The marked angles are opposite angles, and as such they have the same measure. So, we have
Subtract 2a and 11 from both sides to get
Divide both sides by 4 to get
Now that we know the value of a, we can compute the measure of the angles. We can also verify that the solution we found is correct by verifying that both expressions actually give the same result:
Answer:
our vertex for f(x) = 3x² + 18x + 32 = (-3, 5 )
Step-by-step explanation:
let me write the standard form of a quadratic equation
Now let me rewrite the original equation
Now we use this simple formula to find the vertex (h, k)
substitute -3 for x back into our original equation to solve for y our k value of our vertex
our vertex for f(x) = 3x² + 18x + 32 = (-3, 5 )