Identify an equation in point-slope form for the line perpendicular to y = - 1/3 * x - 6 that passes through (- 1, 5)
A)y - 5 = 3(x + 1)
B)y - 5 = - 1/3 * (x + 1)
C)y + 5 = 1/3 * (x - 1)
D)y + 1 = 3(x - 5)

Answers

Answer 1

Answer:

A

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}{3}[/tex] x - 6 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{3}[/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}{3} }[/tex] = 3

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 3 and (a, b) = (- 1, 5), thus

y - 5 = 3(x - (- 1)), that is

y - 5 = 3(x + 1) → A


Related Questions

How many places do you need to move the decimal to the right to write the
number below in scientific notation?
0.00000092
A.8 B.7 C.2 D.6

Answers

Answer:

Step-by-step explanation:

For a number to be written in standard form, it must be in a format

A×10^n

Now, n can be positive or negative, i.e n is an integer

Also, A must be between 0 and 10. It must not be outside those number

i.e 0<A<10

Therefore, to answer the question

0.00000092

The point will start to move for the negative and it will stop after the first number

If it is moving rightward, n is negative.

if it is moving leftward, n is positive

So,

9.2×10^-7 is the answer.

Then the answer is B

n=7 it moves 7 time to get to 9.2

Answer:

B.7

Step-by-step explanation:

The range of scientific notation is

0.9999999 to 9.999999999

Albert rode to the park at 12 mph and then back home at 20 mph. If the round trip took 4 hours and it is 30 miles each way, how long did the ride to the park take?

Answers

Answer:

It took Albert 2 1/2 hours to ride to the park

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Speed of Albert to the park = 12 mph

Speed of Albert back home = 20 mph

Total time of the round trip = 4 hours

Distance each way = 30 miles

2. How long did the ride to the park take?

Let's recall that the formula of speed is:

Speed = Distance/Time, therefore Time = Distance/Speed

Time it took Albert to ride to the park = 30/12

Time it took Albert to ride to the park = 5/2 = 2 1/2 hours

Time it took Albert to ride back home = 30/20

Time it took Albert to ride back home = 3/2 = 1 1/2 hours

It took Albert 2 1/2 hours to ride to the park

If you invested $500 at 5% simple interest for 2 years, how much interest do you earn? Show work and answer in complete sentences to earn full credit.




If you invest $500 at 3% compounded monthly for 2 years, how much interest you do earn? Show work and answer in complete sentences to earn full credit.




Which would you rather do?

Answers

Answer:

i) $500 at 5% simple interest for two years.

   Interest = 550 - 500 = $50

ii) $500 at 3% compounded monthly for 2 years.

   Interest = 530.88 - 500 = $30.88

I would take the first option i)$500 at 5% simple interest for two years.

Step-by-step explanation:

i) $500 at 5% simple interest for two years.

  Initial amount, P = $ 500

  Rate of interest, r = 0.05

  Time in years, t = 2

 Therefore Final amount A = P(1 + rt) = 500(1 + (0.05  2) ) = $550

  Therefore Interest = 550 - 500 = $50

ii) $500 at 3% compounded monthly for 2 years

   Initial or Principal Amount, P  = $500

   Rate of interest, r =0.03

   number of conversions, m = 12

    Time in years, t = 3

 Therefore final amount,   = $530.88

Therefore Interest = 530.88 - 500 = $30.88

I would take the first option i) $500 at 5% simple interest for two years.

What is the measurement of Complement of 33°

Answers

Answer:

The complement of 33 is the angle that when added to 33 forms a right angle

Step-by-step explanation:

it is un needed for a explanation

The stock of Company A gained 4% today to $47.84. What was the opening price of the stock in the beginning of the day?

Answers

Answer:

46

Step-by-step explanation:

47.84 / 1.04, which is 46

The opening price of Company A's stock before the 4% increase to the closing price of $47.84 was $46.00.

To calculate the opening price of Company A's stock at the beginning of the day, before the 4% gain, we need to work backwards from the closing price. Since the stock closed at $47.84 after gaining 4%, we can represent the closing price as 104% of the opening price. Thus, the equation to find the opening price (OP) is:

OP x1.04 = $47.84

Now we solve for OP:

OP = $47.84 / 1.04

OP = $46.00

The opening price of Company A's stock at the beginning of the day was $46.00.

160 dogs,there are 17 trucks each truck can hold 9 dogs.how much trucks you will need to hold 9 dogs in each truck?​

Answers

Answer:

160-153=7 dogs

you will need 1 more truck to hold 160 dogs

Step-by-step explanation:

1 truck=9 dogs

9x17=153 dogs

160-153=7 dogs

you will need 1 more truck to hold 160 dogs

Please help me on this I’m super stuck

Answers

Answer:

BC = 3.1666

Step-by-step explanation:

To solve this you need to know that cosine∅ = adjacent/hypotenuse. We already know that hypotenuse = 5 and that ∅ = 70*. By substituting these in you will get cosine 70* = adjacent/5. Evaluate cosine 70* on the calculator and get 0.633... Multiply both sides by 5 and get adjacent is about equal to 3.1666. Because BC is the adjacent side of the triangle, this is the length of BC.

What is the answer to 5(1 + 5n)

Answers

Answer: 5 + 25n

Explanation: Let's simplify this problem using the distributive property.

In this problem, the 5 "distributes" through the parentheses which means that it multiplies by each of the terms inside.

So we have 5(1) + 5(5n) which simplifies to 5 + 25n.

Is y=15/x a linear function

Answers

Answer:

NO

Step-by-step explanation:

Final answer:

The equation y = 15/x is not a linear function. A linear process follows the form y = a + bx and graph as a straight line. The given equation doesn't track that form or behavior; hence, it is not linear.

Explanation:

No, the equation y = 15/x is not a linear function. In Mathematics, a linear function is defined by the equation y = a + bx, where a is the y-intercept, b is the slope, x is the independent variable, and y is the dependent variable. In this equation, the relationship between x and y is direct, meaning if x increases or decreases, y will also increase or decrease at a constant rate.

However, in the equation y = 15/x, the relationship between x and y is inverse. If x increases, y decreases, and vice versa. Furthermore, the form of the equation doesn't follow the standard form of a linear equation (y = a + bx) because the x variable is in the denominator. Therefore, it is not linear because it will not graph as a straight line.

Learn more about Linear Functions here:

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Due to a slump in the economy a mutual fund has dropped by 30% from last year to this year. If the fund is now worth $13,902, how much was the fund last year?

Answers

Answer: The Fund last year was 19,860

Step-by-step explanation:

Just set up a ratio using 70 over 13902 and set it equal to 100 over x and cross multiply to get x = 19,860

The equation 3y=5x represents a proportional relationship. what is the constant of proportionality for this relationship

Answers

The constant of proportionality for this relationship is  [tex]\frac{5}{3}[/tex]

Step-by-step explanation:

Proportional relationship is the relation between two variables that vary directly with each other

If x and y are proportion, then y = k x, where k is the constant of proportionalityIf x and y are proportion, then [tex]\frac{y}{x}=k[/tex], where k is the constant of proportionality

∵ The equation is 3 y = 5 x

∵ x and y are proportional

- That means y = k x, where k is the constant of proportionality

∴ Put the equation in the form y = k x

- Divide both side by the coefficient of y

∵ The coefficient of y is 3

∴ Divide both sides of the equation by 3

∴ y = [tex]\frac{5}{3}[/tex] x

-  The value [tex]\frac{5}{3}[/tex]  is constant

∴ k =  [tex]\frac{5}{3}[/tex]

∵ k represents the constant of proportionality

∴ The constant of proportionality =  [tex]\frac{5}{3}[/tex]

The constant of proportionality for this relationship is  [tex]\frac{5}{3}[/tex]

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a recycling plant processes an average of 1/3 ton of glass each minute.At approximately what rate does the recycling plant process glass,in tons per day?

