Answer:
B) -0.4 seconds
Step-by-step explanation:
Laps: 25
Goal: -10 seconds to all 25 laps combined (10 seconds difference => -10)
divide by total laps
-10 /25 = -0.4s difference each lap
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x-12-(6*x-18)=0
Step-by-step explanation:
Pull out like factors :
-2x + 6 = -2 • (x - 3)
Y = -2/3x + 5....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the slope and change the sign. So our perpendicular line will have a slope of 3/2 (see how I flipped -2/3 making it -3/2....and then changed the sign, making it 3/2)
y = mx + b
slope(m) = 3/2
(8,1)....x = 8 and y = 1
now we sub and find b, the y int
1 = 3/2(8) + b
1 = 12 + b
1 - 12 = b
-11 = b
so ur perpendicular equation is : y = 3/2x - 11 <==
Distance = (rate)(time)
In this problem, note that both girls traveled the same distance.
Karens distance = r * 1.5 hrs we dont know her rate
Nancy distance = 50 * 1 hr we know she started 30 min later
but arrived at the same time
since the distances are equal
r*1.5 = 50 * 1 all you have to do is solve for r
1.5r = 50
r = 50/1.5
r = 33 1/3 miles per hour