Length = 13 = (x + 3)
Width = 14 = (x + 4)
x2 + 7x + 12 = area of the rectangle
can be factored into
(x + 3)(x + 4)
Let L = one of the factors (x + 3)
Let W = the other factor (x + 4)
If x = 10 then
(10 + 3) = 13 = L
(10 + 4) = 14 = W
Checking this can be checked a couple of ways
Plug x = 10 into the original equation
x2 + 7x + 12
102 + 7(10) 12 = 100 + 70 + 12 = 182 = Area
Multiplty the factors
L x W = 13 x 14 = 182 = Area
I hope you find this useful if you have any questions please send me a message.
Hey there!!
Let's take the number as x and y
Given,
The sum of x and y = 12
One number is 2 more than the other
Let's take y = x + 2
Equations
x + y = 12
As we know y = x + 2 , plug the value in
x + x + 2 = 12
2x + 2 = 12
Subtract 2 on both sides
2x = 10
Divide by 5 on both sides
x = 5
y = 2 + x
y = 7
The numbers are 5 and 7
Hope my answer helps!
1. 500000 cm
2. 16 pints
3. 480 mL
4. 2640 ft
16 or B. Because 128 divided by 8 is 16
