All categories

3 years ago

Please answer this question right now I need your guys help!

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

3 0

Answer:

Slope of parallel: 6

Slope of perpendicular: -1/6

Step-by-step explanation:

y=mx+b

m=slope

Parallel= equals slope

Perpendicular= opposite of the slope

You might be interested in

17.Which of the following is the equation of a line parallel to y-axis?

AlexFokin [52]

Answer:

I think that the answer is a

7 0

2 years ago

PLZ HELP ME WITH THIS I NEED HELP ASAP

ValentinkaMS [17]

Answer:

See below

Step-by-step explanation:

Part A: $125 is constant.

PART B: Earning depends on hour

5 0

3 years ago

I REALLY NEED HELP!!!!!!!

Reil [10]

Do you think the answer is C.147?

3 0

3 years ago

D. You are running a 4500-foot race. How much farther

azamat

Answer:

2500 feet

Step-by-step explanation:

4500 minus 2000 = 2500

7 0

2 years ago

Find, correct to four decimal places, the length of the curve of intersection of the cylinder 4x2 1 y2 − 4 and the plane x 1 y 1

charle [14.2K]

<u>Answer-</u> Length of the curve of intersection is 13.5191 sq.units

<u>Solution-</u>

As the equation of the cylinder is in rectangular for, so we have to convert it into parametric form with

x = cos t, y = 2 sin t (∵ 4x² + y² = 4 ⇒ 4cos²t + 4sin²t = 4, then it will satisfy the equation)

Then, substituting these values in the plane equation to get the z parameter,

cos t + 2sin t + z = 2

⇒ z = 2 - cos t - 2sin t

∴ $\frac{dx}{dt} = -\sin t$

$\frac{dy}{dt} = 2 \cos t$

$\frac{dz}{dt} = \sin t-2cos t$

As it is a full revolution around the original cylinder is from 0 to 2π, so we have to integrate from 0 to 2π

∴ Arc length

$= \int_{0}^{2\pi}\sqrt{(\frac{dx}{dt})^{2}+(\frac{dy}{dt})^{2}+(\frac{dz}{dt})^{2}$

$=\int_{0}^{2\pi}\sqrt{(-\sin t)^{2}+(2\cos t)^{2}+(\sin t-2\cos t)^{2}$

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$

Now evaluating the integral using calculator,

$=\int_{0}^{2\pi}\sqrt{(2\sin t)^{2}+(8\cos t)^{2}-(4\sin t\cos t)$ $= 13.5191$

8 0

3 years ago