Answers

Answer:

480 tons

Step-by-step explanation: You have to figure out how many minutes are in 24 hours. (1440 min) Then, you multiply 1440 x 1/3.

Answer:

the answer is 480

Step-by-step explanation:

it is common sense but in your case it is uncommon sense

Mofor’s school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 6 student tickets for a total of $96. The school took in $202 on the second day by selling 8 senior citizen tickets and 13 student tickets. Find the price of a senior citizen ticket and the price of a student ticket.

Answers

Answer:

Senior citizen tickets = 9

Student tickets = 10

Step-by-step explanation:

We begin by converting the question into simultaneous linear equations;

Senior citizen tickets = a

Student tickets = b

4a + 6b = 96

8a + 13b = 202

to find a,

if 4a +6b = 96

a = 96/4 - 6b/4

a = 24 - 1.5b

We now substitute this into the second equation

8(24 - 1.5b) + 13b = 202

192 - 12b + 13b = 202

b = 202 - 192

b = 10

We now put the value of b in either equation

4a + 6b = 96

4a + 6(10) = 96

4a + 60 = 96

4a = 96 - 60

4a = 36

a = 9

What is an written expression for 20+5×9

Answers

Answer:

Five times nine plus twenty

Step-by-step explanation:

Just remember the order of operations... multiplication and division are done first before adding and subtracting.

Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. Write an expression that represents the total amount of money Sabra spends on both clubs after m months. Then enter the simplified expression in the boxes.
+
m

Answers

Simplified expression for total amount spent is 10(2.05 + m)

Step-by-step explanation:

Step 1: Write expression for expense on joining cooking club for m months.

Expense = 8.50 + 6.25 × m

Step 2: Write expression for expense on joining movie club for m months.

Expense = 12 + 3.75 × m

Step 3: Calculate the total amount spent on both clubs

Total Amount = 8.50 + 6.25m + 12 + 3.75m = 20.5 + 10m = 10(2.05 + m)

Sabra spends a total amount represented by the simplified expression 20.50 + 10m after m months on both the cooking and movie clubs.

To find the total amount of money Sabra spends on both clubs after m months, we need to consider the costs of joining each club and the ongoing monthly fees.

Sabra's cooking club costs $8.50 to join and $6.25 per month. This can be represented by the expression:

8.50 + 6.25m

Sabra's movie club costs $12 to join and $3.75 per month. This can be represented by the expression:

12 + 3.75m

To find the total amount spent on both clubs, we sum these expressions:

(8.50 + 6.25m) + (12 + 3.75m)Simplifying this expression, we get:20.50 + 10m

So, the total amount of money Sabra spends on both clubs after m months can be expressed as 20.50 + 10m

What is the value of y if formula is 4/5

Answers

The value of y is equal to 2.

Step-by-step explanation:

The complete question:

What is the value of y in the formula shown when x = [tex]\dfrac{4}{5}[/tex] ?

[tex]y=\dfrac{4}{x}+\sqrt{x+0.2}-5x[/tex]

We have,

[tex]\dfrac{4}{x}+\sqrt{x+0.2}-5x[/tex]       ...... (1)

To find, the value of y = ?

Put x = [tex]\dfrac{4}{5}[/tex] in equation (1), we get

[tex]y=\dfrac{4}{\dfrac{4}{5}}+\sqrt{\dfrac{4}{5}+0.2}-5(\dfrac{4}{5})[/tex]

[tex]=5+\sqrt{0.8+0.2}-4[/tex]

[tex]=1+\sqrt{1}[/tex]

= 1 + 1

= 2

Thus, the value of y is equal to 2.

