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3 years ago

Please help!

1 answer:

4 0

Part A: the value of x is 0 because anything to the zero power is 1

part B: x can be any number. 6 to the 0 power is 1 and 1 to any power is 1

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What is the value of 4 to the power of -3

Flauer [41]

Answer:

0.015625

Step-by-step explanation:

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3 years ago

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Find the distance between the points (4,-3) and (5,1)<br> Distance =

Serggg [28]

Answer:

d = sqrt(17)

Step-by-step explanation:

d = sqrt( x2 - x1)^2 + (y2 - y1)^2 )

d = sqrt( (4 - 5)^2 + (-3 - 1)^2 )

d = sqrt( (-1)^2 + (-4)^2 )

d = sqrt ( 1 + 16)

d = sqrt(17)

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3 years ago

Which of these triangle pairs can be mapped to each other using a reflection and a translation?

Irina18 [472]

You're welcome you didn't take the full question

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3 years ago

Find the mass of the triangular region with vertices (0, 0), (3, 0), and (0, 1), with density function ρ(x,y)=x2+y2.

ololo11 [35]

Since density is the ratio of mass to (in this case) area, we can find the mass of the triangular region $\mathcal T$ by computing the double integral of the density function over $\mathcal T$ :

$\mathrm{mass}=\displaystyle\iint_{\mathcal T}\rho(x,y)\,\mathrm dx\,\mathrm dy$

The boundary of $\mathcal T$ is determined by a set of lines in the $x,y$ plane. One way to describe the region $\mathcal T$ is by the set of points,

$\mathcal T=\left\{(x,y)\mid0\le x\le 3\,\land\,0\le y\le1-\dfrac x3\right\}$

So the mass is

$\mathrm{mass}=\displaystyle\int_{x=0}^{x=3}\int_{y=0}^{y=1-x/3}(x^2+y^2)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_{x=0}^{x=3}\left(x^2y+\frac{y^3}3\right)\bigg|_{y=0}^{y=1-x/3}\,\mathrm dx$

$=\displaystyle\int_{x=0}^{x=3}\left(x^2\left(1-\frac x3\right)+\frac{\left(1-\frac x3\right)^3}3\right)\,\mathrm dx$

$=\displaystyle\frac1{81}\int_0^3(27-27x+90x^2-28x^3)\,\mathrm dx=\frac52$

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3 years ago

Two angles are complementary. The measure of the larger angle is 10 more than 4 times the measure of the small angle. Find the m

eimsori [14]

Answer:

Step-by-step explanation:

Let the measurement of the smaller angle = x

Larger angle = 4x + 10

x + (4x + 10) = 90 {complementry}

5x + 10 = 90

5x = 90 -10

5x = 80

x = 80/5

x = 16

Smaller angle = 16

Larger angle = 4*16 + 10 = 64+10 = 74

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3 years ago

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