identify an equation in point-slope form for the line perpendicular to y=-4x-1 that passes through (-2,7)
1 answer:
I find it simplest to convert to standard form, find the perpendicular, convert back.
For standard form we move the x term to the left side:
The perpendiculars are given by swapping the x and y coefficients, negating one. The right side is directly determined by the point (-2,7):
Solve for y for point slope form:
That's the answer.
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Answer:
The volume of the cone is approximately 453.0 cm³
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.
However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:
So we can find the height of the cone with that:
Now that we have the cone's height, we can solve for its volume: