Answer:
x+3
Step-by-step explanation:
Area of a rectangle is 
.
We know the width, W, is 
and we know the area is 
.
Inputting this in our formula above we get:
L is a an expression such that when you multiply it to 
gives you 
.
is a difference of squares and can be factored using:
.
.
So L=x-3 and W=x+3.
Answer:
Given equations:
<u>Make x the subject in equation 1</u>:
<u>Substitute this into equation 2</u>:
2(y - 3) - 7y = -14
2y - 7y = -14 + 6
-5y = -8
y = -8/-5
y = 1.6
Then x = y - 3
= 1.6 - 3
= -1.4
Solution: (x, y) ⇒ (-1.4, 1.6)
<h3>
Answer: y - 1 = 3(x - 2)</h3>
Explanation:
The point-slope form is this general template
y - y1 = m(x - x1)
We replace m with the given slope 3, so we get to this
y - y1 = 3(x - x1)
Then replace the given point (x1, y1) with (2, 1) to end up with
y - 1 = 3(x - 2)
9 :
Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6
= > Perimeter of Rectangle = 2( base + height )
= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }
= > 88 / 2 = { x + 4 + x - 6 }
= > 44 = 2x - 2
= > 46 = 2x
= > 46 / 2 = x
= > 23 = x
Therefore,
Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units
Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units
10 :
Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4
Given that the sum of all integers is 36
= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36
= > x + x + 2 + x + 4 = 36
= > 3x + 6 = 36
= > 3x = 30
= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )
= > x = 10
Value of first integer = x = 10
