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3 years ago

Which of the following lines is parallel to the line y = 4x - 6?

Mathematics

1 answer:

Dovator [93]3 years ago

8 0

Answer:

d y=4x + 5

Step-by-step explanation:

Is parallel beacause they have the same slope, remember

y=ax + c

where a is the slope of the line

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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.

3 0

2 years ago

Write a multiplication equation and a division equation that this diagram could represent.

vivado [14]

Answer:

$3 * 18= 54$ and $54/18 = 3$

Step-by-step explanation:

Given

$Sections = 3$

$Measurement=18$ per section

$Total\ Measurement=54$

Required

Model the scenario

The model of this scenario is:

$Sections * Measurement = Total\ Measurements$

This gives:

$3 * 18 = 54$ -- This represents the multiplication model

Divide both sides by 18

$3 * 18/18 = 54/18$

$3 * 1 = 54/18$

$3 = 54/18$

Reorder

$54/18 = 3$ -- This represents the division model

7 0

2 years ago

Read 2 more answers

Iron can exist as a solid or liquid. Which statement best comparison solid iron and liquid iron?

tester [92]

Answer: Iron, a solid at room temperature, becomes a liquid at 2800 degrees Fahrenheit (really, REALLY hot) and a gas at 5182 degrees Fahrenheit (about half the temperature of the sun). When things are hot, the molecules and atoms move around more and faster, and when they are cold they are slower.

Step-by-step explanation:

3 0

2 years ago

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Can anyone explain what Literal Equations are? PLZ.

melisa1 [442]

Answer:

A literal equation is an equation that consists of multiple variables or letters.

A linear equation is an equation that consists of one variable

Step-by-step explanation:

Literal EX:

a = 1/2h(a + b)

ax + b = c

u = ak/b

Linear EX:

5(3a + 8) = 12a

4a = 8

11(3a - 18) = 12a

4 0

3 years ago

Read 2 more answers

Which term best describes lines that meet at right angles ?

Sholpan [36]

Answer:

Perpendicular

Step-by-step explanation:

Perpendicular lines meet at a 90 degree angle.

5 0

2 years ago