The length of BC is
.
Solution:
Given ABC is a right triangle.
AC is the hypotenuse and BD is the altitude.
AB and BC are legs of the triangle ABC.
AC = 16 and DC = 5
<u>Leg rule of geometric mean theorem:</u>



Do cross multiplication.



Taking square root on both sides.


square and square roots get canceled, we get

The length of BC is
.
You solve for the domain by setting the radicand less than or equal to 0 and solving for x. Dividing by a -x, we switch the sign so we have that the domain is less than or equal to 0, or all negative numbers. We know that it breaks every law in math to have a negative radicand with an even index, so if the domain is all negative values of x, taking a negative of a negative gives us a positive. The negative sign OUTSIDE the radical means you are flipping the graph upside down. So instead of having a range of y is greater than or equal to 0 as does the parent graph, you have flipped it upside down so it heads more negative in regards to the range. Therefore, the domain and the range both have the same sign, thee last choice from above.
276 divides by 4 = 69
So 3x69 = 207 + 276 = $483
L = 4 + w
l/w = 7/5
l = 7w/5
7w/5 = 5 + w
7w = 25 + 5w
2w = 25
w = 12.5
l = 4 + 12.5
l = 16.5
the dimensions are 16.5 x 12.5 cm