Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(-1.5q+5r)+2

1.5q - 5r = 2

Step-by-step explanation:

All you need to do here is negate each term inside the brackets, which allows you to get rid of the minus sign and the brackets.

-(-1.5q + 5r) = 2

is exactly the same as saying:

-1 × (-1.5q + 5r) = 2

And if we multiply each term in the brackets by negative one, we get:

(1.5q - 5r) = 2

And now the brackets can go, leaving you with:

1.5q - 5r = 2

360/29

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