Nicole is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Nicole scored a total of 30 points and made 5 more three point shots than two point shots. Graphically solve a system of equations in order to determine the number of three point shots made, x, and the number of two point shots made, y

the point of interception is (8,3)

Step-by-step explanation:

The x variable represents the number of three point shots made and the y variable represents the number of two point shots made. Since the lines intersect at the point (8,3) we can say:

Nicole made 8 three point shots and 3 two point shots.

$97520

step-by-step explanation:

add 6% to the value she got from selling the house.

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