Answer: (5a-2)(3b+7)
Step-by-step explanation:
34,200+375
=34,575
34,575−5,800
=28,775....answer
Answer: The volume of the cone is 130 cubic centimeters.
Step-by-step explanation:
We know that to find the volume of a cylinder you will use the formula
V= Where r is the radius and h is the height.
And to find the volume of a cone you will use the formula
V= *h /3
So if they have the same dimensions which is the height and the radius then we will just divide the volume of the cylinder by 3 to find the volume of the cone.
V = 390/3
V = 130 cm^3
Answer:
Step-by-step explanation:
<u>Distance From a Point to a Line</u>
Given a line with an equation
:
ax + by + c = 0
And the point
The distance from the line to the point is given by
The triangle has a vertex at (1,-2) and the base lies on the equation
x + y = 3
Rearranging:
x + y - 3 = 0
The altitude of the triangle is the distance from the point to the line.
The values to use in the formula of the distance are: a=1, b=1, c=-3, xo=1, yo=-2:
Rationalizing:
The altitude of the triangle is
Answer:
y = (x^2)/4
Step-by-step explanation:
The vertex of this parabola is halfway between the focus (0,1) and the directrix y = -1. Thus, the vertex is at (0,0). The variable p represents the distance between focus and vertex, which is 1.
Thus, adapting the general formula for the equation of a parabola, we have:
4(1)y=x^2, or 4y = x^2, or y = (x^2)/4.