Chase was trying to solve for x and y. He knows that the value of x is 3 times the value of y and that half of x plus twice y is equivalent to −14. Which system of equations could he use to solve for x and y?
A
3y=x12x+2y=−14

B
3x=y12y+2x=−14

C
3y+x=−1412x=2y

D
3x+y=−1412y=2x

6, 10

9, -13

12, -21

18, -23

step-by-step explanation:

you just add 6 to the x-coordinate and subtract 10 from the y-coordinate.

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west