--------------------------------------------------
Define length and width
--------------------------------------------------
Let x be the width
width = x
Length = 2x + 4
--------------------------------------------------
Formula
--------------------------------------------------
Perimeter = 2(length + width)
--------------------------------------------------
Find Length and width
--------------------------------------------------
62 = 2(2x + 4 + x)
62 = 2(3x + 4) <em> ← combine like terms </em>
62 = 6x + 8 <em>← remove bracket </em>
62 - 8 = 6x <em>← minus 8 on both sides </em>
6x = 54 <em> ← swap sides </em>
x = 54 ÷ 6 <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>
--------------------------------------------------
Find Length and Width
--------------------------------------------------
Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m
--------------------------------------------------
Answer: Length = 22m
--------------------------------------------------
Answer:
c. -1
b. 5
Step-by-step explanation:
x^2 - 4x - 5 = 0
Factor
What two numbers multiply to -5 and add to -1
-5*1 = -5
-5+1 = -4
(x-5) (x+1) =0
Using the zero product property
x-5 =0 x+1 =0
x=5 x=-1
Answer: x = -6
Step-by-step explanation:
Whenever you want to find the x-intercept (this would also apply to y-intercept, but we're focusing on x), you'd simply equal y to 0 and then solve for x.
-2x + 3(0) = 12
-2x = 12
÷-2 ÷-2
The answer is going to be x = -6
