What is the equation of the line perpendicular to y = -x+6 that passes through the
2
point (4, 1)?

Answers

Answer 1

Answer:

[tex]y=x-3[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 1/2 and -2, etc.)

1) Determine the slope (m)

[tex]y = -x+6[/tex]

Looking at the given line, we can identify clearly that -1 is in the place of m, making it the slope of the line. Because perpendicular lines have slopes that are negative reciprocals of each other, we know that the slope of the line we're solving for is 1. Plug this into [tex]y=mx+b[/tex]:

[tex]y=x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=x+b[/tex]

Plug in the given point (4,1)

[tex]1=4+b[/tex]

Subtract 4 from both sides

[tex]1-4=4+b-4\\-3=b[/tex]

Therefore, the y-intercept is -3. Plug this back into [tex]y=x+b[/tex]:

[tex]y=x-3[/tex]

I hope this helps!


Related Questions

A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to the nearest tenth. The perimeter is about yards.

Answers

Answer:

75.4yd

Step-by-step explanation:

Find the diagram attached

Perimeter of the figure = perimeter of the 4 semicircles

Perimeter of a semicircle = πd/2

d is the diameter of the semicircle = 12yd

Perimeter of a semicircle = 3.14(12)/2

Perimeter of a semicircle = 37.68/2

Perimeter of a semicircle = 18.94yd

Perimeter of the 4 semicircles = 4 * 18.94

Perimeter of the 4 semicircles = 75.36yd

Hence the perimeter of the swimming pool to nearest tenth is 75.4yd

Find the volume of the cylinder. Round your answer to the nearest tenth.

Answers

Answer:

87.9

Step-by-step explanation:

I searched it up

i know your looking at this plz just answer this i need help i will give brainlist and 5.0 and say thanks

Answers

Answer:

Bottom right corner answer

Find the measure of a

Answers

Answer:

104 degrees

Step-by-step explanation:

The whole shape will come to 360 degrees, so if you add 126 degrees and 26 degrees it will come to 152 degrees. You then subtract 152 degrees fro. 360 degrees, this will give you 208 degrees. Then you divide 208 degrees by 2 that results in 104 degrees. So 104 degrees is the answer.

Oliver interviewed 30% of the 9th grade class and 70% of the 10th grade class at his school. Jenny interviewed 75% of the 9th grade class and 25% of the 10th grade class at the same school. Oliver interviewed a total of 176 students and Jenny interviewed 140 students.

A. 36
B. 80
C. 120
D. 200

Answers

Answer:

A. 36

Step-by-step explanation:

We are given a total of 176 interviewed by Oliver and a total of 140 interviewed by Jenny. To find how many more 10th graders than 9th graders were interviewed, subtract the totals given

176 - 140 = 36

This is how we came to the answer:

We are given 70% of the 10th-grade and 30% of the 9th-grade with a total of 176 for Oliver.

While we're given 75% of the 9th-grade class and 25% of the 10th-grade with a total of 140 interviewed by Jenny

Oliver's Interviewees

10-graders

Firstly, let's find what the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

70% of 176 =

Cross multiply

123.2 were 10-graders interviewed by Oliver

9th-graders

Now, to find the number of 9th-graders was interviewed by Oliver; find the percentage of the 9th-graders by the total;

30% of 176 =

 

Cross multiply

52.8 were 9th-graders interviewed by Oliver

Jenny's Interviewees

9th-graders

Firstly, let's find what the number of 9th-graders was interviewed by Jenney; find the percentage of the 9th-graders by the total;

75% of 140 =

 

Cross multiply

105 students were 9th-graders interviewed by Jenney.

10th-graders

Now, to find the number of 10th-graders was interviewed by Jenney; find the percentage of the 10th-graders by the total;

25% of 140 =  

 

Cross multiply  

35 students were 10th-graders interviewed by Jenney.  

Total calculation

Use the results and sum them up by 9th-grade plus 9th-grade and 10th-grade plus 10-grade. Then subtract the amount gotten from 9th-grade away from the amount gotten from 10th-grade;

Oliver's 9th-grade = 52.8

Jenny's 9th-grade = 105

105 + 52.8 = 157.8

Oliver's 10th-grade = 123.2

Jenny's 10th-grade = 35

123.2 + 35 = 158.2

Total calculation: 158. 2 - 157.8 = 0.4

Therefore, there are 36 more 10th than 9th.

For more information, visit: https://brainly.com/question/23490909

What is the greatest common factor (GCF) of the polynomial
below.
12x3 + 4x2 – 8x

Answers

Answer:

The greatest common factor is 4

Step-by-step explanation:

1)     12x3+4x2-8x

2)    (12x3)+(4x2)-8x

3)     36+(4x2)-8x

4)     36+8-8x

5)     44-8x

6)     4(11-2x)

Which of the following is an example of replication?

