Answer:
Each side of the L-shaped sidewalk is 126 m and 32m respectively.
Step-by-step explanation:
Given:
Total length of the sidewalk = 158 meters
Cutting across the lawn the distance = 130 meters
The L-shaped lawn will be treated as a right angled triangle.
So the 130 m distance is the hypotenuse here.
Let one side of the L-shaped lawn be 'x' meter so the another side will be (158-x) meters.
Applying Pythagoras formula.

So,
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒
Applying quadratic formula;
Quadratic formula :
where a=1 and b=-158 and c=4032
So the value of x= 126 and 32.
The length of each side of the sidewalk is 'x'= 126 m and '(158-x)'='(158-126)'=32 m
Answer:
the first equation
Step-by-step explanation:
Answer:
addition
Step-by-step explanation:
The given expression is 
We want to determine the last operation performed when evaluating this expression for x=3.
We substitute to get:

Multiply within the parenthesis to get:

Subtract to get:

Evaluate the exponent to get:
4+4
Add to obtain:
8
Hence the final operation is addition
<span>5x + 20 = -5x
5x + 5x = -20
10x = -20
x = -20/10
x = -2</span>