Write the equation of the line passes through the point (10, 2) and is perpendicular to the line: y=-5x+7

Please show work

Answers

Answer 1

Answer:

Perpendicular line: y = ⅕x + 0 or y = ⅕x

Step-by-step explanation:

Given the point, (10, 2), and the linear equation, y = -5x + 7:

In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.

Definition:

Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.

In other words, since the slope of the given line, y = -5x + 7 is m = -5, then it means that the slope of the other line must be m₂ = ⅕ because:

                    m₁ × m₂  = -1

                     -5 ×  ⅕  = -1

Solution:

Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :

y = mx + b

2 = ⅕(10) + b

2 = 2 + b

Subtract 2 from both sides:

2 -2 = 2 -2 + b

0 = b

Hence, the y-intercept is b = 0.

Equation:

The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or   y = ⅕x


Related Questions

List numbers that are between -103 ad -130

Answers

Answer:

104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123,124,125, 126, 127, 128, 129

Hello! :)

Numbers between -103 and -130:

-104-105-106-107-108-109-110-111-112-113-114-115-116-117-118-119-120-121-122-123-124-125-126-127-128-129

These are the numbers between -103 and -130. Hope it helps. Please ask if you have any query.

~An excited gal

#CarryOnLearning

[tex]MagicalNature[/tex]

I beg you please help me with this

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Choose the correct definition of divisor.

A. The answer in a division problem.
B. The number that is divided in a division problem.
C. The number that's left when the divisor doesn't go into the dividend
exactly.
D. The number that divides in a division problem.

Answers

The answer is d I think tell me if it’s wrong

Answer:the number that divides a division problem

Step-by-step explanation:the divisor divides the another number for the answer


hope this helps!

help please and thank u​

Answers

Answer:

The line is y = (1/2)x + 3

Step-by-step explanation:

We can calculate a slope.  I'll use the two points (-4,1) and (-1,2.5).

Rise = (2.5-1) = 1.5

Run = (-1-(-4)) = 3

Rise/Run = Slope = (1.5/3.0) = 1/2

Find b, the y-intercept, by using point (-4,1) in the equation y = (1/2)x + b

y = (1/2)x + b

1 = (1/2)*(-4) + b

1 = -2 + b

b=3

The line is y = (1/2)x + 3

In ΔVWX, w = 490 inches, ∠W=31° and ∠X=79°. Find the area of ΔVWX, to the nearest square inch.

Answers

Answer:

= 215008. 21 in²

Step-by-step explanation:

HELP ME
Todd surveyed the 25 7th grade students in the art club to determine what movies 7th grade students prefer.

Explain why this is not an appropriate sample to use to infer the preference of all 7th grade students.

Describe a better sampling method.

HELPPP​

Answers

Answer:

Step-by-step explanation:

It isn't an appropriate sample to use to infer the preference of all 7th grade students because they only get the students in one club, a better sampling method would be to get the answer from 25 grade 7 students in other clubs including the art club.

- i'm sorry if this doesn't make any sense

Todd's method of sampling is incorrect because he chose the student from a single club. To make it better he has to choose students from different clubs.

What is a sample method?

The sampling method is the method of selecting the subset from the set to make a statical inference.

Todd surveyed the 25, 7th-grade students in the art club to determine what movies 7th-grade students prefer.

This method is not an appropriate sample to use infer preference of all 7th-grade students because they only get the students in one club, a better sampling method would get the correct surveyed from 25 grade 7 students in other clubs including the art club.

More about the sample method link is given below.

https://brainly.com/question/15125943

Calculate Unit Rates

please help

Find the unit rate for each problem.​

Answers

Answer:

1. 3 tacos per person

2. 8 chairs per table

3. 6 avocados per bag

Step-by-step explanation:

1) Divide 45 by 15 to get the unit rate: # of taco per person.

45 = 15x

45/15 = 15x/15

3 = x

3 tacos per person

2) Divide 72 by 9 to get the unit rate: # of chairs per table.

72 = 9x

72/9 = 9x/9

8 = x

8 chairs per table

3)  Divide 42 by 7 to get the unit rate: # of avocados per bag.

