Answer:
(1/3)q - (4/3) p - 5/9
Step-by-step explanation:
Step one
Write the fractional form of the givens
(1/3)(q + p)
(5/9)(3p + 1)
Step Two
Write out the expression
(1/3)(q + p) - (5/9)(3p + 1) Remove the brackets
(1/3)q + (1/3)p - (5/9)*3p - 5/9 Combine the 2 p terms
(1/3)q + (1/3 - 15/9 )p - 5/9 Reduce 15/9 down to 5/3
(1/3)q + (1/3 - 5/3)p - 5/9 Combine what is inside the brackets
(1/3)q + ( - 4/3)p - 5/9 Bring out the minus sign
(1/3)q - (4/3) p - 5/9 This should be your answer.
Area of a rectangle = base x height
A = 10x² ft²
base = 2x ft
10x² = (2x) × (height)
divide both sides by 2x
5x = height
The height of the rectangle is 5x feet.
A) Pine Road and Oak Street form a right angle, so we can extract the relation

where

is the distance we want to find (bottom side of the rectangle).
Alternatively, we can use the other given angle by solving for

in

but we'll find the same solution either way.
b) Pine Road and Oak Street form a right triangle, with Main Street as its hypotenuse. We can use the Pythagorean theorem to find how long it is.

Let

be the length of Main Street. Then

but of course the distance has to be positive, so

.
Answer:
You'll get 134% based on m research
Step-by-step explanation: