Answer:
(a) Yes, multiplying every length of a Pythagorean triple by the same whole number results in a Pythagorean triple.
Step-by-step explanation:
In general, scaling the numbers involved in a relationship does not change their relationship.
If we have ...
a² +b² = c²
and we scale each number by a factor of k, then we get ...
(ka)² +(kb)² = (kc)²
k²a² +k²b² = k²c²
k²(a² +b²) = k²c² . . . . same result as multiplying the original relation by k²
Leon is correct that multiplying a Pythagorean triple by a constant gives another Pythagorean triple.
ON/MN=NP/NQ
ON/12=15/20
ON=(12*15)/20
ON=9
Answer:
The answer for what the fraction for of 61.075 is 61 3/40
The second one because it has a proportional relationship
Answer:
y = (-2/3)x - 1/3
Step-by-step explanation:
Find the equation of the line through the two points (-2, 1) and (1, -1).
As we increase x from -2 to 1 (an increase of 3), y decreases from 1 to -1 (a decrease of 2).
Thus, the slope of this line is m = rise / run = -2/3.
Using the slope-intercept formula y = mx + b, and substituting the givens m = -2/3, x = -2 and y = 1, we get:
1 = (-2/3)(-2) + b, or
1 = 4/3 + b, or 3/3 = 4/3 + b.
Then b must be 3/3 - 4/3, or -1/3, and the equation of the line is then
y = (-2/3)x - 1/3
