What is the equation of the line that is perpendicular to y = one-fifth x + 4 and that passes through (5,–4)?

On a coordinate plane, a line goes through (0, 4) and (5, 5). A point is at (5, negative 4).
y = negative 5 x minus 29
y = negative 5 x + 21
y = one-fifth x minus 4
y = one-fifth x minus 5

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{5}[/tex] x + 4 ← is in slope- intercept form

with slope m = [tex]\frac{1}{5}[/tex]

given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{5} }[/tex] = - 5 , then

y = - 5x + c ← is the partial equation

to find c substitute (5, - 4 ) into the partial equation

- 4 = - 25 + c ⇒ c = - 4 + 25 = 21

y = - 5x + 21 ← equation of perpendicular line


Related Questions

Enter an expression that shows the sum of exactly two terms that is equivalent to 6m + 3n + 8m + 5n

Answers

Answer: 14m+8n

Step-by-step explanation:

Simplify the expression

6m+3n+8m+5n

6m+8m+3n+5n

14m+8n

It is the same expression except that it is simplified and contains only 2 terms

This list gives the height of different plants in inches.

10.25, 11.25, 11.00, 10.50, 10.50, 11.00, 10.75, 10.25, 11.00, 10.25, 10.50, 10.75, 10.25, 10.25, 10.50, 11.25, 11.00, 10.75

Create a line plot to display the data.

To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.

Answers

answer

their are 4 10.25 and 4 10.50 and 4 11.00 and 2 11.25 and

Step-by-step explanation:

ok so you just need to put those on the line plot

Nick wanted to determine the length of one blade of a windmill. He stood at a point on the ground 440 feet from the windmill's base. Using surveyor's tools, Nick measured the angle between the ground and the highest point reached by the top blade and found it was 38.8°. He measured the angle between the ground and the lowest point of the top blade and found it was 30°. Determine and state a blade's length, x, to the nearest foot.

Answers

Using the slope concept, it is found that rhe blade's length is of 90 feet.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, the horizontal change is of 440 feet.

At the highest point, the angle is of 38º, hence:

[tex]\tan{38^\circ} = \frac{h_1}{440}[/tex]

[tex]h_1 = 440\tan{38^\circ}[/tex]

[tex]h_1 = 344[/tex]

At the lowetst point, the angle is of 30, hence:

[tex]\tan{30^\circ} = \frac{h_2}{440}[/tex]

[tex]h_2 = 440\tan{30^\circ}[/tex]

[tex]h_2 = 254[/tex]

Hence, the difference is:

[tex]h_2 - h_1 = 344 - 254 = 90[/tex]

The blade's length is of 90 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

List the integers that satisfy both these inequalities.

2x + 9 < 0

x > -12

Answers

Answer:

-5, -6, -7 ,-8, -9, -10, -11

Step-by-step explanation:

4 and one-third divided by 5 and StartFraction 1 over 6 EndFraction

Answers

Answer:

35

Step-by-step explanation:

4+1/3 ÷5=1/6

4+5/3=1/6

Multiply each side by the L.C.M which is 6

24+10+1

35

I NEED HELP ASAP

if p=(-4 7) find ry-axis (p)

Answers

Answer:

4 , 7

Step-by-step explanation:

It worked in my app so... :)

Hello, i am currently having a hard time in school for a while if anybody can help me out it would be greatly appreciated

Answers

Answer:

36 m

Step-by-step explanation:

PT = x

This is True because of similar sides  [tex]\frac{8}{x} = \frac{7}{14}[/tex]

solve for x to get PT and you get 16

Then to find the perimeter you would do P = PR + PR + PT = 6m + 14m + 16m = 36m

Answer:

36 m

Step-by-step explanation:

Line QS = (1/2) Line PT

8 m = (1/2) Line PT

Line PT = 16 m

Perimeter = 3 + 3 + 7 + 7 + 16

P = 36 m

I hope this helps!

