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3 years ago

What are the intercepts of -4x+6y-5z=60

1 answer:

7 0

Equation is <span>-4x+6y-5z=60
x-intercept is obtained by assuming y=0, z=0, and solving for x.
-4x+0-0=60 => x=-15, hence x-intercept is (-15,0,0)
Similarly for y-intercept, assume x=0,z=0 =>
0+6y-0=60 => y=60/6=10 => y-intercept is (0,10,0)
Again, for the z-intercept, assume x=0,y=0 =>
0+0-5z=60 => z=-12 => z-intercept is (0,0,-12)</span>

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The temperature was -13 and then rose 9. What is the temperature now?

gulaghasi [49]

Answer:

-4

Step-by-step explanation:

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3 years ago

a home improvement store advertised 60 sq ft of flooring for $287 including an $80 installation fee write an equation to represe

Leno4ka [110]

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3 years ago

Four sisters bought a present for their mother. They received a 10% discount on the original price of the gift. After the discou

Orlov [11]

Answer:

$40

Step-by-step explanation:

x is the original price of the gift

(10% of x) is the value of the discount

(10% of x) = 10/100 . x = 0.1 x

0.1 x is the value of the discount

x - (10% of x) is what was paid, after the discount

x - 0.1 x = 0.9 x

0.9 x is what was paid

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$36 / 0.9 = x

x = $36 / 0.9 = 360 / 9

x = 40

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3 years ago

The next train will arrive in 32 minutes and 30 seconds. In how many seconds will the next train arrive

sineoko [7]

You need to multiply the 30 with the 32

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3 years ago

Read 2 more answers

Verify that the divergence theorem is true for the vector field f on the region

schepotkina [342]

$\mathbf f(x,y,z)=5x\,\mathbf i+xy\,\mathbf j+2xz\,\mathbf k$

$\mathrm{div}(\mathbf f)=\dfrac{\partial(5x)}{\partial x}+\dfrac{\partial(xy)}{\partial y}+\dfrac{\partial(2xz)}{\partial z}=5+x+2x=5+3x$

By the divergence theorem, the flux of $\mathbf f$ across the boundary of $E$ is given by

$\displaystyle\iint_{\mathcal S}\mathbf f\cdot\mathrm d\mathbf S=\iiint_E\mathrm{div}(\mathbf f)\,\mathrm dV$

$=\displaystyle\int_{z=0}^{z=2}\int_{y=0}^{y=2}\int_{x=0}^{x=2}(5+3x)\,\mathrm dx\,\mathrm dy\,\mathrm dz=64$

4 0

3 years ago