Answer:
vertex = (- 3, 1 )
Step-by-step explanation:
given a quadratic in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
then the x- coordinate of the vertex is
x = -
f(x) = x² + 6x + 10 ← is in standard form
with a = 1, b = 6 , then
x = - = - 3
substitute x = - 3 into f(x) for corresponding y- coordinate
f(- 3) = (- 3)² + 6(- 3) + 10 = 9 - 18 + 10 = 1
vertex = (- 3, 1 )
Answer:
x = 29, C
Explanation: We are given that total angle is 90°, or a right angle. This means that the two complementary angles must equal 90° together.
Create the equation:
2x - 4 + x + 7 = 90
Solve algebraically:
3x + 3 = 90
3x + 3 - 3 = 90 - 3
3x = 87
3x / 3 = 87 / 3
x = 29 or C
Answer:
B. 49
Step-by-step explanation:
For the rectangle:
10 • 4 = 40
For the triangle:
3 • 6 = 18
18/2 = 9
Add them together:
40 + 9 = 49
And there you have it!
Hope this helps, good luck :)