Answer:
3, -8 , 11.
Step-by-step explanation:
f(x) = (x - 3)(x + 8)(x - 11)
Finding the zeros:
(x - 3)(x + 8)(x - 11) = 0
x - 3 = 0 gives x = 3.
x + 8 = 0 gives x = -8.
x - 11 = 0 gives x = 11.
Answer:
Step-by-step explanation:
perpendicular is 90 degrees or inverse slope of that point
y = -1/4x -1
so the inverse slope of -1/4 is 4
now the other equation is
y = 4x - 1
So the two equations are
y = -1/4x -1
y = 4x - 1
Answer:
Area = π r^2.
Step-by-step explanation:
Given the radius r of a circle, the area = π r^2.
So for example the area of a circle of radius 2 = π 2^2
= 4π.
Answer: five hundred and thirteen thousandths
Step-by-step explanation:
1. Is the ones place .0 is the tenths .00 is the hundreths .000 is thousandths look at the decimal and however many numbers are in front or behind.
Equation 1) -x - y - z = -8
Equation 2) -4x + 4y + 5z = 7
Equation 3) 2x + 2z = 4
Solving for three variables is quite similar to solving for two variables. Just like when solving for two variables, you look for like variables & solve them one-by-one. So, let's get started! :)
Multiply ALL of equation 1 by four.
1) 4(-x - y - z = -8)
Simplify.
1) -4x - 4y - 4z = -32
Both equations 1 & 2 have the same three variables (x, y, z), so, we must look at these equations together.
1) -4x - 4y - 4z = -32
2) -4x + 4y + 5z = 7
Add these equations together, and create a fourth equation.
4) -8x - z = -25
Now, notice how both equations 3 & 4 have the same two variables (x, z).
So, we must look at these equations together.
3) 2x + 2z = 4
4) -8x - z = -25
Multiply ALL of equation 4 by 2.
4) 2(-8x - z = -25)
Simplify.
4) -16x - 2z =-50
3) 2x + 2z = 4
Now, add the equations together, so that we can solve for x.
-14x = -42
Divide both sides by -14.
x = 3
Now, plug in 3 for x into our 3rd equation.
3) 2x + 2z = 4
3) 2(3) + 2z = 4
Simplify.
6 + 2z = 4
Subtract 6 from both sides.
2z = 4 - 6
Simplify.
2z = -2
Divide both sides by 2.
z = -1
Now, plug in -1 for z & 3 for x in our 1st equation.
1) -x - y - z = -8
-(3) - y - (-1) = -8
Simplify.
-3 - y + 1 = -8
Simplify.
-2 - y = -8
Add 2 to both sides.
-y = -8 + 2
Simplify.
-y = -6
Divide both sides by -1.
y = 6
SO :
x = 3, y = 6, z = -1
~Hope I helped!~
