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4 years ago

10

Given y=2x+5, determine is -6x+3y=-30 is parallel, perpendicular, or neither?

1 answer:

kvv77 [185]4 years ago

8 0

Answer:

Parallel

Step-by-step explanation:

2x+5 slope: 2

-6x+3y=30 slope: 2

Hence the answer is parallel

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Is this relation a function? Justify your answer.

mote1985 [20]

Answer:

Step-by-step explanation:

B is the answer

for the same x you could not have diferent y

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3 years ago

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Find the volume. Answer without units. *<br> 2<br> 4- in<br> 5<br> 3 in<br> 3<br> 16 - in<br> 4

Harman [31]

Answer:

the answer is 221.1

Step-by-step explanation:

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3 years ago

Electric charge is distributed over the rectangle 2 ≤ x ≤ 4, 0 ≤ y ≤ 2 so that the charge density at (x, y) is σ(x, y) = 2xy + y

dybincka [34]

Answer:

The total charge on the rectangle is 29.33C

Step-by-step explanation:

Given

σ(x, y) = 2xy + y²

For 2 ≤ x ≤ 4, 0 ≤ y ≤ 2

The total charge on the rectangle is calculated as follows.

Charge, q = ∫∫2xy + y² dydx {0,2}{2,4}

Integrate with respect to y

q = ∫xy² + ⅓y³ dydx {0,2}{2,4}

q = ∫(2²*x + ⅓*2³) dx {2,4}

q = ∫4x + 8/3 dx {2,4}

Integrate with respect to x

q = 2x² + 8x/3 {2,4}

q = (2(4)² + 8(4)/3) - (2(2)² + 8(2)/3)

q = 29.33C

7 0

4 years ago

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Given two linear equations: y=-2x+5 and y=1/2x-2. Select all or one that apply.

Rudiy27

The answer would be Perpendicular.

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4 years ago

Find the focus of the parabola whose equation is y=1/8 x^2

Mama L [17]

Answer:

The focus is: $(0,2)$

Step-by-step explanation:

Given

$y = \frac{1}{8}x^2$

Required

Determine the focus

The focus of a parabola

$(x- h)^2 = 4p(y - k)$

is:

$(h,k+p)$

So, we have:

$y = \frac{1}{8}x^2$

Cross multiply

$8y = x^2$

Rewrite as:

$x^2 = 8y$

Rewrite as:

$(x - 0)^2 = 8(y - 0)$

Express 8 as 4 * 2

$(x - 0)^2 = 4 * 2(y - 0)$

By comparison with: $(x- h)^2 = 4p(y - k)$

$h = 0$ $p =2$ $k = 0$

So, the focus $(h,k+p)$ is:

$(h,k+p) = (0,0+2)$

$(h,k+p) = (0,2)$

7 0

3 years ago