42 = 7x

42/7 = 7x/7

6 = x

6 avocados per bag

Plzzzzz help meeeee plzzz

Answers

Answer:

1 Meter equals 100 Centimeters, therefore 1 Square meter is equal to 100 centimeters squared. Thus, [tex]1 M^{2}[/tex] is equal to [tex]100^{2}[/tex] when counting in Centimeters square. Now that we have gotten the basics down, Lets convert the other necessary units.

[tex]1 m^{2} = 10,000 cm^{2}[/tex]

[tex]1 mm^{2} = 0.01cm^{2}[/tex]

[tex]1 km^{2} = 1,000,000 m^{2}[/tex]

Now, using that knowledge, we can find the answers to all questions.

1) 0.15 [tex]m^{2}[/tex]

2) 0.086 [tex]m^{2}[/tex]

3) 0.1 [tex]cm^{2}[/tex]

4) 600,000 [tex]cm^{2}[/tex]

5) 0.0001 [tex]km^{2}[/tex]

6) 400 [tex]cm^{2}[/tex]

7) 52,100 [tex]mm^{2}[/tex]

8) 500,000 [tex]m^{2}[/tex]

9) 0.087 [tex]mm^{2}[/tex]

10) 50 [tex]cm^{2}[/tex]

That's all folks!

pls answer quick.
which problem-solving strategy would be best to solve this problem how many different ways can you give change for 45 cents?

A) make a table, chart or list

B) work backwards

C) use a formula

D) look for a pattern​

Answers

Answer:

a:make a table ,chart or list

the answer is A) make a table, chart or list

Solve pls brainliest

Answers

Answer:

If u double both numerator & denominator, this ration is 46/100

This answer is 46%

What is the slope of the equation

Answers

The answer for this question is Undefined

Answer:

Undefined

Step-by-step explanation:

x=-4 is a vertical line (On a graph) so it would be undefined

As a puppy, Cricket weighed 3 3/4 pounds. At her 1-year check-up with the vet, Cricket weighed 12.5 pounds. How much weight did Cricket gain between the time she was a puppy and her 1-year check-up? Enter your answer as a decimal or simplified mixed number in the box.​

Answers

Answer:
8.75lb :)

Explanation:
12.5 - 3 3/4 = 8.75lb

Answer:

8.75lb

Step-by-step explanation:

pls mark brainliest :)

Solve 7.25x + 10 = 2.25x + 25 for x.

Answers

Answer:

x=3

Step-by-step explanation:

Which expression has a value equal to 28 divided by 4
There are 4 options.
7x4
4x28
28/4
4/28

Answers

Answer:

28/4

Step-by-step explanation:

the slash is also a division sign.

Answer:

B: 28/4 should be the correct answer, correct me if I'm wrong.

primary school has 140 girls and 90 boys.
The probability that a girl wears glasses is 0.4
The probability that a boy wears glasses is 0.3
Estimate the number of pupils wearing glasses in the school.​

Answers

Answer:

140*0.4=56

90*0.3=27

56+27=83

Hope This Helps!!!

Answer:

the answer is 6.5 people are wearing glasses that means that 6-7 people are wearing glasses

What will be the graph of the circle (x-4)^2+(y+3)^2=16

Answers

Answer:

x + y - 5 = 0

Step-by-step explanation:

(x-4)² + (y+3)² = 16

To remove the square on the left side, we square root both sides

√(x-4)² + √(y+3)² = √16

The square will cancel the square root on the left side, while the square root of 16 is 4

(X-4) + (y+3) = 4

open the brackets

x-4+y+3=4

x + y = 4 + 4 - 3

x + y = 5

x + y - 5 = 0

solve for f

M-5N= f/t

Answers

Answer:

3.2

Step-by-step explanation:

Answer:

With the context you gave the awnser would be m≠5n

Step-by-step explanation:

Solve for Z:

4 > 5Z + 34
help me

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation:

0.57,0.66,0.75,0.84 what are the next three numbers

Answers

Step-by-step explanation:

since the difference between all the numbers is 0.09 so to get the next three numbers you add o.o9 to 0.84 the answer u get add it with 0.09 until u get the numbers u are asked to look for

Help with elimination

Many Thanks

Answers

[tex]\left \{ {{-6y = -12} \atop {3x + 2y = -2}} \right. <=> \left \{ {{y = 2} \atop {3x + 2y = -2}} \right. <=> \left \{ {{y=2} \atop {3x + 2*2 = -2}} \right. <=> \left \{ {{y=2} \atop {3x = -6}} \right. <=> \left \{ {{y=2} \atop {x=-2}} \right.\\ => \left \{ {{y=2} \atop {x=-2}} \right.[/tex]

Ricardo camina 2 km
en 2 hora. ¿Cuántos
minutos tardará si
DESCANSO
A 2KM
camina 12 km?

