A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
Answer:
4
Step-by-step explanation:
3(x+6) = 30
(x+6) = 30/3
x = 10 - 6
x = 4
Answer:
Step-by-step explanation:
Answer:
Angle y measures 130 degrees
Step-by-step explanation:
Notice that the angles marked as "2x+18", and "4x-14" must be equal angles since they are generated on the same sector (top right) of the parallel lines by the transverse line "b".
Then by finding the value of "x" we can deduce the value of the actual angle these two angles measure:
Now, we can find the actual value of these two angles, we use for example the first expression:
Top-right angle =
Now, if these two angles measure , then angle "y" (which is the supplementary angle (angle which added renders ) for them, must equal
Answer: one and one third 1 1/3
Step-by-step explanation:
2/3 divided 1/2
2/3•2/1
4/3 or 1 1/3