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2 years ago

Write the linear equation in slope-intercept form 2x - 3y = 6

1 answer:

7 0

2x - 3y = 6
3y = -2x + 6

y = - $\frac{2}{3}$ x + 2

m = - $\frac{2}{3}$
c = 2

Linear Equation:
y = - $\frac{2}{3}$ x + 2

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H(x)=-2x-5, find h(-2)

Vedmedyk [2.9K]

Answer:

h(-2) = -1

Step-by-step explanation:

h(x)=-2x-5

Let x= -2

h(-2)=-2*-2-5

= 4 -5

h(-2) = -1

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3 years ago

Electric charge is distributed over the disk x2 + y2 ≤ 16 so that the charge density at (x, y) is rho(x, y) = 2x + 2y + 2x2 + 2y

professor190 [17]

Answer:

Required total charge is $256\pi$ coulombs per square meter.

Step-by-step explanation:

Given electric charge is dristributed over the disk,

$x^2=y^2\leq 16$ so that the charge density at (x,y) is,

$\rho (x,y)=2x+2y+2x^2+2y^2$

To find total charge on the disk let Q be the total charge and $x=r\cos\theta,y=r\sin\theta$ so that,

$Q={\int\int}_Q\rho(x,y) dA$ where A is the surface of disk.

$=\int_{0}^{2\pi}\int_{0}^{4}(2x+2y+2x^2+2y^2)dA$

$=\int_{0}^{2\pi}\int_{0}^{4}(2r\cos\theta+2r\sin\theta+2r^2 \cos^{2}\theta+2r^2\sin^2\theta)rdrd\theta$

$=2\int_{0}^{2\pi}\int_{0}^{4}r^2(\cos\theta+\sin\theta)drd\theta+2\int_{0}^{2\pi}\int_{0}^{4}r^3drd\theta$

$=\frac{2}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)\Big[r^3\Big]_{0}^{4}d\theta+2\int_{0}^{2\pi}\Big[\frac{r^4}{4}\Big]d\theta$

$=\frac{128}{3}\int_{0}^{2\pi}(\sin\theta+\cos\theta)d\theta+128\int_{0}^{2\pi}d\theta$

$=\frac{128}{3}\Big[\sin\theta-\cos\theta\Big]_{0}^{2\pi}+128\times 2\pi$

$=\frac{128}{3}\Big[\sin 2\pi-\cos 2\pi-\sin 0+\cos 0\Big]+256\pi$

$=256\pi$

Hence total charge is $256\pi$ coulombs per square meter.

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3 years ago

Find the zeros of the polynomial p(x) 5-10x

Charra [1.4K]

Answer:

Step-by-step explanation:

The given polynomial is :

p(x) = 5-10x

We need to find the zeros of the above polynomial. To find it, put p(x) = 0

5-10x = 0

Subtract 5 from both sides

5-10x-5=0-5

-10x=-5

10x=5

Divide both sides by 10.

x = 0.5 = 1/2

Hence, the zeros of the polynomial is 1/2.

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2 years ago

The correlation coefficient r between a child’s age, x, and the number of minutes spent doing homework each day, y, is 0.694. Wh

jonny [76]

So, they are looking for the percentage that is NOT explained... Well, given the r we can find the percentage that IS explained by it first. That's given by r^2.

Now - let's take the square of r it gives me .481636. That means that about 48% IS explained. Therefore, the part that cannot be explained must be the missing part (out of 100% so 100% - 48.1636% should be it :)

So 100% - 48.1636% = 0.518364 and we want to round that off to three decimal places which will give us 0.518... and then we could convert that to a percent for the final. So 0.518 as a percentage is 51.8%! s

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3 years ago

Preston and horation have 49 video games total. Horation has 11 more than preston. How many games does each person have?

Makovka662 [10]

Preston has 19 games and Horation has 30.

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3 years ago