A. Assigning test subjects to test groups arbitrarily
B. Studying the effects of both therapy and no therapy on students
C. Performing five different studies of the same drug
D. Testing patients by giving them either a new drug or no drug

Answers

Answer:

Step-by-step explanation:

What are the ordered pairs of the
solutions for this system of equations?
f(x)=x^2 – 2x + 3; f(x) = -2x + 19

(4, [?]); ([ ], [])

Answers

Answer:

(4, 11) is one ordered pair  and (-4, 27) is the other ordered pair

Step-by-step explanation:

(1)  f(x) = x^2 - 2x + 3             (2)    f(x) = -2x + 19

-2x + 19 = x^2 - 2x + 3

x^2 - 16 = 0

(x - 4)(x + 4) = 0

x = 4   or    x = -4                                  -2(4) + 19 = 11

                                                             -2(-4) + 19 = 27

So, when x = 4, y = 11                   and when x = -4, y = 27

(4, 11) is one ordered pair              and (-4, 27) is the other ordered pair

Answer asap i got school in one hour and forgot to do this (im putting all my points for this)

Answers

Answer:

I belive the answer for the first box is 9.67

I belive the answer for the second box is 71.

I hope I helped

Please help I really dont know where to start and am having a hard time with this unit

Answers

So a slope of 1/4 means that for every 4 steps you take forward, you would go up 1.

With this, beginning at the point (6,3), lets take 4 steps back and go down 1. This is instead of going forward, as that value would be outside of your graph We would end up at (2,2). By using these two points, you can graph your line.

The equation =+y3115
is solved in several steps below.
For each step, choose the reason that best justifies it.

Answers

You are missing parts of the question I would like to help you

Michelle invested $10,000 in an account that earns 8.5% interest that is compounded monthly. Determine the amount of money in the account in 15 years

Answers

Given:

The principal value = $10,000

Rate of interest = 8.5% compounded monthly.

To find:

The amount of money in the account in 15 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest in decimal, n is the number of times interest compounded in an year, t is the number of years.

Number of months in an year is 12. So, n=12.

Substitute [tex]P=10000, r=0.085, n=12, t=15[/tex] in the above formula.

[tex]A=10000\left(1+\dfrac{0.085}{12}\right)^{12(15)}[/tex]

[tex]A=10000\left(\dfrac{12.085}{12}\right)^{180}[/tex]

[tex]A=35626.53335[/tex]

[tex]A\approx 35626.53[/tex]

Therefore, the amount of money in the account in 15 years is $35626.53.

Use the equation ˆ y = 16.279 − 0.206 x to find the value of ˆ y given x = 48 . Round the result to the nearest tenth.

Answers

Answer:

[tex]y=6.391[/tex]

Step-by-step explanation:

Given

[tex]y=16.279 - 0.206x[/tex]

Required

Find y when [tex]x = 48[/tex]

Substitute [tex]48[/tex] for [tex]x[/tex] in [tex]y=16.279 - 0.206x[/tex]

[tex]y=16.279 - 0.206 * 48[/tex]

Multiply

[tex]y=16.279 - 9.888[/tex]

Subtract

[tex]y=6.391[/tex]

What fraction is greater than 3/5​

Answers

Answer:

4/5

Step-by-step explanation:

The radius of a cylinder is measured in inches. What unit will the volume be measured in?
will give brainlist
cubic inches
feet
square inches
inches

Answers

Answer:

Cubic Inches

Step-by-step explanation:

I hope this helps you.

Find the perimeter and area of the polygon shown below.

A. P= 80 feet, A = 368 square feet

B. P = 80 feet, A = 360 square feet

C. P= 95 feet, A = 420 square feet

D. P = 60 feet, A = 368 square feet

Answers

Answer:

I would say it's d (sorry if im wrong)

pls helppp!


what is the area of the the shaded region?

a. 11 square cm

b. 19 square cm

c. 16 square cm

d. 6 square cm

Answers

The answer is c 16. Square cm
16 square cm i took it too

A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated
above. Find the probability that a male chosen at random watches comedy.
A. 2/15
B. 1/6
C. 1/3
D. 5/11

Answers

Answer:

C would be your answer. If im not mmistaken but im 99% sure

Step-by-step explanation:

Analyze the table below and complete the instructions that follow.

Sports

Drama

Comedy

Total

Male

8

2

5

15

Female

3

6

6

15

Total

11

8

11

30

A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated above. Find the probability that a male chosen at random watches drama.

A rabbit population doubles every 6 weeks. There are currently seven rabbits in a restricted area. If t represents the time, and weeks, and P(t) is the population of the rabbits, about how many rabbits with there be 126 days?

Answers

Answer:

56 rabbits

Step-by-step explanation:

Given that  t represents the time, and weeks, and P(t) is the population of the rabbits and that the population doubles every 6 weeks.

In 126 days, there are

= 126/7

= 18 weeks

It means that the rabbit population will double

= 18/6 times

= 3 times

Since there are currently 7 rabbits at the end of 6 week,

P(6) = 7 * 2

= 14

At the end of 12 weeks

P(12) = 14 * 2 = 28

At the end of 18 weeks

P(18) = 28 * 2 = 56

Hence there will be 56 rabbits at the end of 126 days

The sophomore class is organizing a picnic and bought 1300 hot dogs and hamburgers for the event. The hotdogs cost $0.59 each and the hamburgers cost $0.98 each before tax. The total bill came to $1041.37, which
included $79.37 in tax. Write only the system you would use.

