Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)

Answers

Answer 1

Answer:

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Given equation of line is:

14x-7y=8

First of all, we have to convert the given equation into slope-intercept form to find the slope of the line

The slope-intercept form is:

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

Now

[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]

The co-efficient of x is 2 so the slope of given line is 2

Let m1 be the slope of line perpendicular to given line

The product of slopes of two perpendicular lines is -1

[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]

The equation for line perpendicular line to given line will be:

[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]

To find the value of b, putting (-2,5) in the equation

[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]

The final equation is:

[tex]y = -\frac{1}{2}x+4[/tex]

Hence,

Equation of line perpendicular to given graph is:

[tex]y = -\frac{1}{2}x+4[/tex]


Related Questions

How do you solve -2 = t/3 - 11?

Answers

Answer:[tex]\boxed{t=27}[/tex]Solution Steps:

______________________________

1.) Multiply both sides of the equation by 3:[tex]\frac{t}{3}[/tex] × [tex]3=t[/tex][tex]-11[/tex] × [tex]-3=-33[/tex]

 - We do this because we need to get x alone and separate from fraction from.

Equation at the end of Step 1:

[tex]-6=t-33[/tex]

2.) Add 33 to both sides:[tex]-33+33=[/tex] Cancels Out[tex]-6+33=27[/tex]

 - We do this to cancel out an extra numbers in order to get only x alone with 1 number on the opposite side of the equal.

______________________________

You go for a run on monday you run 2.41Km on tuesday you ran the same distance how far did you ran altogether

Answers

Answer: 4.82 km

Step-by-step explanation:

You went for a run on Monday.

You then went on a run on Tuesday as well. On this day you ran 2.41 km and it is said that you ran the same distance on both days which means you ran for 2.41 km on Monday as well.

The total distance you ran is therefore:

= 2.41 + 2.41

= 4.82 km

PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?

Answers

Answer:

the original volume is 4.0L

Step-by-step explanation:

Step one:

given data

V1= ?

T1=  52 °C

V2= 6.1L

T2=  79° C

Step two

applying the volume temperature relationship, which is

V1/T1= V2/T2

substituting we have

V1/52= 6.1/79

cross multiply we have

52*6.1= V1*79

317.2= 79V1

divide both sides by 79

V1= 317.2/79

V1=4.0L

y=−2x+4 Complete the missing value in the solution to the equation. ( −2) Need it quick no explanation need.

Answers

Answer:

1 is missing value..... .....

PLEASE HELP ME
Will mark brainliest ​

Answers

Answer: Its the last one trust me

Step-by-step explanation:

(3) Find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

since triangles are proportional by 2:1, then:

16/2=3x-4

8=3x-4

3x=12

x=4

Which polynomial represents the algebra tile configuration shown?

x2 + 3x + 4
x2 + 3x −
−x2 − 7
−x2 + 3x − 4

Answers

Answer: I’m pretty sure the answer is D. −x^2 + 3x − 4

Step-by-step explanation:

Answer:-x^2 + 3x - 4

Step-by-step explanation:

Please help! I think I know the answer but I don't trust myself xD (Theres a screenshot attached)

Answers

Answer:

the second one

Step-by-step explanation:

Answer:

The last one

Explanation:

-7 times 2 will be -14 and -7 times 5d would be -35d which is exactly what they ask for

Determine the solution to the system of equations.
3x - y = 9
2x - y = 6

Answers

Answer:

(3, 0)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphingTerms/Coefficients

Step-by-step explanation:

Step 1: Define Systems

3x - y = 9

2x - y = 6

Step 2: Rewrite Systems

2x - y = 6

Subtract 2x on both sides:                    -y = 6 - 2xDivide -1 on both sides:                         y = 2x - 6

Step 3: Redefine Systems

3x - y = 9

y = 2x - 6

Step 4: Solve for x

Substitution

Substitute in y:                         3x - (2x - 6) = 9Distribute -1:                             3x - 2x + 6 = 9Combine like terms:                x + 6 = 9Isolate x:                                   x = 3

Step 5: Solve for y

Define equation:                     2x - y = 6Substitute in x:                        2(3) - y = 6Multiply:                                   6 - y = 6Isolate y term:                         -y = 0Isolate y:                                  y = 0

Step 6: Check

Graph the systems to verify the solution set (3, 0) is the solution.

