We are have a system of equations with 2 variables, x and y
Equation 1: -3x-3y = 3
Equation 2: y = -5x-17
For equation 1, the y is by itself on one side of the equation, so it is really easily to substitute it into equation 2. In general, to solve for system of equations, you either do elimination or substitution. You just have to find which is easier for this situation.
By substituting y for -5x-17 in equation 1, there is only 1 variable which we can solve for.
-3x-(-5x-17) = 3
Distribute negative sign to (-5x-17) Avoid the common error of forgetting!
-3x+5x+17 = 3
Combine like terms- same variables are like terms (ex. 4x and 29x) and all constants are like terms (ex. 7 and 189 )
2x+17 = 3
Subtract 17 from both sides so all the variables are on one side and the constants on the other
2x = -14
Divide both sides by 2 to isolate the x
x = -7
We now know that x = -7 so we need to plug it into an equation to solve for y
Equation 2: y = -5x-17
y = -5 (-7) -17
y = 18
Now we know that x = -7 and y = 8
We can write it as (-7, 8)
Answer: 26.13yards^2
Step-by-step explanation:
To find the area of the bottom part we can use the diameter.
6 yards. Divide it by half to have the Radius.
Now we use the formula to find the area of a circle which is
A = 3.14*R^2 Pie times radius squared.
A = 3.14*3^2
A = 3.14*9
A = 28.26 Now that we have the area of the circle divide it by 2.
14.13
Now to find the area of an isosceles triangle we use the formula
A = Base * Height Divided by 2.
A = 6*4/2
A = 24/2
A = 12
12 + 14.13 = 26.13
This is the picture of the line
good luck
The volume of a right circular cylinder is V=πr²*h
V=π*2*2*h=100π
h=25cm