Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Answer:
104.5 meters square
Step-by-step explanation:
The area of a trapezoid is found using the formula A = 1/2 (a + b)h. Substitute a = 8, b = 11 and h = 12.
The area is A = 1/2(8+11)*12.
A = 1/2 (19)*12 = 104.5
Answer: No Solution
Step-by-step explanation:
y=2x+1 and 2x-y=3
Substitute y=2x+1 into 2x-y=3
So you will have: 2x-2x+1=3
Then,
2x-2x=0
0+1=3
1=3
1 doesn't equal 3 so there is no solution.
Answer:
Step-by-step explanation:
is the smallest minor arc.
Step-by-step explanation:
only 8 points? thats so dumb