The solution set to the systems would be where the 2 lines intersect.

We see that the intersection point is x-intercept (3, 0).

∴ (3, 0) is the solution set to the systems of equations.

isolate and solve for y

Step-by-step explanation:

subtract y from both sides than divide the x values from bothe sides

A jar has 2 pennies, 5 nickels, 3 dimes, and 2 quarters. What is the probability of drawing a penny,
replacing it, and drawing another penny?

Answers

There is a 2 in 12 chance of drawing a penny

Step-by-step explanation:

Answer: 2/12

Step-by-step explanation:

There are 12 coins all together, and 2 pennies which means there is a 2/12 chance to draw a penny. Then they replace the penny and draw another time, so by replacing the penny the probability doesn't change and there is still a 2/12 chance of drawing a penny.

Can anyone please help me solve this??

Answers

Answer:

X=4 Y= -5

Step-by-step explanation:

Item 6
Graph the solution of 4(7−x)<16.

Answers

Answer:

x>3

Step-by-step explanation:

4 • (7 - x) -  16  < 0

3.1     Pull out like factors :

12 - 4x  =   -4 • (x - 3)

-4 • (x - 3)  < 0

4.1    Divide both sides by  -4

4.2      Add  3  to both sides

            x > 3

4.3      Inequality plot for

        -4.000 X  + 12.000  >  0

Otto is told the average low temperature in January is 16.1∘C cooler than the average low temperature in November. What equation can Otto use to find the average low temperature in January?

Answers

Answer:

x - 16.1°C

Step-by-step explanation:

Given that average low temperature in January is 16.1 cooler Than average low temperature in November

Let average low temperature in November = x

Since, average low temperature in January is cooler than average low temperature in November, then, January temperature is less Than in November

Hence,

Average low temperature in January :

[Average low temperature in November - 16.1°C]

(x - 16.1°C)

Find the length of the altitude drawn to the hypotenuse. please help

Answers

Answer:

12.6

Step-by-step explanation:

answer pleaseesesese

Answers

Answer:

a

Step-by-step explanation:

its a bc a is the only one that is the answer

Which operation should you do first when you simplify the expression below?

(15+4)x3

Answers

Answer:

I would assume you would use PEMDAS? thats what I would use

Answer:

Solve the parenthesis

Step-by-step explanation:

In the order of operations (PEMDAS), you would solve what's in the parenthesis first. So you would add 5 and 4, then multiply that by 3 to get the correct answer. Hope that helps!

Which expression is equivalent to -1/3(6x+15)?
Please help me :(
A) -2x+12
B)-2x+2
C)-2x-2
D)-2x-8

Answers

Answer:

-2x+5

Step-by-step explanation:

Bro the answer are wrong there should on more options of -2x+5

These is explainetation

-1/3 × 6x + -1/3 × 15 ( because -1/3 is multipled to whole bracket)

-2x + 5

The question is in the photo please answer if you’re sure !! Thank you so much !!

Answers

Answer:

x=3

Step-by-step explanation:

The equation here is x=3. If it were y=3, then it would be a horizontal line.

Write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the origin.

Q (-2, -1)
Q' (___,___)​

Answers

Answer:

Q' (-10, -5)

Step-by-step explanation:

Multiply each coordinate by the scale factor.

-2 · 5 = -10

-1 · 5 = -5

Therefore, Q' (-10, -5).

Determine the value b

Answers

Answer:

17

Step-by-step explanation:

6x7= 42

42 divided by 2 = 21

21 - 4 = 17

answer = 17

Find the slope of a line that passes through (4, 1) and (6, 5).
plssss show your work thx plssss

Answers

Answer:

Slope = 2

Step-by-step explanation:

Answer:

is this what youre looking for ?

Step-by-step explanation:

Input Data :

Point A  ( x A , y A )  = (3, 2)

Point B  ( x B , y B )  = (7, 10)  

Objective : Find the slope of a line that passes through points A and B.

