Answer:
The area of the figure is 1,000 square feet
Step-by-step explanation:
we know that
The area of the kite ABCD
is equal to
![A=\frac{1}{2}[AC*BD]](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5BAC%2ABD%5D)
where
AC and BD are the diagonals of the kite
we have

substitute
![A=\frac{1}{2}[40*50]=1,000\ ft^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B40%2A50%5D%3D1%2C000%5C%20ft%5E2)
Answer:
X is intercepted at -7
Y is intercepted at 2
Step-by-step explanation:
recall that a cube has all equal sides, check the picture below.
![\bf \textit{volume of a cube}\\\\ V=x^3~~ \begin{cases} x=side's~length\\[-0.5em] \hrulefill\\ V=5.12 \end{cases}\implies 5.12=x^3 \\\\\\ \sqrt[3]{5.12}=x\implies 1.72354775\approx x](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cube%7D%5C%5C%5C%5C%0AV%3Dx%5E3~~%0A%5Cbegin%7Bcases%7D%0Ax%3Dside%27s~length%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0AV%3D5.12%0A%5Cend%7Bcases%7D%5Cimplies%205.12%3Dx%5E3%0A%5C%5C%5C%5C%5C%5C%0A%5Csqrt%5B3%5D%7B5.12%7D%3Dx%5Cimplies%201.72354775%5Capprox%20x)
No more than in terms of math means less than or equal to.
P = 2l + 2w
{96 ≤ 2l + 2w
{L ≥ w - 4
Here we see a system of linear inequality in two variables.
You finish.