The diagram shows a solid shape.
The shape is a hemisphere on top of a cylinder,

Volume of a sphere = 4/3pir^3
Pressure = force/area

The solid shape is placed on a table. The solid exerts a force of 4 Newtons on a table. The pressure on the table is 100 N/m. The height of the cylinder is 45 cm. Work out the total volume of the solid shape.
Please can someone help explain it. ​

Answers

Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]

How to determine the volume of the solid shape under pressure

In this question we must apply the concepts of pressure (P), in newtons per square meter, cross section area (A), in square meters, and volume (V), in cubic meters, to determine that  Let assume that the bottom experiments an uniform pressure due to a reaction force (F), in newtons, from the table, whose formula is described below:

P = F/A = 4 · F /(π · D²)     (1)

If we know that F = 4 N and P = 100 N/m², then the diameter of the cylinder is:

[tex]D = 2\cdot \sqrt{\frac{F}{\pi\cdot P} }[/tex]  

D ≈ 0.226 m²

And the volume of the solid shape is: (H = 0.45 m)

V = 0.25π · D² · H + (π/12) · D³

V = 0.25π · (0.226 m)² · (0.45 m) + (π/12) · (0.226 m)³

V ≈ 0.021 m³ (21073.745 cm³)

Based on given information about pressure from table and geometry of the solid shape, the total volume of the solid shape is approximately 21073.745 cubic centimeters. [tex]\blacksquare[/tex]

To learn more on pressure, we kindly invite to check this verified question: https://brainly.com/question/356585

A right rectangular prism has a length of 6 centimeters a width of 2 centimeters and a height of 5 centimeters what is the surface area of the prism

Answers

it is 2 centimeters I hope that helps and I hope I'm not late

Convert 4 3/5 cups to pints.

Answers

Answer:

2.3 pints

Step-by-step explanation:

4.6 cups = 2.3 pints

Pls pls pls help ill give you whatever :(

Answers

Answer:

4

Step-by-step explanation:

[tex] \sqrt[5]{32^2} = (\sqrt[5]{32})^2 = 2^2 = 4 [/tex]

5/6-1/8 Solve by finding a common denominator

A)30/48
B)34/48
C)38/48
D)42/48

Answers

Answer:

  B)  34/48

Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

__

The difference is ...

  [tex]\dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}[/tex]

__

Additional comment

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

  5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result

__

Using the least common denominator does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.

What is the completely factored form of x4 8x2 – 9? (x 1)(x – 1)(x 3)(x 3) (x 1) (x minus 1) (x squared 9) (x2 – 1)(x 3)(x – 3) (x 1)(x 1)(x 3)(x 3)

Answers

The complete factor of the polynomial expression is (x² + 9)(x – 1)(x + 1), then the correct option is B.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is given as

x⁴ + 8x² – 9

Then by the factorization, we have

x⁴ + 8x² – 9

x⁴ + 9x² – x² – 9

x²(x² + 9) – 1(x² + 9)

(x² + 9)(x² – 1)

(x² + 9)(x – 1)(x + 1)

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:b

Step-by-step explanation:

on edg 2022

Find measure of 2!!!!
Please write the answer quickly- and in degrees!!!!

Answers

92 because it’s the same as angle 7 which is replaced by 92

Which expressions are equivalent to ? Choose all the correct answers. Show your work.

Answers

Answer:

C, D, F

Step-by-step explanation:

Exponent rules:

[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]a^{-n}=\dfrac{1}{a^n}[/tex]

[tex]\dfrac{1}{a^{-n}}=a^n[/tex]

[tex]a^n \cdot b^n=(ab)^n[/tex]

[tex]a^0=1[/tex]

[tex](a^b)^c=a^{bc}[/tex]

[tex]\textsf{A}\quad\dfrac{24^{-3}}{24^{-4}}=24^{-3-(-4)}=24^1=24[/tex]

[tex]\textsf{B}\quad3^{-2} \cdot 8^{-5}=\dfrac{1}{3^2} \cdot \dfrac{1}{8^5}=\dfrac{1}{9} \cdot \dfrac{1}{32768}=\dfrac{1}{294912}[/tex]

[tex]\textsf{C}\quad\left(\dfrac{1}{24^{-7}}\right)^{-1}=\left(24^7\right)^{-1}=24^{-7}[/tex]

