I'm solving your system by substitution.
2x-4=5, 5x+4y =2
Step# 1: solve for x
2x - 4+ 4= 5 + 4( add +4 to both sides)
2x = 9
x = 9/2
Step# 2: solve for y
5(9/2) + 4y = 2
4y + 45/2 = 2
4y 45
y = 45/4 = 11.25
Answer:
Step-by-step explanation:
Cups: servings
8 : 22 :: x : 3
Product of means = product of extremes
22*x = 3*8

Answer:
Converse of the alternate exterior angle theorem
Step-by-step explanation:
just took the test ;)
The base would represent the side adjacent to the angle and the height up the wall would be the opposite side. Using the tangent^-1 (opposite over adjacent) function we are looking for the tan^-1 of 6/24 or 14.04°
Answer:
See below for proof.
Step-by-step explanation:
<u>Given</u>:

<u>First derivative</u>

<u />
<u />
<u />

<u>Second derivative</u>
<u />







<u>Proof</u>



![= \left(x+\sqrt{1+x^2}\right)^m\left[m^2-\dfrac{mx}{\sqrt{1+x^2}}+\dfrac{mx}{\sqrt{1+x^2}}-m^2\right]](https://tex.z-dn.net/?f=%3D%20%5Cleft%28x%2B%5Csqrt%7B1%2Bx%5E2%7D%5Cright%29%5Em%5Cleft%5Bm%5E2-%5Cdfrac%7Bmx%7D%7B%5Csqrt%7B1%2Bx%5E2%7D%7D%2B%5Cdfrac%7Bmx%7D%7B%5Csqrt%7B1%2Bx%5E2%7D%7D-m%5E2%5Cright%5D)
![= \left(x+\sqrt{1+x^2}\right)^m\left[0]](https://tex.z-dn.net/?f=%3D%20%5Cleft%28x%2B%5Csqrt%7B1%2Bx%5E2%7D%5Cright%29%5Em%5Cleft%5B0%5D)
