Answer:
width = 5 feet
length = 11 feet
Step-by-step explanation:
Using one variable and setting up two expressions equal to the total area of the rectangle will determine the dimensions of the rectangle.
w = width
l = '4 feet less than three times the width' or 3w - 4
Area = length x width
A = w(3w - 4) = 55
Distribute: 3w² - 4w = 55
Set equation equal to '0': 3w² - 4w - 55 = 0
Multiply 3 x -55 = -165 and find two factors with a product of -165 and sum of -4: -15 and 11.
3w² - 15w + 11w - 55
Group and find the GCF (greatest common factor):
3w(w - 5) + 11(w - 5)
(3w + 11)(w - 5) = 0
3w + 11 = 0 and w - 5 = 0
w = -11/3 not possible to have negative measurement
w = 5 feet
Solve for length: 3(5) - 4 = 11 feet
We need to find the linear function represents the line given by the point-slope equation.
Given options:
y + 7 = –(x + 6).
f(x) = –2/3x – 11.
f(x) = –2/3x – 1.
f(x) = –2/3x + 3.
f(x) = –2/3x + 13.
Point -slope form of the linear equation is in the form y-y1 = m(x - x1).
Where (x1, y1) is given point and m is the slope.
In the given options we have first option y + 7 = –(x + 6).
And it could be written as y-(-7) = -1(x-(-6))
We can see point (x1,y1) = (-7,-6) and slope m= -1.
<h3>Therefore, first option y + 7 = –(x + 6) is correct option.</h3>
Answer:
$1559.40
Step-by-step explanation:
1. Find the perimeter of the garden
2. Convert to feet
1 yd = 3ft
50 x 3 = 150
50 yd = 150 ft
3. Divide by 2.5 to find out how many sections are needed
150/2.5 = 60 sections
4. Multiply by 25.99
60 x 25.99 = 1559.4
It will cost $1559.40