[tex]\textsf{D}\quad\dfrac{8^{-7}}{3^7}=\dfrac{1}{8^7 \cdot 3^7}=\dfrac{1}{(8 \cdot 3)^7}=\dfrac{1}{24^7}=24^{-7}[/tex]

[tex]\textsf{E}\quad24^7 \cdot 24^0=24^7 \cdot 1=24^7[/tex]

[tex]\textsf{F}\quad(24^3 \cdot 24^4)^{-1}=\left(24^{3+4}\right)^{-1}=(24^7)^{-1}=24^{-7}[/tex]

HELP! WILL GIVE BRAINLEST! Which statement is accurate for the right triangle shown below?
csc(α) = 0.94
cot(α) = 0.36
sec(α) = 1.06
sec(α) = 0.94

Answers

Answer:

3rd choice: sec(a) = 1.06

Step-by-step explanation:

sec(a) = (hypotenuse)/(adjacent leg)

The statement that is accurate for the right triangle shown below is C. sec(a) = 1.06

What is the accurate statement?

The accurate statement is the one that can help us arrive at the correct angle in the diagram. That is sec(a) = 1.06. The formula is given as follows:

(hypotenuse)/(adjacent)

In the question we have, the hypotenuse is 50 while the adjacent is 47. Note that the hypotenuse is the longest side of the triangle, and the adjacent is often represented by the base.

So, we have;

50/47 = 1.06

Thus to find the angle for alpha in the triangle shown, the right statement would be; sec(a) = 1.06.

Learn more about right triangles here:

https://brainly.com/question/2217700

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The sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 x = 42 x2 2x = 42 x2 x 42 = 0 x2 2x 42 = 0

Answers

The equation is a quadratic equation that is x + x² = 42. Then the correct option is A.

What is Algebra?

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

The sum of a number and its square is 42.

Let x be the number. Then the square of that number will be x².

Then we have

x + x² = 42

More about the Algebra link is given below.

https://brainly.com/question/953809

Answer:

a

Step-by-step explanation:

Julian is a manager at a clothing store for teens. he is analyzing the order for next season. data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5. however, julian thinks the average may have changed due to a recession. he finds that the last three seasons of data show that teens spent an average of $68 on a pair of jeans. therefore, he performed a hypothesis test to see if the recent average is the same. julian used a significance level of 5% to perform the test. which of the following statements is valid based on the results? julian’s data shows that the recent seasons’ average jean price is not $75. julian’s data shows that he should order fewer jeans than before. julian’s data shows that the recent seasons’ average jean price is still $75. julian’s data is inconclusive, so he should order the same number of jeans.

Answers

Julian’s data shows that the recent seasons’s average jeans price is not $75.

Julian is a manager at a clothing store for teens.

He is analyzing the order for next season.

What is the average price?

The average price is the mean price of an asset or security observed over some period of time

data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5.

however, Julian thinks the average may have changed due to a recession.

The answer is A).

Julian’s data shows that the recent seasons’s average jeans price is not $75.

To learn more about the average price visit:

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Answer:

Julian’s data shows that the recent seasons’ average jeans price is not $75.

Step-by-step explanation:

edge 2022

Point JJ is located at (-4,5) on the coordinate plane. Point J is reflected over the x-axis to create point J′. What ordered pair describes the location of J'?

Answers

Answer: (-4, -5) in 3rd Quadrant

Step-by-step explanation: Reflection across x axis only flips the sign of y coordinate

A bag with 12 marbles has 5 red marbles, 3 yellow marbles, and 4 blue marbles. A marble is chosen from the bag at random. What is the probability that it is red?
Write your answer as a fraction in the simplest form.

Answers

The total number of marbles is 12. Because:
5 red marbles + 3 yellow marbles + 4 blue marbles = 12 total marbles.
And there are 5 RED marbles in the special bag . . .
So the probability of a red marble would be 5/12. The reason why is because there are 5 TOTAL RED marbles and there are 12 TOTAL marbles.
Hope this helps!

Instructions: Find the missing side. Round your answer to the nearest tenth

Answers

Answer: x ≈ 8.9 units

Step-by-step explanation:

     We can use trigonometric functions to help us solve this question.

