Solving equations and distributive property

x = 1

Step-by-step explanation:

First, expand the equation. 9 times 2 is 18, and 9 times 3x is 17x. With this, the equation is now 18 + 27x = 45. Then, subtract 18 from both sides to get the equation 27x = 27. Now, divide 27 by both sides, and you get x = 1.

the first option i believe

step-by-step explanation:

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