Find the exact arc length of the given arc. show all work and leave terms of pi and reduce your fraction.

my answer is in the image above

Answer:

y=1/3x+7

Step-by-step explanation:

Hi there!

We're given the equation x-3y=21 and we want to find the equation of the line parallel to x-3y=21 that passes through (-6,5)

Parallel lines have the same slopes, but different y intercepts

So we need to find the slope of x-3y=21

To do that, we can convert x-3y=21 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

We'll need to isolate y onto one side

subtract x from both sides

-3y=-x+21

divide both sides by -3

y=1/3x-7

1/3 is in the place where m is, so 1/3 is the slope of the line

it's also the slope of the line parallel to x-3y=21

here's the equation of the line parallel to x-3y=21 so far:

y=1/3x+b

we need to find b

as the line passes through (-6,5), we can use it to solve for b

substitute -6 as x and 5 as y

5=1/3(-6)+b

multiply

5=-2+b

add 2 to both sides

7=b

Substitute 7 as b into the equation

y=1/3x+7

Hope this helps!

Answer:

x= -2

y= -2

Step-by-step explanation:

y = 8x + 14

y = x

Now by subtraction of these two equation,

So 0 = 7x + 14

x = -2

y = -2

Answer:

Slope = 4.5

Step-by-step explanation:

We need to find the slope of a line through the points (0,0) and (2, 9).

We know that, the slope of a line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have, x₁ = 0, x₂ = 2, y₁ = 0 and y₂ = 9

Put all the values,

[tex]m=\dfrac{9-0}{2-0}\\\\m=4.5[/tex]

So, the slope of the line is 4.5.

Step-by-step explanation:

Refer Fig 1 as attached

1a. angle a = angle b = 25°

AM = 8 x cos 35° = 6.553

so AB = AM x 2 = 13.1

1b. Area of sector OAB / Area of the circle

= 130 / 360

Area of sector OAB = 8x8xpi x 130/360

= 23pi

1c. Area OAB = 2 X ( AM x OM) /2 = AM x OM

OM = AM x tan (angle a) = 13.1 x tan 25°

= 6.109

so Area OAB = 6.553 x 6.109 = 40.03

1d. Area of the minor segment

= Area of sector OAB - Area of triangle OAB

= 23pi - 40.03

= 32.23

2, 3 Please refering the approach as above to find the answers

4. Refer Fig 2 as attached

a = 3

the cord is 3 cm from the centre

5. Repeat the approach of 4 above please.

Answer:

If the x^3 term is positive (which it is) it will look like this.

Step-by-step explanation:

Answer:

x = 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 30°

Opposite Leg = 7

Hypotenuse = x

Step 2: Solve for x

Answer:

x = 14

Step-by-step explanation:

Given :-

Solution :-

Since, it's right triangle we can use trignometery equations;

In this case we need to use sine equation.

sin θ = opposite side / hypotenuse

plug the values

sin 30° = 7 / x.

cross multiplication

x = 7 / sin 30°

Evaluate

x = 7 / 0.5

x = 14

Answer:

D

Step-by-step explanation:

its just rabdom numbers

Answer:

D thats just a number no sequence or any thing

Step-by-step explanation:

Answer:

the average probability of all possible outcomes of a future event occurring, weighted by each possible outcome individually

Step-by-step explanation:

An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).

This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.

In Statistics, an expected value can be defined as the average probability of all possible outcomes of a future event occurring in an experiment, weighted by each possible outcome individually. Thus, an expected value in theory refers to the outcome an individual expect to obtain from an experiment in the long-run.

Mathematically, an expected value can be calculated by summing the products of each distinct outcome and their probability respectively.

Answer:

x:x = 1 so it is a natural number

Step-by-step explanation:

it can be any negative number because: -x<9

and any number from 1 to 8

(x cannot be 0, because you cannot do 0/0 = 1)

Answer:

234

Step-by-step explanation:

182/7= 26 9x26=234

why is there a minimum number of characters needed

Answer: x=pi/8+npi    and x=5pi/8+npi

Step-by-step explanation:

Answer:

Fragrant Fields Greenhouse sold 24 rose bushes.

Step-by-step explanation:

We know that:

1 rose bush = $19.90

And last weekend, the company ended up making $477.60 on rose bushes.

An equation that can represent this situation is:

19.90x = 477.60

To find x, divide:

477.60 ÷ 19.90 = 24

CHECK IT:

19.90(24) = 477.6

That is also $477.60, in terms of money

THEREFORE, the company sold 24 rose bushes.