[tex]\displaystyle sin(\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle sin(43)=\frac{x}{13}[/tex]

[tex]\displaystyle 13(sin(43))=x[/tex]

[tex]\displaystyle x= 13(sin(43))[/tex]

[tex]\displaystyle x= 8.86597868[/tex]

[tex]\displaystyle x \approx 8.9[/tex]

what is circles and conditional probability

Answers

Answer:

what you mean about circles but i do know probability

Step-by-step explanation:

conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

PLEASE HELP I WILL GIVE YOU BRAINLEY CROWN

The volume of a rectangular prism is 162 cm
If the height is doubled, what is the new volume?

Answers

Answer:

1296 cm³

Step-by-step explanation:

Given

Volume of original rectangular, V = 162 cm³V = lwh

Solving

Here it is mentioned the height is doubledTherefore, h is now 2hSubstitute in the volume formulaV = lw(2h)³V = 8 x lwhV = 8 x 162V = 1296 cm³

Answer:

1296 cm³

Original Rectangle:

height : H

volume : 162 cm³

New Rectangle:

height : 2H

volume : x   (let it be x)

Solve:

[tex]\rightarrow \sf (\dfrac{H}{2H})^3 = \dfrac{162}{x}[/tex]

[tex]\rightarrow \sf (\dfrac{1}{2})^3 = \dfrac{162}{x}[/tex]

[tex]\rightarrow \sf x = 1296[/tex]

Please help me I am stuck on this problem!!!!

Answers

Step-by-step explanation:

From less value to large value

30 32 33 33 35

Median is the center number = 33

Mean is (30+32+33+33+35)/5 = 32.6

The same value

Consider the function f(x) = x2 + 8x +1. Which equation shows function f written in vertex form?
f() = (x + 8)2 +1
f(x) = (x – 4)²+1
f(x) = (x – 8)² – 17
f()= (x +4)2 - 15​

Answers

Answer:

4th option

Step-by-step explanation:

f(x) = x² + 8x + 1

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 8x

f(x) = x² + 2(4)x + 16 - 16 + 1

    = (x + 4)² - 15 ← in vertex form

ONLY ANSWER IF YOU KNOW THE ANSWER (15 POINTS HELP PLEASE)
CORRECT ANSWER WILL GET BRAINLEST AND LINKS WILL BE REPORTED
THANKS.
A number cube with six sides numbered 1 through 6 is rolled. The probability of rolling a 5 is 1/6.

What is the probability of not rolling a 5?

Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

The probability of all events occurring is 1

(1/6)+p=1

p=1-1/6

p=5/6

The probability of not rolling 5 is 5/6

Or you could have just said there are five numbers other than 5 out of the six so:

5/6

Annual sales for a fast food restaurant are 650000 and are increasing at a rate of 4% per year. Use an exponential function to find the annual sales after 5 years. What is the equation

Answers

A=P(1+r)^2
Principal as 650000
Rate = 4% or 0.04%
Time = 5 years
We are adding because as it is exponentially growth

650000(1+0.04)^5
= 790824.39

Which statistical measure is not strongly affected by a few outliers in the data?.

Answers

Answer:  Median

The median is not affected by large or small outliers.

The mean on the other hand is affected by outliers. The more distant the outlier, the more skewed the mean will be.

For example, home prices will have a larger than normal mean because of very rich mansions which are far above the average group. This is why the median home price is a more useful measure of center.

The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º

Answers

A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.

What is heptagon?

A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."

A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,

[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]

As it is said in the problem that the sum of the all the angles of the heptagon  except one is 776°, therefore, the measure of the last angle of the heptagon is,

The measure of the last angle = 900° - 776° = 124°

Hence, the measure of the final interior angle of the heptagon is 124°.

Learn more about Heptagon:

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Answer:

C. 124

Step-by-step explanation:

E2020

Jesse planted several marigold seeds in his garden and, several weeks later, measured and recorded the height (in centimeters) of each plant. The data is organized in the frequency table shown. Of those planted, how many marigolds are less than 4 cm or more than 10 cm long?

A.) 1

B.) 5

C.) 2

D.) 3

Answers

Answer:

D. 3

Step-by-step explanation:

Look at how many are less than 4cm (1) and how many are more than 10 (2) and add them together (1+2=3)

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