Answer:
Step-by-step explanation:
(2, -1) & (-1, -2)
(-2+1)/(-1-2)= -1/-3= 1/3 is the slope of the line
Answer:
Step-by-step explanation:-7/2
is the answer
Let the train's original speed be s. Recall that distance = (speed)(time). Here, 150 miles = s(time), or 150 = s*t. If its original speed is increased by 5 mph, then the time required tomake the trip is 1 hour less than before;
distance = speed times time, so
150 mi = (s+5)(t-1). Let's eliminate t and solve for s:
Since 150 = s*t, t = 150/s. Subbing 150/s for t in the 2nd equation, we get:
150 s
150 mi = (s+5)(150/s - 1), or 150 = (s+5)(------- - ---- )
s s
Mult. both sides by s to elim. the fraction(s):
150s = (s+5)(150 - s)
Then 150s = 150s - s^2 + 750 - 5s, or
0 = -s^2 - 5s + 750
or 0 = s^2 + 5s - 750
Thus, 0 = (s-25)(s+30), and the roots are s=25 and-30. Only a positive original speed makes sense, so the answer is s = 25 mph.
9514 1404 393
Answer:
a) π/6
b) 7π/4
c) 108°
d) 405°
Step-by-step explanation:
Multiply by π/180° or 180°/π, as appropriate.
a) 30° = 30π/180 = π/6 radians
b) 315° = 315π/180 = 7π/4 radians
c) 3π/5 × 180°/π = 108°
d) 9π/4 × 180°/π = 405°
W=6 hopefully I helped!:)