Answer:
Infinitely many solutions.
Step-by-step explanation:
Any value of X makes the statement true, meaning the solution is all real numbers.
The correct answer is:
<span>
The graph shifts 5 units right
Explanation:
Below is the graph attached of both the equations:
Red line: Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.
As you can see in the graph that g(x) is shifted 5 units right to f(x).
If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)
Total 5 units.
Hence the correct answer is
t<span>
he graph shifts 5 units right.</span>
Answer: 33 gallons
Step-by-step explanation:
We initially have 130 gallons of a
acid solution and we need to change it to a
acid solution, and for that it is necessary to evaporate
gallons of water.
So, this situation can be mathemtically expressed as follows:
![(130)(9\%)=(130-n)(12\%)](https://tex.z-dn.net/?f=%28130%29%289%5C%25%29%3D%28130-n%29%2812%5C%25%29)
Then:
![(130)(\frac{9}{100})=(130-n)(1\frac{12}{100})](https://tex.z-dn.net/?f=%28130%29%28%5Cfrac%7B9%7D%7B100%7D%29%3D%28130-n%29%281%5Cfrac%7B12%7D%7B100%7D%29)
Isolating
:
![11.7=15.6-0.12 n](https://tex.z-dn.net/?f=11.7%3D15.6-0.12%20n)
![n=32.5 \approx 33](https://tex.z-dn.net/?f=n%3D32.5%20%5Capprox%2033)
Hence, we need to evaporate 33 gallons of water.
Answer:
The answers to the first question are A,C,D
The answer to the second question is YZ=16
Step-by-step explanation:
(1st Question)
Since <K and <M Are equal, and both <L's are equal, KL and ML are congruent (Answer choice) because of the ASA postulate.
You need to create the following equation to find the length of KN and MN 7x-4=5x+12
(Get the "x" variable to one side)
2x-4=12
(Isolate the variable)(Remove the 4)
2x=16
(Divide the 2 by itself to remove it from the x, remember to divide both sides by 2)
x=8 (Answer Choice)
Plug in the x value into each equation
KN= 7(8)-4
KN= 56-4
KN= 52
MN= 5(8)+12
MN= 40+12
MN= 52 (Answer Choice)
MN=KN
(Second Question)
Since XWY(20) is half of XWZ(40), ZWY also equals 20.
This now proves the triangle is congruent by the AAS postulate.
Since the triangles are congruent, if XY = 16, YZ also equals 16.