3
—
-2
because the answer is 6 over -4 and it simplified is that answer.
Answer:
63 ft^2
Step-by-step explanation:
We know that the area for the rectangle is 72 feet squared.
We also know that the area for the triangle is 9 feet squared.
To find out the area of the whole thing you subtract 72-9 whcih gives you 63.
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
Given:
.
Assuming that
,
while
.
Step-by-step explanation:
By the Pythagorean identity
.
Assuming that
,
.
Rearrange the Pythagorean identity to find an expression for
.
.
Given that
:
.
Hence,
would be:
.