Answers

0.59 h + 0.98 b = 1041.37 - 79.37

h + b = 1300

please answer this questionnnnnnnnnnnnnnnnnnnnnn

Answers

Answer: 30, D

Area of rectangle = 4*6=24
Area of triangle = 4*3/2 = 6

24+6?30

Answer:

D. 30 Ft.

Step-by-step explanation:

Split the trapezoid into two shapes for an easier process .

The ideal split shall result in two shapes: A rectangle and a right triangle .

Rectangle Formula: L · W = A

Substitution: 6 · 4 = 24 Ft.

Right Triangle Formula: ( B · H )  ÷ 2 = A

Substitution: ( 3 · 4 ) ÷ 2 = 6 Ft.

Add the separate areas together to get the final result .

24 + 6 = 30 Ft.

WILL MARK AS BRAINLIEST!!
if y varies directly as x and y=3 when x=12, what is the value of y when x=18

Answers

Answer: y=6

Step-by-step explanation:

Data: y=3 and x=12

y=? and x=18

12/3=4 and 18/3=6

y=6

I hope this helps

Amy said 4/9 of her teammates got hits during a recent softball game. Which decimal represents this same amount?
A 0.49
B. O 0.444
c. O 0.49
D. 0.444

Answers

Answer:

.....Your answer is D

...

.

Ayudenme no le entiendo :(
Help I don't understand :(​

Answers

Answer:

65 degrees

Step-by-step explanation:

90 - 25 = 65

Answer and Step-by-step explanation:

To find x, we need to subtract all of the other angles from 180.

180 - 25 = 155

155 - 90 (that's the right angle) = The answer is 65.

The other way to find x is be subtracting 25 from 90, since 25 and x, when added together, forms a right angle, which is 90.

#teamtrees #PAW (Plant And Water)

I need help with this question this one and a couple more and im done with this EdPuzzle

Answers

which one? I don’t see ay question

Sabrina is building a bookend from two identical wooden rectangular prisms as shown in the figure. what is the volume of wood used in sabrina bookends

A.320 cubic centimeters
B.640 cubic centimeters
C.656 cubic centimeters
D.672 cubic centimeters

Answers

Answer:

A. 320 cubic centimeters

Step-by-step explanation:

First, you want to multiply 4 by 4 to get 16. Then what you want to be is multiply 16 by 20 and you will get 320 cubic centimeters.

Market researchers were interested in the relationship between the number of pieces in a brick-building set and the

cost of a set. Information was collected from a survey and was used to obtain the regression equation ý = 0.08x +

1.20, where x represents the number of pieces in a set and is the predicted price (in dollars) of a set. Which

statement best describes the meaning of the y-intercept of the regression line?

Answers

Answer: c. When the number of pieces is 0, the predicted price is $1.20. This interpretation is not meaningful because a set cannot have 0 pieces

Step-by-step explanation:

The y-intercept in a regression equation shows the value of y when x is 0. For this scenario therefore, the y-intercept is the predicted price of a set when the number of pieces in the set is 0. As the y-intercept is 1.20, this means that when there are no pieces in the set, the predicted price is $1.20.

This however is not logical or meaningful because a set cannot have 0 pieces and if it did, it wouldn't make sense for somebody to pay $1.20 for it.

When the number of pieces is 0, the predicted price is $1.20.

This interpretation is not meaningful because a set cannot have 0 pieces.

We have given that,

Market researchers were interested in the relationship between the number of pieces in a brick-building set and the cost of a set.

What is the regression equation?

regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.

The y-intercept in a regression equation shows the value of y when x is 0. For this scenario, therefore, the y-intercept is the predicted price of a set when the number of pieces in the set is 0. As the y-intercept is 1.20, this means that when there are no pieces in the set, the predicted price is $1.20.

This however is not logical or meaningful because a set cannot have 0 pieces and if it did, it wouldn't make sense for somebody to pay $1.20 for it.

To learn more about the regression equation visit:

https://brainly.com/question/25987747

#SPJ2

Choose the inequality that represents the following graph.​

Answers

B: x is smaller than or greater to -3
I think it’s a B
I hope it help:)

Which holds more, a cylinder with a height of 10.0 cm and a diameter of 7.0 cm or a cylinder with a height of 7.0 cm and a diameter of 10.0 cm? Explain your answer using calculations. *

Answers

Answer:

The cylinder with a height of 7.0 cm and a diameter of 10.0 cm

Step-by-step explanation:

v = πr²h

---------------------

cylinder with a height of 10.0 cm and a diameter of 7.0 cm

v = π(3.5²)10

v = 384.65 cm³

cylinder with a height of 7.0 cm and a diameter of 10.0 cm

v = π(5²)7

v = 549.5 cm²

549.5 > 384.65

The second cylinder holds more

A sector of a circle has a central angle measure of 300. The diameter of the circle is 26 centimeters What is the approximate area of the sector

Answers

(1/2(r^2)(degree)) / 180 = A
FORMULA


(1/2(26^2)(300)) / 180 = 563.333333

ANSWER 563pie

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