The rule (x, y) ⇒ (x-2, y+3) will translate the way you want.
Answer:
center = (-2, 6)
radius = 6
Step-by-step explanation:
<u>Equation of a circle</u>

(where (a, b) is the center and r is the radius)
Therefore, we need to rewrite the given equation into the standard form of an equation of a circle.
Given equation:

Collect like terms and subtract 4 from both sides:

Complete the square for both variables by adding the square of half of the coefficient of
and
to both sides:


Factor both variables:

Therefore:
- center = (-2, 6)
- radius = √36 = 6
#1:
Solve:
-5/12 x 8/13 = -40/156
-40/156 can both be divided by 4: 40 ÷ 4 = 10 & 156 ÷ 4 = 39
Your final answer is: Option 2, -10/39
#2
Solve:
3/8 x (-3/6) you can first simplify 3/6 into 1/2 so-- 3/8 x (-1/2) = -3/16
Your answer is: -3/16
I've solved two of them for you, can you solve the rest on your own? (Reply if you need more answers)
Answer:
a) (3a-5b)(2x-7) or (-3a+5b)(7-2x)
b) (x-y)(x-y+a) or (y-x)(y-x-a)
Step-by-step explanation:
a) 3a(2x-7)+5b(-(-7+2x))
3a(2x-7)-5b(2x-7)
(3a-5b)(2x-7)
3a(-(-2x+7))+5b(7-2x)
-3a(7-2x)+5b(7-2x)
(-3a+5b)(7-2x)
b)(x-y)^2-a(-(-y+x))
(x-y)^2+a(x-y)
(x-y)(x-y+a)
(-1(-x+y))^2-a(y-x)
(1(y-x)^2-a(y-x)
(y-x)(y-x-a)