Answer:
third option (7.5, 8)
this option (6, 5, -3)
Step-by-step explanation:
you eliminate one variant by expressing it through the other(s) until you have one equation with one variable.
that you solve, and then you go back to the other elimination expressions to calculate the others.
2x - y = 7
-2x + 3y = 9
since the terms with x are already so similar, we could now simply add both equations and solve that result :
2x + (-2x) -y + 3y = 7+9 = 16
0×x + 2y = 16
2y = 16
y = 8
=>
2x - 8 = 7
2x = 15
x = 7.5
x - 2y - 3z = 5
x + 2y + 3z = 7
x + z = 3
the same trick by adding the first 2 equations
x + x -2y + 2y -3z + 3z = 5 + 7 = 12
2x + 0y + 0z = 12
2x = 12
x = 6
=>
6 + z = 3
z = -3
and then
6 + 2y + 3(-3) = 7
6 + 2y - 9 = 7
2y - 3 = 7
2y = 10
y = 5
Answer: ( - infinity , 2]
No need to spam, it makes you lose your hard-earned points!
E and C are the correct answers,
Hope that helps!!
Answer:
Option B
Step-by-step explanation:
First identify which options are a match for the hyperbola with a foci of (- 12, 6) and ( 6, 6 ). If there is only one, we can claim that that is the solution. Otherwise we would have to take the vertices into account,
The first option can be eliminated as it is present with a decimal in the denominator, indicating that the foci should also be a decimal. However, the foci of this option should be valuable to us -
The second option squares the denominators of the first option, so the foci should be the following -
Which is the given! The rest of the options are similar to this second option, but are altered, thus don't have the same foci,
<u><em>Solution = Option B</em></u>
<span>V(h 24) = 30 cm*20 cm*24 cm = 14400 cm³ = 14,4 liters</span>
<span>V(h 15) = 30 cm*20 cm*15 cm = 9000 cm³ = 9 liters</span>
<span> + 6,5 liters = + 6500 cm³ </span>
9 liters + 6,5 liters = 15,5 liters => 15,5 liters -14,4 liters = 1,1 liters
now 15500 cm³ => 1100 cm³ =1,1 liters too much !!
Answer: 1,1 liters of water overflow the container.<span>
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