Which of these is a point-slope equation of the line that is perpendicular to
y- 25 =2(x- 10) and passes through (-3, 7)?
A. y-7= -2(x+ 3)
B. y+7=--3)
C.y-7- -x+3)
D. y+7 = 2(x- 3)

Which Of These Is A Point-slope Equation Of The Line That Is Perpendicular Toy- 25 =2(x- 10) And Passes

Answers

Answer 1

Given:

Equation of line is [tex]y-25=2(x-10)[/tex].

A line is perpendicular to the given line and passes through (-3,7).

To find:

The point slope form of the perpendicular line.

Solution:

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]          ...(i)

where, [tex](x_1,y_1)[/tex] is the point from which the line is passing through and m is slope.

We have,

[tex]y-25=2(x-10)[/tex]       ...(ii)

From (i) and (ii), we get

[tex]m_1=2[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]2\times m_2=-1[/tex]

[tex]m_2=-\dfrac{1}{2}[/tex]

So, slope of perpendicular line is [tex]-\dfrac{1}{2}[/tex].

Point slope form of the perpendicular line is

[tex]y-(7)=-\dfrac{1}{2}(x-(-3))[/tex]

[tex]y-7=-\dfrac{1}{2}(x+3)[/tex]

Therefore, the correct option is C.


Related Questions

PLEASE HURRY! (And only respond if you know the answer please.)
A Web music store offers two versions of a popular song the size of the standard version is 2.1 megabytes (MB). The size of the high-quality version is 4.9 MB. Yesterday, the high-quality version was downloaded twice as often as the standard version. The total size downloaded for the two versions was 2737 MB. How many downloads of the standard version were there?​

Answers

Answer:

Step-by-step explanation:

If the no of standard version downloads = 230

Then higher version is twice than that = 460

Total = 2.1 x 230 + 4.9 x 460 = 2737

if anybody could answer this; please do!

Answers

Answer:

2

Step-by-step explanation:

cause

Answer:1,036

Step-by-step explanation:I did this in my head lol tell me if it’s wrong tho

Dkendbdjdbebdbdbdjdnd

Answers

Answer:

5/2

Step-by-step explanation:

The 5^-3 and 5^6 cancel out to be 5^3. Then the 5^3 cancels out with the 5^2 in the denominator and leaves you with just a 5. The 2^2 makes the 2^3 in the denominator just 2. So, you are left with 5/2! Hope this helps.

What is the answer and plz give me step by step explaining

Answers

Answer:

7

Step-by-step explanation:54x=60x-42, -6x=-42, divide both sides by six then you get 7

Jada has read 3/5 of a book. She read 75 pages so far. How many pages are in the whole book

Answers

Step-by-step explanation:

3/5 of the book = 75 pages

5/5 of the book = 75 * (5/3) = 125 pages

Hence there are 125 pages in the whole book.

Answer:

Concept: Data Analysis

Jada has read 60% of the book So 60% of the book is 75 pages We want to find the whole count of pages An easy way to do this is to see that for every 20% you have 15 pages You need 40% So its 30 pages So 75+30= 105 pages

Susan gets $12.75 per hour for babysitting. If she babysits for 2.5 hours, how much money will she earn?

Answers

Answer:

31.42

Step-by-step explanation:

can anyone help me with this math question

Answers

The third is true

ok bye

lm'iranian

11years old

Consider this function.
(r) = -3r + 3
Which graph represents the inverse of function ?

Answers

9514 1404 393

Answer:

  C.  graph Y

Step-by-step explanation:

Starting with f(r) = -3r +3, the inverse function can be found from ...

  r = f(y)

  r = -3y +3

  r -3 = -3y

  (r -3)/-3 = y

  y = -1/3r +1

The inverse function will have a slightly negative slope and a y-intercept of 1. This matches graph Y.

PLEASE HELP NOO NE ANSWERS IT THE RIGHT WAY. YOURE SUPPOSED TO FIND WHICH ONE HAS THE GREATER UNIT RATE (only question 13)

Answers

Answer:

The graph on the right.

Step-by-step explanation:

The graph has a higher unit rate because it's slope is 48.5, as opposed to the equation on the left which has a slope of 23.5

Write the explicit rule for the given the sequence: 125, 25, 5, ...