Hope this helps!

Answer:

yes

Yes; the graph passes the vertical line test.

Step-by-step explanation:

if it were a graph of a circle it would not pass

the vertical line test because the vertical line would touch at least 2 points

graph is probably a cubic function

something like

y = x^3-4x+6

There are two pints per quart

3 q * 2 p/qt = 6 pints needed

6 pint /1.5 pint/container = 4 containers

Answer:

0.77

Step-by-step explanation:

Given that:

P(A) = 0.64

P(B) = 0.25

P(AnB) = 0.12

Probability that customer buys either pet or baby supplies ; P(AuB)

P(AuB) = P(A) + p(B) - p(Ann)

P(AuB) = 0.64 + 0.25 - 0.12

P(AuB) = 0.77

Answer: 24 yards

Step-by-step explanation:

Answer:

it's 5 sides

Step-by-step explanation:

I hope this helps

Answer:

5 sides

Step-by-step explanation:

12.5÷2.5=5

therefore the answer is 5

Answer:

(2x)^2 the answer is option a

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.

What is Skew lines definition?

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel. As this property does not apply to skew lines, hence, they will always be non-coplanar and exist in three or more dimensions.

Skew Lines Example

In real life, we can have different types of roads such as highways and overpasses in a city. These roads are considered to be on different planes. Lines drawn on such roads will never intersect and are not parallel to each other thus, forming skew lines.

Skew Lines in 3D

Skew lines will always exist in 3D space as these lines are necessarily non-coplanar.

In the figure given below 'a' and 'b' are skew lines.

Therefore, skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.

To learn more about skew lines visit:

https://brainly.com/question/2603508.

#SPJ2

Answer:

O D. Lines that do not intersect and are in the same plane

Step-by-step explanation:

Credit to person above for explaining,

Hope it helps!

Answer:

The given equations are;

x = (a + b)²

y = a² + 2·a·b + b²

z = a² + b² - 2·a·b

(a) The numerical coefficients of z terms are

1, 1, -2

The sum of the numerical coefficients = 1 + 1 - 2 = 0

(b) y + z is found by substituting the values of 'y' and 'z', in the expression y + z, as follows;

y + z = a² + 2·a·b + b² + a² + b² - 2·a·b = 2·a² + 2·b²

y + z = 2·a² + 2·b²

y - z = a² + 2·a·b + b² - (a² + b² - 2·a·b) = 4·a·b

(c) Given that a = 3, and b = -2, we have;

x = (a + b)² = a² + a·b + a·b + b² = a² + 2·a·b + b² = y

Therefore, x = y, for all values of 'a', and 'b'

Step-by-step explanation:

Answer:

∠ J = 71°

Step-by-step explanation:

Given that the triangles are congruent then corresponding angles are congruent, so

∠ H = ∠ Y  = 38°

Since GH = JH then Δ GHJ is isosceles and the 2 base angles are congruent

∠ J = [tex]\frac{180-38}{2}[/tex]= [tex]\frac{142}{2}[/tex] = 71°

Answer:

??????????

Step-by-step explanation:

Answer:

need more clarification

Step-by-step explanation:

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Answer:

2p + 9 = 3

2p = 3 - 9

2p = -6

p = -6/2

p = -3

Answer:

9y

Step-by-step explanation:

Here, we want to have a mathematical representation

the product of 9 and a number y means we have to multiply 9 by the number y as follows;

= y * 9 = 9y

Answer:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Step-by-step explanation:

Given

[tex]\log_5(\frac{x}{4})^2[/tex]

Required

The equivalent expression

To do this, we apply the following law of indices:

[tex]\log_a(b)^c = c\log_a(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(\frac{x}{4})[/tex]

To further simplify:

[tex]\log(\frac{a}{b}) = \log(a) - \log(b)[/tex]

So, we have:

[tex]\log_5(\frac{x}{4})^2 = 2(\log_5(x) - \log_5(4))[/tex]

Open brackets

[tex]\log_5(\frac{x}{4})^2 = 2\log_5(x) - 2\log_5(4)[/tex]

Answer:

C.

Explanation:

Edge 2021

Answer:

Step-by-step explanation:

52 + 27 = angle 1 (sum of two interior opposite angle is equal to the exterior angle formed)

79 = angle 1

angle 2 + 71 = 92 degree (sum of two interior opposite angle is equal to the exterior angle formed)

angle 2 = 92 - 71

angle 2 = 21 degree