First create the equation y=Mx+ B
B is the y intercept so when y = 0, B = -1.
Now we have y=Mx - 1
The slope is M. We can calculate this by using the formula M = (y2 -y1) / (x2 - x1)
Use the points (0, -1) and (2,3) for these values. So y2 = 3, y1 = -1, x2 = 2, x1 = 0
Plug them into the equation and solve
M = (3 + 1) / (2 - 0)
M = 4/2 = 2
Now we have the equation y = 2x - 1
Next to figure out if the points given are on the line you take the values and plug them into your equation like so: 4 = 2(-2) - 1
2(-2) - 1 does not equal 4 so this point does not fall on this line. Follow this same procedure for the next point given.
Answer:
900 cubic inches.
Step-by-step explanation:
<u>Given the following data </u>
Volume of right circular cone = 300in³
We know that the volume of a right circular cone is given by the formula;
Where;
- V is the volume of right circular cone.
- r is the radius of the base of the right circular cone.
- h is the height of the right circular cone.
The volume of a right circular cylinder is given by the formula;
Thus, multiplying the volume of the right circular cone by 3 would give us the volume of the right circular cylinder.
<em>Substituting into the equation, we have;</em>
V = 300 * 3
V = 900in³
<em>Therefore, the volume of a right cylinder that has the same base and height as the cone is 900 cubic inches.</em>
Answer:
Step-by-step explanation:
if x= -2
and P(x)=x^4+4x^3+6x^2-8
then P(-2)=(-2)^4+4*(-2)^3+6*(-2)^2-8=16-32+24-8=0
so P(x)=(x+2)* Q(x) and P(x) is divisible by x+2
AC is the hypotenuse of triangle ABC.
Because the length is 6√2 and angle A is 45 degrees, we know the length of both sides is 6.
This means AB is 6, which it the hypotenuse of triangle BCD.
Using cos(angle) = adjacent leg / hypotenuse we can find x:
cos(60) = X / 6
x = 6 * cos(60)
x = 3
