Answer:
y = -2x+1
Step-by-step explanation:
We have a point and a slope, so we can use the point slope form of a line
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y-3 = -2(x--1)
y-3=-2(x+1)
Distribute the 2
y-3 = -2x-2
Add 3 to each side
y-3+3 = -2x-2+3
y = -2x+1
This is in slope intercept form
Answer:
2) x = -2
, y = 2
3) no solution exists
Step-by-step explanation:
Solve the following system:
{-2 x - 3 y = -2
y = 2 x + 6
Hint: | Perform a substitution.
Substitute y = 2 x + 6 into the first equation:
{-2 x - 3 (2 x + 6) = -2
y = 2 x + 6
Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.
-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for x:
{-8 x - 18 = -2
y = 2 x + 6
Hint: | Isolate terms with x to the left hand side.
Add 18 to both sides:
{-8 x = 16
y = 2 x + 6
Hint: | Solve for x.
Divide both sides by -8:
{x = -2
y = 2 x + 6
Hint: | Perform a back substitution.
Substitute x = -2 into the second equation:
Answer: {x = -2
, y = 2
Answer:
c =1.50n +2.50
Step-by-step explanation:
c=1.50(n-2)+5.50
The first step is to distribute the 1.5
c= 1.50*n -1.50*2 + 5.50
c = 1.50n - 3.0 +5.50
Now we need to combine like terms
c =1.50n +2.50
<u>Given</u>:
Given that the diameter of the hemisphere is 12.6 cm
The radius of the hemisphere is given by
We need to determine the volume of the hemisphere.
<u>Volume of the hemisphere:</u>
Let us determine the volume of the hemisphere.
The volume of the hemisphere can be determined using the formula,
Substituting the values, r = 6.3 and π = 3.14, we have;
Simplifying the values, we have;
Dividing, we have;
Rounding off to the nearest tenth, we get;
Thus, the volume of the hemisphere is 523.5 cm³
The correct answer for this would be 32/5
