9/2 = 81/a....9 kids meals to 2 adult meals = 81 kids meals to a adult meals
cross multiply
9a = 2(81)
9a = 162
a = 162/9
a = 18...so there were 18 adult meals
ratio is : 81/18
Answer:
2x^3-11x^2+16x-3
Step-by-step explanation:
Multiply x to all the other factors in the second parenthesis
Multiply -3 to all the other factors in the second parenthesis
y-intercept: Let x = 0 and solve for y:
(x-1)^2 + (y-2)^2 = 10 => (-1)^2 + y^2 - 4y + 4) = 10
=> 1 + y^2 - 4y + 4 = 10, or y^2 - 4y -5 = 0
The solutions of this quadratic are y = 5 and y = -1.
Thus, the y-intercepts are (0, 5) and (0, -1).
Now find the x-intercepts: Let y = 0 and solve the resulting equation for x:
(x-1)^2 = 10 - (-2)^2, or (x-1)^2 = 10 - 4 = 6.
Taking the sqrt of both sides, x - 1 = plus or minus sqrt(6), or:
x = 1 +√6 and x = 1 - √6, so that the x-intercepts
are (1+√6, 0) and (1-√6, 0).
Answer:
Step-by-step explanation:
The sum of interior angles of a triangle = 180°
Therefore, ∠ABC + ∠BAC + ∠BCA = 180°
⇒ 42 + 64 + ∠BCA = 180°
⇒ ∠BCA = 180 - 42 - 64
