A parabola has x-axis intercepts 6 and -3, and passes through the point (1,10). Find the equation of the parabola

We know that this parabola intecepts the x-axis in 6 and -3. This means that is a vertical axis parabola. But also we know that our parabola passes through (1,10). Graphing these we conclude that is a concave down parabola

The general formula for this is:

To solve this we need to form a 3 equations system with our three points

We can solve for c in the first one

and replace in the second one and solve for b:

And replace c and b in the third equation:

Solve for a:

so b and c:

So:

the 1st digit is in the 100s n its 1

step-by-step explanation:

3,589÷18 = 199.389

so the first digit of the quotient is in the 100s n its 1

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi