A cone that is sliced through the vertex would make the shape of a triangle.
You are told the h eight is 10 cm and the radius is 4 cm.
The radius would be half the base, so the base would be 4 * 2 =8 cm.
The area of the triangle is found by multiplying the base by the height, then dividing by two.
Area = 8 x 10 = 80
80 / 2 = 40 square centimeters.
The slope of the given line = 1 so the slope of the line perpendicular to it will be -(1/1) = -1.
It also passes through point (1, -1) so we use the point slope equation
y - y1 = m(x - x1)
y - -1) = -1(x - 1)
y + 1 = -x + 1
y = - x <--------- that's the answer
A <em>factor</em> is a number that your number is divisible by.
19 has two factors: 19 and 1.
23 also has two factors: 23 and 1.
21 has four factors: It is divisible by 21 and 1, but also by 3 and 7.
25 has three factors: It is divisible by 25, 1, and 5.
We need a number less than 19 that has five or more factors.
What we can do is multiply a bunch of numbers together (so that we know that our number will be divisible by them) to give it a lot of factors.
Let's try 2 × 2 × 3. This gives us 12.
12 has <em>six</em> factors: 12, 1, 2, 6, 3, and 4.