Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
UVX and RSV should be corrisponding angles
Step-by-step explanation:
<u>The standard form of linear equation:</u>
<u>Convert each equation into standard form:</u>
<h3>#5</h3>
- 3x = 18
- 3x + 0y - 18 = 0
- A = 3, B = 0, C = - 18
<h3>#6</h3>
- y/2 = - 5
- 0x + 1/2y + 5 = 0
- A = 0, B = 1/2, C = 5
Combine like terms. -2y+y=-y. The equation is now -y-3=6. You need to get the y by itself so add 3 to both sides. The equation is now -y=9. You are solving for y so divide both sides by -1. The equation will be y=-9. The answer is y=-9. Hope this helps! ;)
Answer:
5.85 years
Step-by-step explanation:
Overall number of associates employed = 117
Number of associates employed per year = 20
Average = Total number of associates employed ÷ number of associates employed per year = 117 associates ÷ 20 associates per year = 5.85 years
