Let d represent the distance of the destination from the starting point.
After 45 min, Henry has already driven d-68 miles. After 71 min., he has already driven d-51.5 miles.
So we have 2 points on a straight line:
(45,d-68) and (71,d-51.5). Let's find the slope of the line thru these 2 points:
d-51.5 - (d-68) 16.5 miles
slope of line = m = ----------------------- = ------------------
71 - 45 26 min
Thus, the slope, m, is m = 0.635 miles/min
The distance to his destination would be d - (0.635 miles/min)(79 min), or
d - 50.135 miles. We don't know how far his destination is from his starting point, so represent that by "d."
After 45 minutes: Henry has d - 68 miles to go;
After 71 minutes, he has d - 51.5 miles to go; and
After 79 minutes, he has d - x miles to go. We need to find x.
Actually, much of this is unnecessary. Assuming that Henry's speed is 0.635 miles/ min, and knowing that there are 8 minutes between 71 and 79 minutes, we can figure that the distance traveled during those 8 minutes is
(0.635 miles/min)(8 min) = 5.08 miles. Subtracting thix from 51.5 miles, we conclude that after 79 minutes, Henry has (51.5-5.08), or 46.42, miles left before he reaches his destination.
(x-6) (x-2) is our factored answer
I dont know the answer but the correct equation would be 3.14×9
Answer:
1) 7m
2) 13
3) 4x^2y
4) 6s^3t^4
Step-by-step explanation:
gcf means the the greatest factor that works for both terms
1) 21m^3 and 28m
let's first find the gcf for the coefficient
21 and 28, the gcf is 7. (hopefully thats easy to explain)
the gcf for the variables is the same mindset as the numbers
m^3 and m, both can be factored by m
so the gcf is 7 * m which is 7m
2)
13x and 26
let's first find the gcf for the coefficient
13 and 26, gcf is 13
there's only one variable, x, so there's not gcf for that
so the gcf is just 13
3)
8x^2y and -12x^3y^2
let's first find the gcf for the coefficient
8 and -12, the gcf is 4 (you can also say -4)
for the variables , same mindset
x^2y and x^3y^2
the gcf for x is x^2, and for y it is just y
so 4 * x^2 * y = 4x^2y
by understanding 3) hopefully you can understand 4)
pls comment for any questions
40m+35=
Step-by-step explanation:
I'm not sure but I think it is this
40m+35=