Formula : Slope  m =  y B − y A /x B − x A

Solution: Slope m = 10 − 2 /7 − 3  = 8 4

m = 2

Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.

Answers

Answer:

20% x 5= 100%

35 x 5= 175

she has a total of 175 cupcakes

In the first week of​ July, a record 1,120 people went to the local swimming pool.In the second week, 100fewer people went to the pool than in the first week. In the third​ week,140 more people went to the pool than in the second week. In the fourth week, 208 fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

Answer:

15%

Step-by-step explanation:

Given that:

Number of people who went to swimming pool in the first week = 1120

In second week, there are 100 fewer people, so

Number of people who went to swimming pool in the second week = 1020

In third week, there are 140 more people, so

Number of people who went to swimming pool in the third week = 1160

In fourth week, there are 208 fewer people, so

Number of people who went to swimming pool in the fourth week = 952

To find:

Percentage decrease in the number of people who went to the pool over the four weeks?

Solution:

Initial value = 1120

Final value = 952

Decrease in the value = Final value - Initial value

Decrease in the value = 1120 - 952 = 168

To find the percentage, we need to take the initial value in the consideration.

Therefore, percentage decrease is:

[tex]\dfrac{Decrease}{Initial\ value}\times 100[/tex]

[tex]\Rightarrow \dfrac{168}{1120}\times 100\\\Rightarrow \bold{15\%}[/tex]

Answer:

Step-by-step explanation:

100 POINTS AND BRAINLIEST
two paintings were sold were for $50 and $350. find the mean and the median
Mean :
Median:
At a gallery show, three paintings were sold for $250, $400, and $1,200.
Mean :
Median:
oil paintings have been sold for $410, $400, and $375.
Mean :
Median:
YOUR ANSWER WILL BE REPORTED IF YOU PUT NONSENSE

Answers

Answer:

Here, for example, is square inch pricing, using a multiplier of 2.5 (ie, $2.50 per square inch):

4×4 inches = 16 square inches x 2.5 = $40

8×8 inches = 64 square inches x 2.5 = $160

16×16 inches = 256 square inches x 2.5 = $640

24×24 inches = 576 square inches x 2.5 = $1,440

32×32 inches = 1,024 square inches x 2.5 = $2,560

I don’t know about you, but $40 seems awfully small price for a painting by someone who commands $2,560 for a 32×32 canvas.

Here are the same canvas sizes using linear inch pricing, using a multiplier of 20 (ie, $20.00 per linear inch) — as you can see, the difference in price feels a lot less out-of whack:

4+4 inches = 8 linear inches x 20 = $160

8+8 inches = 16 linear inches x 20 = $320

16+16 inches = 32 linear inches x 20 = $640

24+24 inches = 48 linear inches x 20 = $960

32+32 inches = 64 linear inches x 20 = $1,280

Neither of these pricing methods is “right” or “wrong,” but once you determine your method and your multiplier, charging by size can be a very helpful way to eliminate the guesswork, and feel confident about your pricing.

Different Pricing for Different Media?

One possible modifier to your size-based pricing structure is the media you paint with. If you only paint watercolors, or only paint oils, there’s no problem, but if you paint both on canvas and on paper, as I do, it gets a little tricky.

For whatever reason, paintings on paper tend to sell for less than paintings on canvas — even though they require framing, which is an added expense. In my case, if I were to pay to have a piece framed, my costs become much higher for a work on paper than for a canvas painting! What’s an artist to do?

(And remember that pricing your prints is an entirely different topic.)

I don’t have a final answer to this question, except to refer you to the item below…

Step-by-step explanation:

Answer:

Here, for example, is square inch pricing, using a multiplier of 2.5 (ie, $2.50 per square inch):

4×4 inches = 16 square inches x 2.5 = $40

8×8 inches = 64 square inches x 2.5 = $160

16×16 inches = 256 square inches x 2.5 = $640

24×24 inches = 576 square inches x 2.5 = $1,440

32×32 inches = 1,024 square inches x 2.5 = $2,560

I don’t know about you, but $40 seems awfully small price for a painting by someone who commands $2,560 for a 32×32 canvas.

