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 )
Angle 3 is equal to angle 5 because of vertical angles.
1/3y + 28 = -5
Subtract 28 from both sides:
1/3y = -33
Multiply both sides by 3:
y = -99
The answer is E) NOTA
Answer:2
x
+
3
y
=
6
Step-by-step explanation:
in standard form
Answer:
-7/3 is c
-2.9 is a
-2 5/8 is b
Step-by-step explanation:
-5/2 = -2.5
-7/3 > -2.5, so -7/3 is c
-6/2 = -3
-2.9 is very close to -3, so -2.9 is a
-2 5/8 is just a little less that -2.5, so -2 5/8 is b