1. What is the solution to the equation -5(s - 30) = -10?

Answers

Answer:

s = 32

Step-by-step explanation:

-5(s - 30) = -10

-5s + 150 = -10

-5s = -10 - 150

-5s = -160

s = -160/-5

s = 32

Each of the four sides of a swimming pool measures 12 meters the pool is 6 meters deep how much water will be needed to fill it completely

Answers

It will need 864 meters³ of water to fill it completely

Step-by-step explanation:

The formula of the volume of a prism is V = B h, where

B is the area of its baseh is the length of its height

The swimming pool is shaped a prism

∵ The length of each side of the four sides is 12 meters

- That means its base is shaped a square with side length 12 meters

∵ Area of a square = (side)²

∴ The area of the base of the swimming pool = (12)² = 144 meters²

∴ B = 144

∵ The pool is 6 meters deep

- That means its height is 6 meters

∴ h = 6

The volume of the water in the swimming pool is equal to the volume of the swimming pool because it will be needed to fill completely

∴ The volume of the water = B h

∴ The volume of the water = 144(6)

∴ The volume of the water = 864 meters³

It will need 864 meters³ of water to fill it completely

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What is the equation of a line through the points (0, 9) and (3, 0)?
because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9 because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 3 because m = StartFraction 3 minus 0 Over 0 minus 9 EndFraction; y = negative one-third x + 9
because m = StartFraction 3 minus 0 Over 0 minus 9 EndFraction; y = negative one-third x + 3 Mark

Answers

Answer:

  m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

The given points are the y-intercept and the x-intercept, so they can be used directly in the intercept form of the equation of a line.

  x/(x-intercept) +y/(y-intercept) = 1

  x/3 +y/9 = 1

Multiplying by 9 gives ...

  3x +y = 9

This can be rearranged to the slope-intercept form ...

  y = -3x +9

_____

The answer selection shown above is the only one that matches the slope and y-intercept of the line through the given points.

Answer:

because m = StartFraction 9 minus 0 Over 0 minus 3 EndFraction; y = –3x + 9

Step-by-step explanation:

A teacher wrote the equation 3y + 12 = 6x on the board. For what value of b would the additional equation 2y = 4x +
b form a system of linear equations with infinitely many solutions?
b= -8
b=-4
b = 2
b= 6

Answers

Answer:

The answer A) b=-8

Step-by-step explanation:

Answer:

b = -8

Step-by-step explanation:

Which of the following pairs of numbers contain like fractions?
6/7 and 1 5/7
3/2 and 2/3
5/6 and 10/12
3 1/2 and 4 3/4

Answers

Answer:

6/7 and 1 5/7

Step-by-step explanation:

Answer:

6/7 and 1 5/7

5/6 and 10/12= 5/6

The area of a right triangle is 315 square meters. The height of the right triangle is 15 meters. What is the length of the hypotenuse of the right triangle rounded to the nearest meter? No points given without showing your work.

Answers

Answer:

45 metres

Step-by-step explanation:

You have to get the base to answer the question.

Do this by dividing 315 by 15 then timesing by 2

You get 42.

Do 42^2 = 1764

Do 15 ^2 = 225

Because you want the hypotenuse you add them

1764 + 225 =1989

Do the square root of 1989 which is 45 to the nearest metre

Answer:

25.80

Step-by-step explanation:

Area = 315 [tex]m^{2}[/tex]

Area = l*b

315 = 15 *b

b= 315/15

b = 21

From Right angled Triangle ,

Hypotenuse square = side square + side square

[tex]x^{2}[/tex] = [tex]21^{2}[/tex] + [tex]15^{2}[/tex]

[tex]x^{2}[/tex] = 441 + 225

[tex]x^{2}[/tex] = 666

apply sq root on both sides, the we get

[tex]\sqrt{x^{2}} = \sqrt{666}[/tex]

x= 25.80

Find the area of the figure.
triangle with base 27.5 m and height 4.8 m

Answers

Answer:66

Step-by-step explanation:

27.5x4.8/2

Answer:

66 meters squared

Step-by-step explanation:

You multiply 27.5 and 4.8. Which gets you 132. And because your finding the area of a triangle you have to divide 132 by 2 which gets you 66.

