Answer:
Part 1) The perimeter of rectangle is equal to 24 units
Part 2) The area of rectangle is equal to 32 square units
Step-by-step explanation:
Part 1) Find the perimeter of rectangle
we know that
The perimeter of rectangle is equal to

where
L is the length of rectangle
W is the width of rectangle
we have

Plot the figure to better understand the problem
using a graphing tool
see the attached figure
Remember that in a rectangle opposite sides are congruent and the measure of each interior angle is equal to 90 degrees
so

the formula to calculate the distance between two points is equal to

step 1
Find the distance FG

substitute the values



step 2
Find the distance RF

substitute the values



step 3
Find the perimeter

we have

substitute

Part 2) Find the area of rectangle FROG
we know that
The area of rectangle is equal to

we have

substitute

Answer:
(4, 9) is not a solution to 3(x + 2) = y.
Step-by-step explanation:
3(x + 2) = y
Substitute (4, 9) into the equation.
3(4 + 2) = 9
Add the inside of the parenthesis.
3(6) = 9
Multiply.
18 ≠ 9
Q6.
The slope-intercept form: y = mx + b
m - slope
b - y-intercept
We have: slope m = 3, y-intercept (0, 4) → b= 4
<h3>Answer: y = 3x + 4</h3>
Q7.
2x + 4y = 4 |subtract 2x from both sides
4y = -2x + 4 |divide both sides by 4
y = -0.5x + 1
Only second graph has y-intercept = 1.
<h3>Answer: The second graph.</h3>
Q8.
The point-slope form:

We have

Substitute:

<h3>Answer: The first equation.</h3>
Q9.
It's a vertical line. The equation of a vertical line is x = <em>a</em>, where <em>a</em> is any real number.
<h3>Answer: x = -4</h3>
The answer is 977 seconds squared
Answer:
0.205177 mi
Step-by-step explanation:
Step 1: Find conversions
12 in = 1 ft
5280 ft = 1 mi
Step 2: Use Dimensional Analysis

0.205177 mi