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.
y=5x+20
If you need to you can graph this in Desmos.
y is cost, 5 is price per dog, x is the number of dogs 5 and x times each other. y is total cost.
I hope this helps.
N = 1 because 1 + 6 = 7 so what plus 6 = 7
To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12
Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
Answer:
x=1
y=-1
Step-by-step explanation:
