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Aneli [31]
3 years ago
13

Which equation is an identity

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0
This is from google:
An equation that is true for every value of the variable is an identity. The equation 2x = 2x is an identity.
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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
Find the measure of 41.<br> s<br> 839<br> 41<br> 41 = [?]
Mila [183]

<1=97°

steps:

<1+83=180 co interior angle

<1=180-83=97°

5 0
3 years ago
How does 5x + 15 = 45 <br> HELP PLZ
likoan [24]

Answer:

When finding these problems we always have to do the opposite of the operation shown.

In this case its:

5x + 15 = 45

Subtract 15 from both sides (we start off with constants and numbers that are being shown) The reason why its subtraction is because since your adding 15 to 5x the opposite of that is subtraction so use the number shown by itself and subtract it from both sides.

5x = 30

Divide by 5 on both sides since the opposite of 5x is division (only use the number that is shown) We have to get rid of all the numbers on the left.

therefore you'll be left with:

X = 6

6 0
3 years ago
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Need help 8th grade math
Scorpion4ik [409]

Answer:

second

Step-by-step explanation:

5 0
3 years ago
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Which of the following is the solution to the differential equation....
bixtya [17]

Answer:

B

Step-by-step explanation:

\frac{dy}{dx}= (x-2)(y-2)\\ y>2\\\frac{dy}{y-2}=(x-2)dx\\

integrate both side

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4 0
3 years ago
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