Answer:
15
Step-by-step explanation:
The product of distances from P to the two intersection points along the same secant (tangent) is the same for each. For this purpose, the tangent can be considered to intersect the circle twice at the same point. That is ...
PN·PM = PQ²
x(2x +7) = (x +6)²
2x² +7x = x² +12x +36
x² -5x -36 = 0
(x -9)(x +4) = 0 . . . . . . . true for x=9, x=-4
The relevant value of x is 9.
PQ = x +6 = 9 +6
PQ = 15
Use a coordinate plane chart to help you
Answer:
7
Step-by-step explanation:
To determine how much sand she needs, we need the area of the garage
The area can be found by multiplying the width and the length
A = 36 x 20
A = 1080 feet
Now we multiply the area by the volume (2 inches of sand)
1080 * 2 = 2160
Siobhan needs 2160 feet of sand
Answer:
w is the correct answer
Step-by-step explanation:

If we choose the point (3, 0), we obtain
0 <= -1, which is not true. So we shade the region to the left of x = 4 (which is a dashed vertical line) and below
y = (1/3)x - 2 (which is a solid line).