<h3>
Answer: (3, 0)</h3>
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Explanation:
Let's isolate x in the first equation.
x-2y = 3
x = 3+2y
Then we'll plug this into the second equation
Afterwards, solve for y.
2x + 4y = 6
2(3+2y)+4y = 6
6+4y+4y = 6
8y+6 = 6
8y = 6-6
8y = 0
y = 0/8
y = 0
Use this to find x.
x = 3+2y
x = 3+2(0)
x = 3
The solution is therefore (x,y) = (3, 0)
If you were to graph both lines, then they would intersect at the location (3,0).
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Checking the answer:
Plug x = 3 and y = 0 into the first equation.
x-2y = 3
3-2(0) = 3
3 - 0 = 3
3 = 3 that works
Repeat for the other equation
2x+4y = 6
2(3) + 4(0) = 6
6 + 0 = 6
6 = 6 that works as well
Both equations are true when (x,y) = (3,0).
The solution is confirmed.
Answer:
x = 9
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = 
, then
sin45° = 
= 
= ( cross- multiply )
x × 
= 9 ( divide both sides by )
x = 9
Answer:
10 minutes
Step-by-step explanation:
To solve this , we need to first calculate the volume of the rectangular prism. Let’s say this is V.
Mathematically, V = w h l where w, h and l are width , height and length respectively.
V = 20 * 18 * 10 = 3600 in^3
Now to get the number of minutes, we divide the volume by the draining rate.
That would be 3600/360 = 10 minutes
Answer: 21
Step-by-step explanation:
I think the answer is 1/8 but I’m not 100% positive
