Answer:
4 mi/h
Step-by-step explanation:
The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.
Their speed is (8 mi)/(2 h) = 4 mi/h.
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<em>Additional comment</em>
Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...
c² = a² +b² . . . square of hypotenuse is sum of squares of legs
c² = 1² +1² . . . . both legs are 1 in our example triangle
c² = 2
c = √2
That is, the hypotenuse is √2 times the leg length.
-6/3, or simplified would be -2
Answer:
5 miles
Step-by-step explanation:
since she hopped in yards you must mulitiply both numbers 3520 and 5280 by 3 since there are three feet in a yard. then add together then divide the sum by 5280 since a mile is 5280 feet.
3520 X 3 = 10560
5280 X 3 = 15840
10560 + 15840 = 26400
26400/ 5280 = 5
Answer:
y = 5/3x + 48
Step-by-step explanation:
y2 - y1 / x2 - x1
28 - 8 / -12 - (-24)
20 / 12
5/3
y = 5/3x + b
8 = 5/3(-24) + b
8 = -40 + b
48 = b
Answer: A line with a slope of 2
Step-by-step explanation: the slope of the line is -1/2 so the negative reciprcal of the slope is 2 (It would be perpendicular to it)
i used m=y2-y2/x2-x1 to figure ou the slope and -(x/y) as the negative reciprcal for the perpendicular line.
