Answer:
The area of the rectangle is 1222 units²
Step-by-step explanation:
The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width
The formula of the area of a rectangle is A = L × W
∵ The length of a rectangle is 5 less than twice the width
- Assume that the width of the rectangle is x units and multiply
x by 2 and subtract 5 from the product to find its length
∴ W = x
∴ L = 2x - 5
- Use the formula of the perimeter above to find its perimeter
∵ P = 2(2x - 5 + x)
∴ P = 2(3x - 5)
- Multiply the bracket by 2
∴ P = 6x - 10
∵ The perimeter of the rectangle is 146 units
∴ P = 146
- Equate the two expression of P
∴ 6x - 10 = 146
- Add 10 to both sides
∴ 6x = 156
- Divide both sides by 6
∴ x = 26
Substitute the value of x in W and L expressions
∴ W = 26 units
∴ L = 2(26) - 5 = 52 - 5
∴ L = 47 units
Now use the formula of the area to find the area of the rectangle
∵ A = 47 × 26
∴ A = 1222 units²
∴ The area of the rectangle is 1222 units²
Slope = (5+7)/(1-4) = 12/-3 = -4
slope = -4
y = mx + b
-7 = -4(4) + b
-7 = -16 + b
b = 9
equation
y = -4x + 9
Corrine earns an hourly wage on top of her weekly gas allowance for her delivery job.
Her weekly earnings can be expressed as:
Earnings = 40 + 7.50h
When h=0, her earnings will be 40
This constant represents, the fixed gas allowance she is receiving for her delivery job. 7.50h represents that she get paid $7.50 for an hour of work.
So, the constant term in the expression represent her weekly gas allowance.
Answer: -4x+2
Step-by-step explanation: Simplify
3x+4y=-36
First we need to put this in slope-intercept form. Start off by subtracting 3x from both sides.
4y= -3x+36
Now divide both sides by 4
y= -3/4x+9
Now, graph the equation and go from there. Your answer will be x=12 and y=9
