Answer: (2, -10)
Down and left are negative right and up are positive.
Answer: the number is 20, as the denominator 9 multiplied by 4 is 36. simply multiply the numerator by 4.
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.
Answer:
Functions: y = -x + 11, y = 2x^2 - 6x + 4, y = 7
Not Functions: x = 3, x^2 + y^2 = 81, y^2 = -5x - 12
