Answer:
44 feet
If it takes the horse 44 feet per second, and it takes the cheetah 88 feet, the difference is 44.
So, the horse must be 44 feet ahead to be safe. Hope it helps!
I think it may be a slope intercept form
Complete question :
Kane is training for a marathon. He starts by running 3 miles during every training session each week plans to increase the distance of his runs by 1/4 mile. Let w be the number of weeks. Write and expression to show the diatance kane runs in a training session after w weeks
Answer:
(11 + w ) / 4
Step-by-step explanation:
Given the following :
Initial miles kane plans to cover per session = 3 miles
Increase in miles covered per session = 1/4 mile per week
Hence, distance covered after w weeks :
Using the sum of an arithmetic progression formula:
Tn = a + (n - 1) d
a = first term = Initial / starting distance = 3 miles
n = nth term = number of weeks = w
d = common difference = constant increase in distance per week = 1/4
Hence, after w weeks :
= 3 + (w - 1) × 1/4
= 3 + (w/4 - 1/4)
= 3 + (w - 1) / 4
Taking L. C. M
(12 + w - 1) / 4
(11 + w ) / 4
Answer:
m = -6/7
b = -2
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1) = (-2 - 4)/(0 - (-7)) = -6/7
y = mx + b
m = -6/7
y = -6/7 x + b
Use point (-7, 4).
4 = (-6/7)(-7) + b
4 = 6 + b
b = -2
y = -6/7 x - 2
m = -6/7
b = -2