We need to make an equation. The equation used to find perimeter is 2L+2W=A
We know that the area is 24 cm. We also know that the length is 3 cm more than its width: L=3+W; let's plug that equation in for L.
2(3+W)+2W=24; let's simplify the parenthesis. 6+2w+2w=24 6+4w=24; subtract 6 from both sides. 4w=18; divide both sides by 4. W=4.5
Let's find the length if the width is 4.5.
4.5+3=7.5; So, the length is 7.5 and the width is 4.5. Let's check. 2(7.5)+2(4.5)=15+9=24
So, the length is 7.5 and the width is 4.5.
Given : 7y=8x-14 and y =6
We plug in 6 for y in the given equation
Statement Reason
7y=8x-14, y=6 Given
7(6)= 8x-14 Substitution
56 = 8x Add 14 on both sides
7 = x divide by 8 on both sides
Hence proved x=7
4644. 1032x4.5 4644 Is how much money she make in a year
Step 1 should be
Bring the constant to the other side and divide the whole equation with 6 resulting to
x2 + 4x = -7/6
Step 3 should be
Complete the square by dividing the coefficient of x by 2, squaring it and adding the result to both sides of the equation.
x2 + 4x + 4 = -7/6 + 4
Step 4 should be
Factor the quadratic equation and simplify
(x+2)2 = -17/6
Step should be
Get the square root of booth sides and solve for the values of x
x+2 = +-√(102) / 6
So,
x = -2 + √(102) / 6 and x = -2 - <span>√(102) /3
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