A: l x w = a formula for area
l = w + 48 length
w(w+48) = 3024 substitute l with w+48
w^2 + 48w -3024=0 —solution to part A
B: w^2 + 48w - 3024 = 0 factor
(w-36)(w+84) = 0
Solutions for width = 36,-84
A width can’t be negative, so the width is 36 inches
Answer:
Space between 80 evenly spaced chairs = 21m
Step-by-step explanation:
So, according to the given statement, we have the following expression:
No. of chairs ∝ 
70 chairs are 24m apart, so it can be written as:
70 ∝ 
For, 1 chair , we divide both sides by 70
∝ 
1 ∝
-----------------------(Equation 1)
<u>For 80 chairs:</u>
Multiply both sides of <em>Equation.1</em> by 80
80 ∝
80 ∝
So according to the above relation,
<em>80 evenly spaced chairs will have a space of </em><em>21 m</em><em> between them.</em>
Use the Pythagorean Theorem of a² + b² = c² to solve for x.
x² + (x + 3)² = (√117)²
x² + x² + 6x + 9 = 117
2x² + 6x + 9 = 117
2x² + 6x + 9 - 117 = 0
2x² + 6x - 108 = 0
2x² + 18x - 12x - 108 = 0
2x(x + 9) - 12(x + 9) = 0
(2x - 12)(x + 9) = 0
x = - 9, 6
Length cannot be negative so you can't use - 9.
x = 6. Option C is your answer.
Answer:
70 yd.
Step-by-step explanation:
The three streets at the intersection form a right triangle.
For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

where
x is the length of the 1st side
y is the length of the 2nd side
h is the length of the hypothenuse
Here we want to find the hypothenuse.
We have:
x = 42 yd (length of the 1st side)
y = 56 yd (length of the 2nd side)
Substituting, we find h:

(2x24)+(2x42)
I am not sure