Answer:
(3,13)
Step-by-step explanation:
Since Point A(3,1) and point B(3,19) is 18 units away we find 2/3's of 18 then add that to point A. 2/3's of 18 is 12 so the point we are looking for is (3,13)
Answer:
x ≈ 20.42, y ≈ 11.71
Step-by-step explanation:
Using the cosine ratio on the right triangle on the right, that is
cos20° =
= ![\frac{11}{y}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7By%7D)
Multiply both sides by y
y × cos20° = 11 ( divide both sides by cos20° )
y =
≈ 11.71
Using the sine ratio on the right triangle on the left, that is
sin35° =
=
= ![\frac{11.71}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B11.71%7D%7Bx%7D)
Multiply both sides by x
x × sin35° = 11.71 ( divide both sides by sin35° )
x =
≈ 20.42
Answer:
3 (5x+2y = 0)
2 (2x – 3y = -19)
Step-by-step explanation:
5x+2y=0 (1)
2x-3y=-19 (2)
To eliminate y from the first two equation when applying the linear combination method
We will multiply y Equation (1) and (2) with 3 and 2 respectively so that the coefficients of y in the two equations +6 and -6 respectively
3(5x+2y=0)
2(2x-3y=-19)
We have,
15x+6y=0 (3)
4x-6y= -38 (4)
Add Equation (3) and (4)
19x=-38
x= -2
Substitute x= -2 into (1)
5x+2y=0
5(-2)+2y=0
-10+2y=0
-10= -2y
y=-10/-2
=5
y=5, x=-2
12 years ago kevin would have been 18 / 3 = 6 times as old as gabriela was 12 years ago