Answers

Answer:

An=125(1/5)^n-1

Step-by-step explanation:

r=common ratio

A1= first term in the sequence

I hope this helps some

The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

What is geometrical progression series?

A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.

For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.

The given GP series is 125, 25, 5, ...

First term a = 125

Common ratio = 25/125 = 1/5

The nth term will be given as ar^(n-1)

Thus, An=125[tex](\frac{1}{5}}) ^{n-1}[/tex].

Hence "The given series 125, 25, 5, ... is a geometric progression thus the general term will be An=125".

For more information about the geometrical progression,

brainly.com/question/4853032

#SPJ2

Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.

Answers

Answer:

342

Step-by-step explanation:

50+4x=y

x=73

I need help in math thank you

Answers

The correct answer is 960 yards

Explanation:

The first step to answer this question is to calculate the distance Alan traveled. Additionally, to calculate this use the time (90 seconds) and the speed (32 ft/s) by considering distance equals speed multiplied by time.

D (Distance) = s (speed) x t (time)

D = 32 ft/s x 90 s

D= 2880 ft

This means the total distance was 2880 feet; however, the answers are provided in yards and the feet need to be changed to yards. Follow this process:

1 foot = 0.3333 yards

2880 ft x 0.3333 yards = 959.99 yards which can be rounded as 960 yards.

Can someone help me with this

Answers

Answer:

No, there is 3 times the amount of not yellow chalk than yellow chalk. This proves that the friend is wrong because this exceeds the given total amount of chalk, being 12. If the friend was correct there would be 24 pieces of not yellow chalk and 32 pieces of chalk in total.

The correct pieces of not yellow chalk is 9. The correct pieces of yellow chalk is 3. this can be solved by dividing the total, 12, by 4, because that is the total amount of units. This solves for one unit. Once you know the value of one unit, you can find the total of each type of chalk.

Based only on the information given in the diagram, it is guaranteed that
AEFG AHJK
K
F
16
E
3
G
00
H
A. True
B. False

Answers

False Also show us the diagram for us to know

The statement that the two triangles are similar based on the given figure is false.

What are Similar Triangles?

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

So, we know that two similar triangles will have all the corresponding angles equal to each other.

Given two triangles EFG and HJK.

Also, given that,

EG = 8 and HK = 16

EG/ HK = 8/16 = 1/2

∠E = ∠H = 90°

There are no other information given.

If one more corresponding angles are equal, we can use ASA, AAS or AA property, and if one more corresponding side are proportional, we can use SAS postulate.

In this case, we cannot say two triangles are similar.

Hence the statement is false.

Learn more about Similar Triangles here :

https://brainly.com/question/14926756

#SPJ7

plz help!! will give brainliest!

Answers

Answer:

C) 13

Step-by-step explanation:

Ok so

8√3

In the parallelogram below,
z = [ ? ]°

Answers

Z is equal to 124 degrees

what is the percent increase in 22 to 30

Answers

Answer:

36.37%

Step-by-step explanation:

30 - 22 = 8

100% * 8/22

800/22

36.37%

A yoga instructor offers two options for classes. Option 1: $40 joining fee and $20 per class Option 2$0 joining fee and $25 per class After how many classes will both options have the same cost?

Answers

Answer:

The indifference point is 8 classes.

Step-by-step explanation:

Giving the following information:

Option 1:

$40 joining fee and $20 per class

Option 2:

$0 joining fee and $25 per class

First, we establish the total cost formulas:

Option 1= 40 + 20x

Option 2= 0 + 25x

x= number of classes

Now, we equal both formulas and isolate x:

40 + 20x = 25x

40=5x

8=x

The indifference point is 8 classes.

Prove:

Option 1= 40 + 20*8= $200

Option 2= 0 + 25*8= $200

The volume of a rectangular prism is represented by the function x
representing the width of the box.
Ox- 4
OX-1
Ox+1
Ox+4

Answers

Answer:

x = 4

Step-by-step explanation:

Hope this helps! Consider Brainiest! <3

There are 95 students at an
assembly. They are sitting in rows
and there are 7 students in each
row. How many rows will be needed
to seat all the students?

Answers

I believe 14.
95 divided by 7 is 13.57 so Round up to 14.