8 1/9-6 7/9

Show how you got the answer

Answers

Answer:

7 10/9 - 6 7/9

1 4/9

Step-by-step explanation:

the denominator stays the same

Change the FIRST fraction to an improper mixed fraction

then keep the denominators the same and subtract the numerators

subtract the whole numbers

If the circumference of each tire on a vehicle is approximately 88​ in., how many miles will the vehicle travel when the tires make
23
23​,000 ​revolutions?

Answers

Answer:

31.94 miles

Step-by-step explanation:

we know that

The circumference of a tire represents the distance traveled by the vehicle in one revolution

so

by proportion

Find out the distance traveled by the vehicle in 23,000 revolutions

[tex]\frac{88}{1}\ \frac{in}{rev}=\frac{x}{23,000}\ \frac{in}{rev}\\\\x=88(23,000)\\\\x=2,024,000\ in[/tex]

Convert inches to miles

Remember that

[tex]1\ mile=63,360\ inches[/tex]

To convert inches to miles divided by 63,360

therefore

[tex]2,024,000\ in=2,024,000/63,360=31.94\ miles[/tex]


Reflecting the graph of y = sinx across the y-axis is the same as reflecting it across
the x-axis.​

Answers

Answer:

The statement is true.

Step-by-step explanation:

Given : Reflecting the graph of y = sin x across the y-axis is the same as reflecting it across the x-axis.

To find : Is this statement true or false?

Solution:

Rules of reflection :

Along across y-axis if we have a point

So, y=sinx

The reflection across y-axis→ .......[1]

Along across x-axis if we have a point

so, y=sinx

The reflection across x-axis →  .....[2]

Hence, [1] and [2] both of them are equal

Therefore, the statement is true.

Answer:

The answer is true for A P E X

Step-by-step explanation:

From a group of 5 candidates, an environmental committee of 3 people is selected. How many different committees are possible?

Answers

Therefore possible committees are [tex]^5C_3[/tex] =10

Step-by-step explanation:

Given , from a group of 5 candidates , an environmental committee of 3 people is selected.

Therefore possible committees are [tex]^5C_3[/tex] =10

what is the area of the composite figure? Use 3.14 for π​

Answers

Answer:

80.52

Step-by-step explanation:

For triangle it is

100-36=64 Root 64=8

24cmsquared

for the half cirlce it is

18pie=56.52

Mariela bought 15 pounds of birdseed for $10.00. Mark bought 12 pounds of birdseed for $8.00. Daryl bought 18 pounds of birdseed for $12.00. If the cost per pound remains the same, what should be the cost of one pound of birdseed?

Answers

Answer:

The cost for one pound of birdseed is $0.67

Step-by-step explanation:

Use Mariela's example first

To find the cost per pound, get the pounds to 1.

15 pounds = $10.00       Divide both sides by 15 to get 1 pound

1 pound = $0.67  

Use Mark's example to see if it is the same rate

12 pounds = $8.00   Divide both sides by 12 pounds to get one pound

1 pound = $0.67

Use Daryl's example to prove the other answers

18 pounds = $12.00    Divide both sides by 8 pounds to get one pound

1 pound = $0.67

The answer is o.68 not 0.67

8
Factor x2 + 12x + 35.
x2 + 12x + 35 =

Answers

Answer:

(x + 7) (x + 5)

Step-by-step explanation:

Factor the following:

x^2 + 12 x + 35

The factors of 35 that sum to 12 are 7 and 5. So, x^2 + 12 x + 35 = (x + 7) (x + 5):

Answer: (x + 7) (x + 5)