Answers

The time it will take ricardo to walk 12km is 12 hours

If Ricardo walks 2 km  in 2 hours, the speed of Ricardo is expressed as:

Speed = Distance/Time

Speed = 2km/2hr

Distance = 1km/hr

To find the time it will take to walk 12km, we will use the same formula:

Time = Distance/Speed

Time = 12km/1km/hr

Time = 12hours

Hence the time it will take ricardo to walk 12km is 12 hours

Learn more on speed here: https://brainly.com/question/13262646

in the function f(x)=6x^2-4, what is the value of f(-2)?

Answers

In order to find the value of f(-2), you can plug -2 wherever x is.

f(x) = 6x^2 - 4

f(-2) = 6(-2)^2 - 4

f(-2) = 6(4) - 4

f(-2) = 24 - 4

f(-2) = 20

Thus, the value of f(-2) is 20. Hope this helps! If you have any other questions related to this, let me know.

please help me:((( i need help!

Answers

Answer:

Step-by-step explanation:

96 for 1st triangle and 128 for he 2nd triangle....hope this helps!

Use the distributive property to remove the parentheses.

5(y-5)

Answers

Answer:

=5y-25

Step-by-step explanation:

5 times y would be 5y and 5 times -5 would be -25

answer and please show the work.​

Answers

Answer:

[tex]y=\displaystyle\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

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 x=0)

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (4,-1) and (0,3)

[tex]m=\displaystyle\frac{-1-(-3)}{4-0}\\\\m=\displaystyle\frac{2}{4}\\\\m=\displaystyle\frac{1}{2}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into  [tex]y=mx+b[/tex] :

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\displaystyle\frac{1}{2} x+b[/tex]

The y-intercept occurs when x=0. Because we're given that (0,-3), the y-intercept is therefore -3.

[tex]y=\displaystyle\frac{1}{2} x-3[/tex]

I hope this helps!

A car covered a certain distance at 24mph. While returning, the car covered the same distance at the speed of 16mph. What is the average speed of the car for the entire journey?

Answers

Answer:

19.2

Step-by-step explanation:

You have to trust me, this answer is correct. But here's my solution:

With the formula

Distance=Speed multiplied by Time, we can infer that Speed=Distance/Time.

But we only have one variable (Speed) in the two we need (Speed and Time), we have to pretend we have both variables. You can put the time as 1 hour because that's the most basic unit. Note that this strategy will also work with 2 hours, 3 hours, or any measure of time.

So now for distance, let's see how fast a car can travel 24 miles. When going at 24 mph, then it'll take 1 hour. With 16 mph, then it'll take 1 hour and 30 minutes, so 1.5 or 3/2 hours.  

Now we have the distance, which is 2 times 24 (Because the 24 mph and 16 mph both traveled 24 miles), equaling 48, and time, which is 1 hour plus 1.5 hours, which is 2.5 hours.

Now we use the formula Speed=Distance/Time, with 48/2.5=19 1/5 or 19.2

DUBS

(Please consider giving a Brainliest. I spent lots of time on this, and it's honestly the best answer out of all!)

Choose the steeper line.
y=1/2x-3
or
y=1/4x -8

Answers

Hello there!

y=1/2x-3 is steeper than y=1/4x-8

The bigger the slope, the steeper the line.

Hope this helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex] here to help

HELP ME PLSSSSSSSSSSSSSSSSSSSS

Answers

stinky stinky stinky stinky stinky stinky

can someone help me solve questions 29-31 pls

Answers

Answer:

100.

...................

what is ?? 6x93/5=to

Answers

Answer:

111.6

Step-by-step explanation:

6x93/5=111.6

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