whats the equation for a line thats perpendicular to 6x-2y=8 when it passes through (6,-5)

( i hope i wrote that right sorry)

Answers

Answer 1

Answer:

Equation of required line is: [tex]\mathbf{x+3y=-9 }[/tex]

Step-by-step explanation:

We need to find equation for a line that's perpendicular to [tex]6x-2y=8[/tex] when it passes through (6,-5)

We will use the slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope m:

When two lines are perpendicular there slopes are [tex]m=-\frac{1}{m}[/tex]

Finding slope of given equation first: [tex]6x-2y=8[/tex]

Writing in slope-intercept form:

[tex]6x-2y=8\\-2y=-6x+8\\y=\frac{-6x}{-2}+\frac{8}{-2}\\y=3x-4[/tex]

Comparing it with slope intercept form: [tex]y=mx+b[/tex] , m= 3

So, slope of given equation is 3

Now, the slope of required equation will be [tex]m=-\frac{1}{m}[/tex]

So, Slope m=-1/3

Finding y-intercept

Using slope m=-1/3 and point (6,-5) we can find y-intercept

[tex]y=mx+b\\-5=\frac{-1}{3}(6)+b\\-5=-2+b\\b=-5+2\\b=-3[/tex]

So, y-intercept is b=-3

Now, finding the equation of required line having Slope m=-1/3 and y-intercept b= -3

[tex]y=mx+b\\y=-\frac{1}{3}x-3[/tex]

Writing in standard form:

[tex]y=-\frac{1}{3}x-3\\y=\frac{-x-9}{3}\\3y=-x-9\\x+3y=-9[/tex]

So, equation of required line is: [tex]\mathbf{x+3y=-9 }[/tex]


Related Questions

Pls help will give brainlest answer

Answers

Answer:

220

Step-by-step explanation:

because i divided 1,760 by 8 i needed to find how many penguin dives in 2 minutes Hope this Helps!

Identify whether each set of ordered pairs is a function or is not a function.

Answers

Answer:

Step-by-step explanation:

To be a function, the x or first number of the pairs can not duplicate. It needs to pass the vertical line test.

A. not a function

B. function

C. function

D. not a function

E. not a function

Properties of isosceles triangle

Answers

Answer:

Had two congruent sides

Has congruent base angles

Without graphing, determine whether the function represents exponential growth or exponential decay. Then find the y-intercept.


A. Exponential growth; 4
B. Exponential decay; 4
C. Exponential growth; 0
D. Exponential decay; 5

I will give brainliest to the correct answer!

Answers

Answer:

Exponential decay; 4

Step-by-step explanation:

This represents exponential decay, because the number which is being raised to the power x is less than one. This means that as x increases, y decreases.

The y-intercept occurs when x is equal to zero. When x = 0, we have [tex]y = 4(5/6)^0 = 4(1) = 4[/tex], so the y-intercept is 4.

Answer:

Now you can give the other person brainliest

2(x+10) i don’t understand it lol help ASAP

Answers

Answer:

Full Question please

2x + 20

Five less than the product of a number and -8 is -77

Answers

Answer:

9

Step-by-step explanation:

-77+5=-72

-72 divided by -8 = 9

8 women and 12 girls can paint a large mural in ten hours. 6 women and 8 girls paint it in 14 hours. Find the time it takes 1 woman to paint it alone

Answers

Answer:

280 hours

Step-by-step explanation:

Use: 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 to construct a line plot. Describe the line plot to the best of your ability in the box below.

Answers

make a graph 0-15 u would have 1 zero 1 one 1 four 1 five 1 six 1 seven 1 eight 3 nines 1 eleven

Step-by-step explanation:

6 ( − 2.1 x − 2 ) + ( 7 x + 5 )

Answers

Answer: −5.6x −7

Step-by-step explanation:

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.
> The rule for the translation can be written as T–5, 3(x, y).
>The rule for the translation can be written as T3, –5(x, y).
>The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
>The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
>Triangle ABC has been translated 3 units to the right and 5 units down.

Answers

Answer:

Option (2) and Option (5)

Step-by-step explanation:

Blue triangle ABC has been translated to form the image triangle A'B'C' (in red).

Let take a point A of ΔABC,

Coordinates of point A → (-1, 3)

Coordinates of point A' → (2, -2)

Rule for the translation will be,

A(-1, 3) → A'(2, -2)

A(-1, 3) → A'(-1 + 3, 3 - 5)

A(x, y) → A'(x + 3, y - 5)

[tex]T_{3, -5}(x, y)[/tex]

ΔABC has been translated 3 units to the right and 5 units down.

Therefore, Option (2) and Option (5) will be the correct options.

Answer:

B and E

Step-by-step explanation:

Which car is not traveling at a constant speed? Explain your reasoning.

Answers

Answer:

cart 3

Step-by-step explanation:

65/1 is not equal to 85/2

Answer:

car 3

Step-by-step explanation:

the other cars like car are equally divided to equal the other results so like car 1 is traveling in 60 miles every 2 hrs and car 2 is 200 miles every 5 hours

A package of 4 pairs of insulated gloves costs ​$25.96 What is the unit price of the pairs of gloves​?