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Which is often more predictive of the client's success than the characteristics of his or her illness? Marilyn Mallinson invested $30000, part at 6% annual interest and the rest at 7.5% annual interest. Last year she earned $1995 in interest. How much money did she invest at each rate? A multiple-step income statement is thought to be more beneficial to financial users because of the revelation of important relationships. Which of the following is not separately identified on a multiple-step income statement?A. Gross profitB. Net incomeC. Income taxesD. Total costs and expenses b=2.35 + 0.25xc=1.75+0.40xIn the equations above,b and c represent the price per pound,in dollars, of beef and chicken,respectively,x weeks after July 1 of last summer.What was the price per pound of beef when it was equal to the price per pound of chicken?A.2.60B.2.85C.2.95D.3.35 All strains of human papillomavirus (HPV) are capable of integrating their double-stranded DNA viral genome into host basal cells while waiting for keratinocyte differentiation before initiating viral replication for virion shedding. As a consequence of the integrated genome, HPV strains that more readily transform host cells are more likely to cause an increased expression of viral ________.a. tumor suppressor genes.b. oncogenes.c. lytic genes.d. lysogeny genes. The production plant for Ace Manufacturing has been located in the same place for over 100 years. It has just completed its new factory, which includes its new corporate offices. The planning required for moving Ace into a new facility is a single-use plan. (True/False)TRUE OR FALSE Four research teams each used a different method to collect data on howfast a new brand of paint dries. Assume that they all agree on the sample sizeand the sample mean (in minutes). Use the confidence level; confidenceinterval) pairs below to select the team that has the smallest samplestandard deviation.OA. Confidence Level: 99.7%; Confidence Interval: 42 to 48B. Confidence Level: 95%; Confidence Interval: 40 to 50OC. Confidence Level: 95%; Confidence Interval: 35 to 55D. Confidence Level: 68%; Confidence Interval: 44.5 to 45.5 Read and choose the option with the correct possessive adjective missing in the blanks to complete the sentences.Hola, buenas tardes, eres scar. Son la seora Tina y el seor Pedro ________ bisabuelos?Hola, s, ellos son deportistas. Tienes bisabuelos t?No, pero mi amiga Miguelina s. ________ bisabuela tiene 100 aos!tu; Sustus; Sustus; Sutu; Su If a solution is hypotonic, it will cause the cell to swell.a. No, the ions will evenly distribute themselves between the surrounding solution and the inside of the cell. b. Yes, the solution is hypotonic, causing the cell to burst. c. No, the solution is isotonic. d. Yes, the solution is hypertonic, causing the cell to swell. Why was King Louis XVI important Gina and Rhonda work for different real estate agencies. Gina earns a monthly salary of $5,000 plus a 6% commission on her sales. Rhonda earns a monthly salary of $6,500 plus a 4% commission on her sales. How much must each sell to earn the same amount in a month?A $750,000B $75,000C $15,000D $1,500 James Madison English test grade 12 lesson 1 At an astronomical conference, an astronomer gives a report on a star that has recently begun to interest astronomers because of hints that it may have a planet around it. In his report the astronomer gives the average speed with which this star is moving away from the Sun. How did the astronomer measure this speed?By looking at the Doppler shift in the lines of the star's spectrum. T/F The main purpose of security training courses is to rapidly train students in one or more skills, or to cover essential knowledge in one or more specific areas. What words can you spell isotherm periodic table All of the following are examples of history's sister disciplines EXCEPT What other system does the circulatory system work with? Consider the function f(x)=2x6. If f1(x) is the inverse function of f(x), find f1(4). A cone has a height of 7 ft and a radius of 4 ft. Which equation can find the volume of the cone?V = one-third pi (7 squared) (4) feet cubedV = one-third pi (4 squared) (7) feet cubedV = 3 pi (7 squared) (4) feet cubedV = 3 pi (4 squared) (7) feet cubed 3.10 What will be the amount accumulated by each of these present investments? (a) $5,000 in 5 years at 7% compounded annually. (b) $7,250 in 15 years at 9% compounded annually. (c) $9,000 in 33 years at 6% compounded annually. (d) $12,000 in 8 years at 5.5% compounded annually.