Here are the same canvas sizes using linear inch pricing, using a multiplier of 20 (ie, $20.00 per linear inch) — as you can see, the difference in price feels a lot less out-of whack:

4+4 inches = 8 linear inches x 20 = $160

8+8 inches = 16 linear inches x 20 = $320

16+16 inches = 32 linear inches x 20 = $640

24+24 inches = 48 linear inches x 20 = $960

32+32 inches = 64 linear inches x 20 = $1,280

Neither of these pricing methods is “right” or “wrong,” but once you determine your method and your multiplier, charging by size can be a very helpful way to eliminate the guesswork, and feel confident about your pricing.

Different Pricing for Different Media?

One possible modifier to your size-based pricing structure is the media you paint with. If you only paint watercolors, or only paint oils, there’s no problem, but if you paint both on canvas and on paper, as I do, it gets a little tricky.

For whatever reason, paintings on paper tend to sell for less than paintings on canvas — even though they require framing, which is an added expense. In my case, if I were to pay to have a piece framed, my costs become much higher for a work on paper than for a canvas painting! What’s an artist to do?

(And remember that pricing your prints is an entirely different topic.)

I don’t have a final answer to this question, except to refer you to the item below…

Step-by-step explanation:

Can someone help me with this question. Will mark brainliest.

Answers

Answer:

Choice 2

Step-by-step explanation:

Ask a friend or older sibling, they always have the answer (Not really)

What is the center of the circle x² + y2 - 4 = 0?

Answers

Answer:

(0,0)

Desmos graphing calculator is a great way to enter the formula of a circle and see a visual example.

Answer: (0,0)

Explanation: The equation for a circle is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the vertex and r is the radius. Rearranging the given equation, we have that x^2 + y^2 = 4. Therefore, the center of the circle is (0,0), and its radius is 2.

Michael read 135 pages in 90 minutes. Select all of the rates that have the same constant rate of change as Michael's rate. 180 pages in 2 hours 180 pages in 2 , hours 60 pages in 30 minutes 60 pages in 30 , minutes 108 pages in 212 hours 108 pages in 21 half , hours 150 pages in 1 hour 150 pages in 1 , hour 225 pages in 150 minutes 225 pages in 150, minutes 210 pages in 2 hour 20 minutes

Answers

Answer:

180 pages in 2 hours

225 pages in 150 minutes

210 pages in 2 hours 20 minutes

Step-by-step explanation:

135 pages : 90 minutes

= 135/90

= 3/2

= 3 : 2

180 pages : 2 hours

180 pages : 120 minutes

= 180/120

= 3/2

= 3:2

60 pages : 30 minutes

= 60/30

= 2/1

= 2:1

108 pages : 2 1/2 hours

108 pages : 180 minutes

= 108/180

= 18/30

= 3/5

= 3:5

150 pages : 1 hour

150 : 60

= 150/60

= 10/6

= 5/3

= 5:3

225 pages : 150 minutes

= 225/150

= 9/6

= 3/2

= 3:2

210 pages : 2 hours 20 minutes

210 pages : 140 minutes

= 210/140

= 3/2

= 3:2

What percent of 65 is 13

Answers

Answer:

20 percent

Step-by-step explanation:

Just divide 100 by 65 and multiply that number by 13.

Answer:

20%

Step-by-step explanation:

This is the answer because:

1) Convert the fraction to a decimal, then multiply by 100:

13 x 100 ÷ 65 = 20

Therefore, the answer is 20%

Hope this helps! :D

Pls help it due in a hour

Answers

Answer:

The coordinates of the Midpoint of AB will be: (1/2, 5)

Step-by-step explanation:

Given the points

A(-2, 6)B(3, 4)

Finding the midpoint between (-2, 6) and (3, 4)

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:6\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)[/tex]

[tex]M.P=\left(\frac{3-2}{2},\:\frac{4+6}{2}\right)[/tex]

        [tex]=\left(\frac{1}{2},\:5\right)[/tex]

Therefore, the coordinates of the Midpoint of AB will be: (1/2, 5)

3. Which number is a factor of 18. but not a multiple of 2? (10 Points)​

Answers

Answer:

Three or nine

Step-by-step explanation:

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