The equation formula of the circle is (x-h)^2 + (y-k)^2 = r^2
where (h,k) the point of the center of the circle
and (r) is the radius of the circle
so if the center of the circle = (-2,-4)
by subs. in the formula we get (x-(-2))^2 + (y-(-4))^2 = r^2
then the equation will be (x+2)^2 + (y+4)^2 = r^2
now we want to define the radius of the circle r
since point (3,8) lay on the circle so we can
then subs. in the equation to get the radius
(x+2)^2 +(y+4)^2 = r^2
(3+2)^2 +(8+4)^2 = r^2
25 + 144 = r^2
r^2 = 169
r= 13
the radius of the circle is 13
so by subs in the equation we get
(x+2)^2 + (y+4)^2 = 169
so it is the first answer in the choices
When two rays show a common endpoint they form an angel : TRUE
Answer:
2x^2 + 4x+2
Step-by-step explanation:
f(x) = 2x^2 + x and g(x) = 3x + 2
f(x) + g(x) = 2x^2 + x + 3x + 2
Combine like terms
= 2x^2 + 4x+2
Answer:
She hung 45reds, 30greens and 60whites
Step-by-step explanation:
If Sonia is hanging up decorations in the ratio of 3red: 2green: 4white, the total amount of different she hung is 3+2+4 = 9different colours.
Of she hung 135decorations in total, the number of red = 3/9 × 135 = 45reds
Number of green = 2/9 × 135 = 30greens
Numbe of white = 4/9 × 135= 60whites
She hung 45reds, 30greens and 60whites
