - 2(1)x + 1^2) + (y^2 + 2(4)y + 4^2) = 47 + 1^2 + 4^2
(x - 1)^2 + (y + 4)^2 = 64 = 8^2
r=8
Yes the fractions are equivalent. 5/5 is another equivalent fraction
10 lbs of apples will cost $55
How? Well...
First, you would need to find the unit rate, which is 5.5
You find the unit rate by simply dividing 33 by 6. Next, after you found your unit rate, you're going to multiply that by 10. We now know that 10 x 5.5= 55. Therefore, you will need $55 for 10 lbs of apples.
x^2 – 6x = 20
b=-6
to complete the square, add (b/2)^2 to each side
(b/2)^2 = (-6/2)^2=(-3)^2 =9
x^2 – 6x +9 = 20+9
(x+b/2) ^2 =29
(x-3)^2=29
take the square root of each side
x-3 = +- sqrt (29)
add 3 to each side
x = 3+- sqrt (29)
x = 3 + sqrt(29), x- sqrt(29)
Answer: -2.39, 8.39
Answer:
Step-by-step explanation:
Given
Required
Determine the coordinates of B'
Since A' is the image of A; we need to first calculate the scale factor using
Make Scale Factor the subject
Substitute values for A' and A
Factorize the numerator
The coordinates of B' is then calculated as follows:
Substitute values for B and Scale Factor
