Using the given information, give the vertex form equation of each parabola.
vertex: (-1,-10) focus: (-3/4, -10)

Step-by-step explanation:

If you plot these points on a coordinate plane, you will see that they both lie on the same horiztonal line, y = -10, with the focus 1/4 to the right of the vertex.  This information tells you a ton of stuff.  First, it tells you that, since a parabola "hugs" the focus, this parabola opens to the right and is of the form x = y-squared.  This equation is

The information also tells us that p (the distance between the vertex and the focus) is .25.  h is the "x" coordinate of the vertex and k is the "y" coordinate of the vertex, so h = -1, and k = -10.  Filling in our formula:

Simplify the left to

and solve for x:

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

a

step-by-step explanation:

the denominator cannot be the same as one of the factors.

8 denominator times 2 denominator = 16

and 7 numerator time 11 = 77

77/16= 77/16 ( they cannot be further simplified)