Answer:
x = 7/2, so every side equals 15.
Step-by-step explanation:
The first thing you want to notice about this problem is that keyword "equilateral." That means every one of the sides are equal, and that means you can play around with the algebra to get your answer.
In an equilateral triangle, if you have two sides 4x + 1 and 6x - 6, these sides must be equal. To solve for x, simply set these two equations equal to each other. Note that you can pick any pairing of the three sides and get the same answer; I only chose these because they look easier.
4x + 1 = 6x - 6 ... subtract 4x from both sides
1 = 2x - 6 ... add 6 to both sides
7 = 2x ... solve for x
x = 7/2
You get the same answer if you try 8x - 13 = 4x + 1, and if you do 8x - 13 = 6x - 6. Now that you have the value of x, take that and plug it into ANY of the sides to get the length. (It would be good to plug 7/2 into all of them to check your work!)
4(7/2) + 1 = 15
So the lengths are all 15 feet each.
The question needs choices. Once the choices be presented that's the time the question will be answerable.
Answer:
L= 18 in
W= 8 in
Step-by-step explanation:
Step one:
The length of a rectangle is 10 inches longer than its width
let the width be x
so the lenght is x+10
the area of the rectangle is 144 square inches
Step two:
the factors for the quadratic expression is
18 and -8
the width is 8 in
the length is 8+10= 18 in
Answer:
Step-by-step explanation:
Answer:
x=6
Step-by-step explanation:
2+2x=14
-2 -2
2x=12
2x/2=12/2
x=6
