Answer:
(x - 4)² + (y + 6)² = 5²
Step-by-step explanation:
rearrange the general equation as follows
collect the terms in x and y together and place the constant on the right side
x² - 8x + y² + 12y = - 27
add (half the coefficient of the x/y term)² to both sides
x² + 2(- 4)x + y² + 2(6)y = - 27
(x - 4)² + 16 + (y + 6)² + 36 = - 27 + 16 + 36
(x - 4)² + (y + 6)² = 25
(x - 4)² + (y + 6)² = 5² ← in standard form
77% of the guests attend the wedding because in order to find the percentage, divide the number of guests that attended by the number of total guests and then move the decimal point two places to the right to get the percentage.
Answer:
B: (5, 12)
Step-by-step explanation:
Find the solution of the following system of linear equations:
3x- y=3
y=2x +2
Note that the 2nd equation has already been solved for y. Thus, subbing 2x + 2 for y in the 1st equation is the way to go:
3x - (2x + 2) = 3.
Simplifying, 3x - 2x - 2 = 3, and so x = 3 + 2 = 5.
Subbing 5 for x in the 2nd equation yields y = 2(5) + 2, or y = 12.
The solution is B: (5, 12)
The angles of a triangle add up to 180. So a+b+c=180.
2x-6+x+4+2x-3=180
5x-5=180
5x=185
x=37
If f(x)=2x+3 and g(x)=x^2 then
f(g(x))=2x^2+3 then:
f(g(-3))=2(-3)^2+3
f(g(-3))=2*9+3
f(g(-3))=18+3
f(g(-3))=21