Answer:

about 14 chairs

Step-by-step explanation:

All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14

How do I turn a decimal into a whole number? :)

Answers

There is a confusion here. “Decimal” is not a number set. “Whole numbers” is.

“Decimal” has been used to mean three different things about the representation of numbers:

- Numbers written using a base 10 place value system

- The decimal point that separates the integer and fractional parts of a number written in base 10. (Some countries use a comma. Some folks refer to the point used for this purpose in other bases as a decimal too for extra confusion.)

- A number written in the above form that has some numerals, probably nonzero, written to the right of the point. In other words, a number written in decimal form with a nonzero fractional part.

I'm guessing that the usage in this question is referring to the third meaning of “decimal” and will interpret the question as being not about representation of numbers but about transformation of numbers.

To wit, “What are some popular ways real numbers with nonzero fractional parts can be mapped to integers?”

I hope this is the correct interpretation.

There are a few common ways:

- Round towards zero: Ignore the fractional part and keep only the integral part.

- Floor: Take the greatest integer less than the number in question.

- Ceiling: Take the least integer greater than the number in question.

- Round to the nearest integer: Ignore the fractional part if it's less than a half. Otherwise, round away from zero.

These are the main ways of picking integers close to the number in question, but obviously, there are infinitely many ways to map sets of real numbers to mergers, so it is unclear if any of these are what the asker was looking for.

Answer:

if the number after the decimal is 5 or more then round the number before decimal by 1

Step-by-step explanation:

for example:

1234.5

=1235

or

6974.7

=6975

or

7796.4

=7796 (No change on the last number because the number after the decimal is 4, which is under 5)

Use the elimination method to solve the system of equations.
3x + 2y = 16
2x - 2y = 4
A. (2,4)
B. (5,3)
C. (4,14)
D. (4,2)

Answers

correct answer is d x=4 y=2

Answer:

d (4,2)

Step-by-step explanation:

What is the solution to the system of polynomials graphed below?

Answers

Answer:

Step-by-step explanation:

A(-1,6)

the solution is the intersection of the 2 graph because in that point both equations are true

What is the slope and y-intercept of the line represented by the equation y=18x+3

Answers

Format: y = mx + b
m = slope, b = y intercept
Solution: slope is 18, y intercept is 3

Urgently need this my kid is confused and so am I.

The length, x, of a rectangle is five more than the width, y, and the perimeter of the rectangle is 42 meters. If y = x – 5 is one equation used to solve the system of equations, select the other equation that can be used to solve the for the length and width of the rectangle. What are the values of the length and width?

Answers

Answer:

The other equation is [tex]x + y = 21[/tex]

The length and width are 13 and 8

Step-by-step explanation:

Given

[tex]Perimeter = 42[/tex]

[tex]y = x - 5[/tex]

Required

What is the other equation for the length and width?

x and y represents the length and width respectively.

The perimeter of a rectangle is calculated using:

[tex]Perimeter = 2 * (length + width)[/tex]

In this case, it is:

[tex]Perimeter = 2 * (x + y)[/tex]

Substitute 42 for perimeter

[tex]42 = 2 * (x + y)[/tex]

Divide through by 2

[tex]21 = x + y[/tex]

[tex]x + y = 21[/tex]

Required: The values of length and width

We have that:

[tex]y = x - 5[/tex]

[tex]x + y = 21[/tex]

Substitute x - 5 for y in the second equation

[tex]x + x - 5 = 21[/tex]

[tex]2x - 5 = 21[/tex]

Add 5 to both sides

[tex]2x - 5 + 5 = 21 + 5[/tex]

[tex]2x = 26[/tex]

Divide through by 2

[tex]x = 13[/tex]

Substitute 13 for x in [tex]y = x - 5[/tex]

[tex]y = 13 - 5[/tex]

[tex]y = 8[/tex]

Hence, the length and width are 13 and 8 respectively

A science teacher has 4 2/3 packages of bird seed. Each package weighs 2 1/4 pounds. How many pounds of bird seed does the teacher have in all?​

Answers

Answer:

9 3/2 pounds or 10.5 pounds

Step-by-step explanation:

4 2/3 x 2 1/4 = 14/3 x 9/4 = 126/12 = 21/12 = 9 3/2 or 10.5

Answer:

10.5 pounds

Step-by-step explanation:

4 2/3 × 2 1/4 = 10.5 or 10 1/2

A pack of pencils that have 30 pencil in the pack cost $5.99. How much is one pencils cost? (unit rate)​

Answers

Answer:

$0.19 per pencil

Step-by-step explanation:

$5.99 divided by 30 = 0.19

HELP PLZ
You don’t have to solve all of them just do the ones you know!

