Step-by-step explanation:
d = the distance in one direction.
the time t1 it took group 1 was
t1 = d/6 + d/4
and t2 for group 2 moving with speed2 all the way
t2 = (d+d)/speed2
we know
2d = 24 miles
d = 12 miles
t1 = t2
so,
12/6 + 12/4 = 24/speed2
2 + 3 = 24/speed2
5 = 24/ speed2
5×speed2 = 24
speed2 = 24/5 = 4.8 mph
the second group moved with 4.8 mph.
Answer:
√13
Step-by-step explanation:
There's a formula called the distance formula that is based on the Pythagorean theorem. It is used to find the distance between points in 2 (or more) dimensions.
The distance (d) between points (x1, y1) and (x2, y2) is ...
d = √((x2-x1)^2 +(y2-y1)^2)
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To find the distance you're looking for, fill in the values in the formula and do the arithmetic.
d = √((6-3)^2 +(5-7)^2) = √(3^2 +(-2)^2)
d = √(9 +4)
d = √13
The distance between the given points is √13.
Distribute the negative through the second set of parenthesis.
-2x + 10 + 6x - 5y - 12 + x + 8y - 16
Gather like terms
-2x + 6x + x -5y + 8y + 10 - 12 - 16
5x + 3y -18
the idea being, we multiply the value by some power of 10 just to move the repeating digits to the left of the decimal point. We have 3 digits, we'll use 1000, anyhow, without further adieu,
