Answer:
d. 22
Step-by-step explanation:
(PQ + QR) × QR = (TS + SR) × SR => two secants intersecting theorem
PQ = ?
QR = 2
TS = 8
SR = 4
Plug in the values
(PQ + 2) × 2 = (8 + 4) × 4
2PQ + 4 = 12 × 4
2PQ + 4 = 48
2PQ + 4 - 4 = 48 - 4
2PQ = 44
2PQ/2 = 44/2
PQ = 22
sprints: 1/8 of 74 1/2 = 74.5 divided by 8=9.3125
Hunts: 3/4 of 57 3/4= 57.75 divided by .75=77
9.3125 + 77=86.3125 86.3125 divided by 2= 43.156 mph average speed
The mess up occurs in one of the first things she says. She first claims that 7^2 +25^2 = 24^2
Wait a minute... slow your roll there.
25 is the hypotenuse, or the longest side of the triangle AND opposite the right angle (but we aren't supposed to know that yet).
The Pythagorean Theorem holds that a^2 + b^2 = c^2, where a & b are the legs of the triangle & c is the hypotenuse. So, she got the formatting correctly, but she switched 24 & 25.
Hope this helps!
Answer:
y=-1/3x-1
Step-by-step explanation:
Perpendicular lines have slope that are opposite sign and reciprocals
3x-y=12 has a slope of 3, therefore perpendicular line must have slope of -1/3
2=-9(-1/3)+b
2=3+b
b=-1
This function would have a maximum.
Since we are subtracting by a -4 for each increase in x, we know that the numbers will continue to go down. Given this fact, we know the number will never be higher than when we started, but the number could go infinitely low. As a result we have a maximum and no minimum.