Answers

Supplementary angles equal to 180
Complimentary angles equal to 90
Adjacent angles are connected by a vertex and side
Vertical angles are opposite of each other on two intersecting lines

A1 is 64° more than A2, so A1 + 64 = A2
Input that into the equation.
A1 + A1 + 64= 180
2A1 = 116
A2 = 58
A1 = 58+64, 122

90 = A1 + A1 +20
70 = 2A
35 = A2
55 = A1

Complimentary angles equal to 90.
A1 is 49, so 90-49= 51.

Find the slope and y-intercept of the line in each graph. (Explore Activity 1) Please help me

Answers

Answer:

1. Slope = -2 , y-intercept = 1

2. Slope = 5 , y-intercept = -15

3. Slope = 1.5 , y-intercept = -2

4. Slope = -3 , y-intercept = 9

Step-by-step explanation:

1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!

PLEASE HELP!!!!!!! WILL GIVE BRAINLIEST

Answers

Answer:

16 inches

Step-by-step explanation:

What we know:

The equation y = 3/4x shows the diameter of a trees in x inches gained in y years.

We know y, which is 12, so this becomes x = 4/3y (or x = 4y/3)

x = 4(12)/3

x = 48/3

x = 16

The predicted diameter will be 16 inches.

(Just put 16 in the blank.)

Other Questions
What is most responsible for a fever? *Mast cellsAntigensPyrogensToxins Given that the triangles shown below are similar, what is the value of x?D32401620H48MPXLA. 20OB. 10.7OC. 96O D. 24 Read the research question.How well did the Roman citizens like Marcus Aurelius?What makes this research question ineffective?It is unclear.It is not broad.It is too focused.It is unanswerable. 1 - 3x = 3x + 1 solve for x on Monday the high was 60 degrees Fahrenheit on Tuesday the high was 18% more how much did the high increase from Monday to Tuesday Who was bise nsgarchi what did he do WILL GIVE BRAINLIEST !Mason is preparing a presentation for the school board about the need for new computers in the media center.Which tone is most appropriate for this purpose?A. a formal tone, because his purpose is to persuade his audienceB. a formal tone, because his purpose is to educate his audienceC. an informal tone, because his purpose is to entertain his audienceD. an informal tone, because his purpose is to understand his audience Why did Washington refuse to help France or Britain?A. Britain had failed to transfer posts on American territory.B. The French ambassadors behavior was extremely offensive.C. The French West Indies were not threatened.D. The American public did not want war.E. Protecting America was a primary concern. Kesha its plain to rent a van for a trip to Mt.rainier two of her friends each went to the same type of van from the same car rental company last week The Earth's _______ retains the atmosphere from dissipating into space.plz helpthx based on the sequence of events in The Riddle of the Rosetta Stone Consider the equation:4Al + 3O2 = 2Al2O3Is this equation balanced? Why or why not? What is a common theme that Edgar Allan Poes short stories "The Black Cat" and "The Cask of Amontillado" share? A. alcoholism B. feminism C. friendship D. revenge E. destiny 5 Some people have argued that while other groups were persecuted, the Holocaust was aprimarily Jewish experience. Do you agree or disagree with this assessment? Explain yourresponse what is. the value of x in the equation 2.5(6x-4)=10+4(1.5+0.5x)? Read this excerpt from a play Which setting detail reveals the celebratory mood Replace the pronoun with the correct possessive word.Las tortillas son de El. Las tortillas son .......tuyosO suyasO suyostuyas 9. Use the diagram to answer the question below.cell chloroplastwallcellmembrane vacuole nucleusunDOThe cell membrane plays an essential role in the life of the cell. How does the cell membranehelp maintain the health of the cell in the figure above? Can anyone help me out with these questions Which of the following phrases indicates a turning point?A. Best to jump back, to let go(line 7)B. Always there was one too many( line 15)C. And then there came a day( line 30)D. Solidly they kept returning ( line 35)