So we need to find the length of the hypotenuse of a right triangle with sides of 3 and 4, then add that distance to 3 and 4.
By the Pythagorean Theorme, the hypotenuse squared is equal to the sum of the sides squared...
d^2=3^2+4^2
d^2=9+16
d^2=25
d=√25
d=5
So the total distance of her run is 5+4+3=12 km
Answer:
Can not see the other two possible answers
Step-by-step explanation:
so.. hmm which is it? the positive or the negative one?
well, we know angle "t" is in the IV quadrant, sine is negative on the IV quadrant, thus, is the negative one
Answer:
y = 2
Step-by-step explanation:
given the 2 equations
5x - 3y = - 11 → (1)
2x - 6y = - 14 → (2)
multiply (1) by - 2, to eliminate the term in y
- 10x + 6y = 22 → (3)
add (2) and (3) term by term
(2x - 10x) + (- 6y + 6y) = (- 14 + 22)
- 8x = 8 ( divide both sides by - 8 )
x = - 1
substitute x = - 1 into either (1) or (2) and solve for y
(1) : - 5 - 3y = - 11 ( add 5 to both sides )
- 3y = - 6 ( divide both sides by - 3 )
y = 2
solution is (- 1, 2 )