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Alenkinab [10]
2 years ago
15

If correct then I’ll mark brainlist

Mathematics
1 answer:
Leto [7]2 years ago
5 0

Answer:

(-11, -12)

Step-by-step explanation:

we need one variable to x out

on the note of x, lets cancel out the xs

6x+3y=-102

3x+y=-45 < same as 6x+2y-90

6x+3y=-102

-

6x+2y=-90

y=-12

substitute y in

3x-12=-45

3x=-33

x=-11

(-11, -12)

Please give brainliest :)

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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
makkiz [27]

Answer:

Step-by-step explanation:

x + 2y + 3z = 12

z=\frac{12-x-2y}{3}

Volume = V=f(x,y) = xy(\frac{12-x-2y}{3} )

find partial derivatives using product rule

f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

6 0
3 years ago
The sum of a number and three is less than nineteen less than the number
Nataliya [291]
The answer to the solution is X+3<19-x.

6 0
3 years ago
A cheetah ran 300 feet in 2.92 secods. What was the cheetahs average speed in miles per hou? Show your work.
Tom [10]
Start by converting 300 feet to miles and 2.92 seconds to hours.

300 feet      1 mile
----------- x -------------- = ?
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2.92 sec              1 hr
----------------- * ---------------- =  ?
        1               3600 sec

Reduce each of the above fractions.  Then convert  300 feet
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equivalent speed / rate in mph using the converstion factors you derived earlier.
6 0
3 years ago
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PtichkaEL [24]
Draw a right triangle.

tan(theta) = \frac{opposite}{adjacent}

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Arctangent (tan^-1) can be used to find theta.

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8 0
3 years ago
Can someone help explain why the answer is 75 degrees?​
Scilla [17]

Answer:

Step-by-step explanation:

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