The sum of the angles of a triangle is 180°.
The angles you know are 28° and 36°, so you can do this to find ∠B:
∠A + ∠B + ∠C = 180°
or 28° + ∠B + 36° = 180° Add 28 and 36
64° + ∠B = 180° Subtract 64 on both sides
∠B = 116
A quadratic with roots at 8 and 5 is f(x) = x^2 +12x + 20
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -2 ----> add 2 to both sides
x + 2 = 0
We can do the same for the other zero.
x = -10 ----> add 10 to both sides
x + 10 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 2)(x + 10)
f(x) = x^2 + 10x + 2x + 20
f(x) = x^2 + 12x + 20
Answer:
117
Step-by-step explanain:
I am doing MOEMS and this was one of the questions. When we went over the answers, the correct one was 117. :)
K would be the the y-coordinate of the vertex. It also determines the translation. If k is greater or less than zero, the function will translate up or down (up if K is positive and down if K is negative).