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3 years ago

Which of the following lines is perpendicular to the equation given below?

Mathematics

2 answers:

konstantin123 [22]3 years ago

4 0

Answer:

Step-by-step explanation:

x+2y=8x...............

Travka [436]3 years ago

3 0

Answer:

B. x−2y=6

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

The given line is

y = -2x + 8

Perpendicular line to this must have a slope of

- 1/(-2) = 1/2

Option A

2x - y = 12
y = 2x - 12
Slope is 2
No

Option B

x - 2y = 6
2y = x - 6
y = 1/2x - 3

Slope is 1/2
Yes

Option C

x + 2y = 8
2y = - x + 8
y = -1/2x + 4
Slope is -1/2
No

Option D

2x + y = 4
y = -2x + 4
Slope is -2
No

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Need help please on Pre Calculus!!! Directions: verify each identity

Juliette [100K]

You first simplify

tan(x) = cos(x)/sin(x) and cot(x) = sin(x)/cos(x)

Then you plug that in and then you simplify even more

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3 years ago

A cylinder and a cone have the same volume. The cylinder has a radius of 2 inches and a hieght of 3 inches. The cone has a radiu

arlik [135]

The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

Step-by-step explanation:

The given is,

A cylinder and a cone have the same volume

Cylinder has a radius 2 inches and height of 3 inches.

Cone has a radius of 3 inches

Step:1

For Cylinder'

Formula to calculate the volume of cylinder is,

$V = \pi r^{2} h$ ..................................................(1)

where,

r - 2 inches

h - 3 inches

From the equation (1)

= $\pi$ × $2^{2}$ × 3

= 37.70

V = 37.70 cubic inches

Step:2

For cone,

Formula to calculate the volume of cone is,

$V = \pi r^{2} \frac{h}{3}$ ..................................................(2)

From the statement,

cylinder and a cone have the same volume

$V_{cylinder}$ = $V_{cone}$

37.70 = $\pi$ × $3^{2}$ × $\frac{h}{3}$

37.70 = 9.42478 × h

Height of the cone, h = 4 inches

Result:

Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.

4 0

2 years ago

Jenifer needs to purchase a computer for her company price of the computer is c

VladimirAG [237]

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2 years ago

involving flipping a fair coin. Assume that the coin is flipped 9 times. What is the probability that both heads and tails occur

alexgriva [62]

The probability would occur 9 times

7 0

2 years ago

How do you do this question?

Lena [83]

Step-by-step explanation:

The Taylor series expansion is:

Tₙ(x) = ∑ f⁽ⁿ⁾(a) (x − a)ⁿ / n!

f(x) = 1/x, a = 4, and n = 3.

First, find the derivatives.

f⁽⁰⁾(4) = 1/4

f⁽¹⁾(4) = -1/(4)² = -1/16

f⁽²⁾(4) = 2/(4)³ = 1/32

f⁽³⁾(4) = -6/(4)⁴ = -3/128

Therefore:

T₃(x) = 1/4 (x − 4)⁰ / 0! − 1/16 (x − 4)¹ / 1! + 1/32 (x − 4)² / 2! − 3/128 (x − 4)³ / 3!

T₃(x) = 1/4 − 1/16 (x − 4) + 1/64 (x − 4)² − 1/256 (x − 4)³

f(x) = 1/x has a vertical asymptote at x=0 and a horizontal asymptote at y=0. So we can eliminate the top left option. That leaves the other three options, where f(x) is the blue line.

Now we have to determine which green line is T₃(x). The simplest way is to notice that f(x) and T₃(x) intersect at x=4 (which makes sense, since T₃(x) is the Taylor series centered at x=4).

The bottom right graph is the only correct option.

3 0

2 years ago