Above the 5 you are right
Answer:2
Step-by-step explanation:
Answer:
x=2
y=-3
Step-by-step explanation:
we have
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system of equations by graphing is the intersection point both lines.
using a graphing tool
The intersection point is (2,-3)
therefore
The solution is
x=2
y=-3
Answer:
C
Step-by-step explanation:
Because 0 lbs of sugar is required to make 0 muffins
I hope this is right
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>
![$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Ctext%20%7B%20hypotenuse%20%7D%7D%7B%5Ctext%20%7B%20leg%20%7D%7D%3D%5Cfrac%7B%5Ctext%20%7B%20leg%20%7D%7D%7B%5Ctext%20%7B%20part%20%7D%7D%24)
![$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Cfrac%7BAC%7D%7BBC%7D%3D%5Cfrac%7BBC%7D%7BDC%7D%24)
![$\Rightarrow \frac{16}{x}=\frac{x}{5}$](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Cfrac%7B16%7D%7Bx%7D%3D%5Cfrac%7Bx%7D%7B5%7D%24)
Do cross multiplication.
![\Rightarrow 16\times 5 = x\times x](https://tex.z-dn.net/?f=%5CRightarrow%20%2016%5Ctimes%205%20%3D%20x%5Ctimes%20x)
![\Rightarrow 80= x^2](https://tex.z-dn.net/?f=%5CRightarrow%20%2080%3D%20x%5E2)
![\Rightarrow 16\times 5= x^2](https://tex.z-dn.net/?f=%5CRightarrow%20%2016%5Ctimes%205%3D%20x%5E2)
Taking square root on both sides.
![\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}](https://tex.z-dn.net/?f=%5CRightarrow%20%20%5Csqrt%7B16%5Ctimes%205%7D%20%3D%20%5Csqrt%7Bx%5E2%7D)
![\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}](https://tex.z-dn.net/?f=%5CRightarrow%20%20%5Csqrt%7B4%5E2%5Ctimes%205%7D%20%3D%20%5Csqrt%7Bx%5E2%7D)
square and square roots get canceled, we get
![\Rightarrow 4\sqrt{ 5} = x](https://tex.z-dn.net/?f=%5CRightarrow%20%204%5Csqrt%7B%205%7D%20%3D%20x)
The length of BC is
.