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3 years ago

Indicate the equation of the given line in standard form. Write the answer in the equation box below.

Mathematics

1 answer:

denis-greek [22]3 years ago

5 0

Answer:

x + 8y - 35 = 0.

Step-by-step explanation:

The hypotenuse is the line joining A and C.

Slope = (4-5) / (3 + 5)

= -1/8.

Equation is:

y - 4 = -1/8(x - 3)

y - 4 = -1/8x + 3/8

1/8x + y - 35/8 = 0

x + 8y - 35 = 0

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WILLLLL MARK BRAINLIEST IF GOTTTEN RIGHT U GET IT WRONG ON PURPOSE I WILL REPORT U

Semmy [17]

Answer:

your answer is AA

Step-by-step explanation:

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3 years ago

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

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

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

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

3 0

3 years ago

Carmen borrowed money from her sister. Each month she makes four payments , with an average payment of no more than $ 200 . This

cricket20 [7]

Answer:

$95

Step-by-step explanation:

We are told that Carmen makes a monthly payment of no more than 200 dollars. We then see her going above the 200 dollars so we look to the tens and ones place. We see that we now have 25, 45, and 35 dollars. Add them up and you get 105 dollars. 200-105=95 so your awnser is $95.

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3 years ago

Whats the slope for (-17,12) (-8,3)

Nitella [24]

Answer:

-9/11

Step-by-step explanation:

slope is change in y/change in x

change in y is 9 (12-3)

change in x is -11 (-17--8)

slope is -9/11

5 0

2 years ago

Whats the surface area of a prism if theses are the numbers: 11.7 2.6 6.8?

Gre4nikov [31]

A=2(wl+hl+hw)

Therefore when we plug these values in, we get 255.32

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3 years ago