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3 years ago

What goes in the parenthesis

Mathematics

2 answers:

makvit [3.9K]3 years ago

8 0

Answer:

x-4

Step-by-step explanation:

second equation includes 5y And we know from the 1st equation that y= x-4

so plug x-4 instead of y

Artist 52 [7]3 years ago

4 0

Answer:

......-4 I think......

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Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant

Alex787 [66]

Find the intercepts for both planes.

Plane 1, x + y + 2z = 2:

$y=z=0\implies x=2\implies (2,0,0)$

$x=z=0\implies y=2\implies(0,2,0)$

$x=y=0\implies 2z=2\implies z=1\implies(0,0,1)$

Plane 2, 4x + 4y + z = 8:

$y=z=0\implies4x=8\implies x=2\implies(2,0,0)$

$x=z=0\implies4y=8\impliesy=2\implies(0,2,0)$

$x=y=0\implies z=8\implies(0,0,8)$

Both planes share the same x- and y-intercepts, but the second plane's z-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (x, y)-plane where z = 0, we see the bounded region projects down to the triangle in the first quadrant with legs x = 0, y = 0, and x + y = 2, or y = 2 - x.

So the volume of the region is

$\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx$

$=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}$

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3 years ago

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Answer:

the answer is 41

Step-by-step explanation:

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3 years ago

Micah rows his boat on a river 4.48 miles downstream, with the current, in 0.32 hours. He rows back upstream the same distance,

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The speed of the current that Micah rows his boat on would be 3 miles per hour assuming that he is rowing 4.48 miles downstream with the current, in 0.32 hours.

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3 years ago

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pishuonlain [190]

The answer to 31,096 + 59,721 is 89,817 so B 89,800 is the best estimate

2nd- The answer to 69,896 - 42,901 is 26,995 so A 26,900 is the best answer

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3 years ago

What is the value of X? X= B=75 C=50 A=x Thank u! Sorry i'm dumb:(

murzikaleks [220]

Angels on a triangle is 180°
so you add 75 and 50 which gives you 125 then u take away that by 180 to find x
and that your answer
I'm going to let you work it out since its easy question

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3 years ago