Answer:
the volume of the tent is 30ft³
The slope is 4/3.
rise/run
rise = 4
run = 3
Answer:
Length equals 16 and Width equals 4
Step-by-step explanation:
First let us create an equation. We can use L and W for length and width.
If the length is 4 times the width, then we end up with: L = 4W
It then says, " If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square."
Since a square has an equal length and width then we end up with:
L - 6 = W + 6
Knowing this we can just substitute the first equation into the second one leaving us with: 4W - 6 = W + 6
We then remove a W from both sides so that the right side is left with a 6, and add 6 to both sides to remove the -6 from the left one.
This leaves us with 3W = 12
W = 4, and if we put that into our first equation, L = 4W, then Length equals 16, and Width equals 4. We can check this by putting it into the 2nd equation. 16 - 6 = 4 + 6.
Based on the equation, the coordinate point is (-4, 2). It is -4 because in the original equation, it's
, but because it's positive, that must mean it was originally a negative. Why? Because a negative times an negative equals a positive.
Now, let's convert this to Slope-Intercept Form.
y - 2 = 2/3(x + 4)
y - 2 = 2/3x + 8/3
Add 2 to both sides.
y = 2/3x + 14/3
The slope of the line is 2/3 and the original point was (-4, 2).
Answer:
x= 17/8
Step-by-step explanation:
6x− 5/2=2x+6
Step 1: Simplify both sides of the equation.
6x+−5/2=2x+6
Step 2: Subtract 2x from both sides.
6x+−5/2−2x=2x+6−2x
4x+−5/2=6
Step 3: Add 5/2 to both sides.
4x+−5/2+5/2=6+5/2
4x=17/2
Step 4: Divide both sides by 4.
4x/4=17/2/4
x=17/8
