Answer:answer choice a : rtation 90 degres around the origon
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
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
To obtain this firm use the method of completing the square
Factor out - 1 from each term
y = - (x² - 9x + 12)
To complete the square
add/subtract (half the coefficient of the x- term )² to x² - 9x
y = - (x² + 2( -
)x +
-
+ 12 )
= - ( (x -
)² -
)
y = - (x -
)² +
← in vertex form
Answer:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
Answer:
1020 = 6*(x+17)
x = 153
Step-by-step explanation:
1020 = 6*(x+17)
1020 - total
6 - number of tickets
x - one ticket price
17 - insurance
1020 = 6x + 102
1020 - 102 = 6x
918 = 6x
x = 918/6
x = 153