Answer:
A, y = 3x/2 - 12
Step-by-step explanation:
Use the equation y = mx + b.
m = 3/2
b = -12
y = 3x/2 - 12
Answer:
x = 12
m(QS) = 52°
m(PD) = 152°
Step-by-step explanation:
Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)
Thus:
m<R = ½[m(PD) - m(QS)]
50° = ½[(12x + 8) - (4x + 4)] => substitution
Solve for x
Multiply both sides by 2
2*50 = (12x + 8) - (4x + 4)
100 = (12x + 8) - (4x + 4)
100 = 12x + 8 - 4x - 4 (distributive property)
Add like terms
100 = 8x + 4
100 - 4 = 8x
96 = 8x
96/8 = x
12 = x
x = 12
✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°
✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°
Answer:
No
Step-by-step explanation:
Given that:
Total number of cups of trail mix available for camping trip = 
Amount of one serving contains =
cups
Number of people at the trip = 12
To find:
Whether each person will be able to get the servings?
Solution:
Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.
First of all, let us convert the mixed fraction into fractional number.

Therefore, total number of servings available as per the given quantities:

So, With this type of servings Zoey will be able to serve only 8 people.
Therefore, there is not enough servings.
The correct answer is D X=-3, since the directrix is always the opposite distance from the vertex as the focus is.