Answers

Answer:

Step-by-step explanation:

25.96/4 = 6.49

Answer:

$6.49 per pair of gloves

Step-by-step explanation:

$25.96 / 4 pairs of gloves = $6.49 per pair of gloves

Mr. Turner bought 12 pounds of carrots to make some cakes. The recipe calls for 3/4 pound of carrots for each cake. How many cakes can Mr. Turner make?

Answers

The answer is 16 cakes

3/4= .75
.75/1=12/x
x=16

Hope this helps :)

Amaya is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.


Starting balance of $97.13
Spent $63.27 at Food Lion
Deposit from work of $415.80
Lunch at Tropical Smoothie for $12.85
Withdrawal of cash at the ATM of $60.00

If reconciled, her bank statement and personal records should have current balance of $

Answers

Answer:

376.81

Step-by-step explanation: 376.81

pretty easy! help pls!

Answers

Answer:

ok C

Step-by-step explanation:

what is 0.371 as a decimal

Answers

Answer:

It is in a decimal.

In a fraction it’s 371/1000

In a percentage 37.1%

9514 1404 393

Answer:

  0.371

Step-by-step explanation:

A decimal number is a string of digits in the range 0-9, with an optional single decimal point (period) somewhere in the string. Usually, leading zeros are not shown, except one leading zero ahead of a decimal point to help reduce errors in transcription.

The number you show, 0.371, is a decimal number.

PLEASE HELP 20 PTS i need it quick!

Answers

Answer:

B. 6 + 0.2x

Step-by-step explanation:

One fifth = 1/5 = 0.2One fifth of x = 0.2xSum of 6 and one fifth of x = 6 + 0.2x

I hope this helps!

Answer:

I think it is C

Step-by-step explanation:

if I am wrong I am soooo sorry

Three friends said their heights were 5 and start fraction 13 over 30 end fraction feet, 5 and one-sixth feet, and 5 and start fraction 68 over 90 end fraction feet. Put the heights of the friends in order from least to greatest. A. 5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction < 5 and one-sixth B. 5 and start fraction 13 over 30 end fraction <5 and one-sixth <5 and start fraction 68 over 90 end fraction C. 5 and one-sixth <5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction D. 5 and one-sixth <5 and start fraction 13 over 30 end fraction< 5 and start fraction 68 over 90 end fraction

Answers

Answer:

[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]

Step-by-step explanation:

Represent the friends with A, B and C

[tex]A = 5\frac{13}{30}[/tex]

[tex]B = 5\frac{1}{6}[/tex]

[tex]C = 5\frac{68}{90}[/tex]

Required

Order from least to highest

First, we convert the given parameters to decimal

[tex]A = 5\frac{13}{30}[/tex]

[tex]A = 5 + \frac{13}{30}[/tex]

[tex]A = 5 + 0.43[/tex]

[tex]A = 5.43[/tex]

[tex]B = 5\frac{1}{6}[/tex]

[tex]B = 5 + \frac{1}{6}[/tex]

[tex]B = 5 + 0.17[/tex]

[tex]B = 5.17[/tex]

[tex]C = 5\frac{68}{90}[/tex]

[tex]C = 5 + \frac{68}{90}[/tex]

[tex]C = 5 + 0.76[/tex]

[tex]C = 5.76[/tex]

So, we have:

[tex]A = 5.43[/tex]      [tex]B = 5.17[/tex]      [tex]C = 5.76[/tex]

Order from least to greatest

[tex]B = 5.17[/tex]       [tex]A = 5.43[/tex]          [tex]C = 5.76[/tex]

Replace them with the original values

[tex]B = 5\frac{1}{6}[/tex]       [tex]A = 5\frac{13}{30}[/tex]      [tex]C = 5\frac{68}{90}[/tex]

Hence, the correct order is:

[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]

Answer:

The answer is 5235 5521 2356

Step-by-step explanation:

Find the two number who sum is 13 and whose product is 40​

Answers

8 and 5, 5 plus 8 is equal to 13 and 5 times 8 equals 40

Answer:

A = 8 and B = 5

Brainly pls

Step-by-step explanation:

the slope of the line whose equation is x+y=6​

Answers

It would be or come up as -1

A trapezoid has verities A(-5, 4), B(-3, 2) C(-7, -2) and D(-7, 2). It is transformed according to the rule

Answers

Not enough info to answer the question it should have 2 trapezoids to compare if your talking about transformations

If the measure of angle 3 is equal to (2x + 6)° and x = 7, which statements are true? Check all that apply.


3 lines intersect to form 6 angles. From top left, clockwise, the angles are 1 (90 degrees), 2, 3, 4, 5, 6.

The measure of angle 6 is 20°.

The measure of angle 5 is 70°.

The measure of angle 2 is 80°.

Angles 2 and 5 are complementary.

Angles 5 and 6 are supplementary.

Angles 1 and 4 are supplementary.

Answers

Answer:

The answers are

A. The measure of angle 6 is 20"

B. The measure of angle 5 is 70"

F. Angles 1 and 4 are supplementary

Hope this Helps!

Answer:

1,2,6

Step-by-step explanation:

ON EDGE.2020

The interest on an investment varies directly as the rate of interest. If the interest is $43 when the interest rate is 4%, find the interest when the rate is 8%.

Answers

9514 1404 393

Answer:

  $86

Step-by-step explanation:

Since the interest varies directly, doubling the rate will double the interest.

The interest is $86 when the rate is 8%.

ALGEBRAIC model that represents the following situation: "A local fair charges an entrance fee of $5, and costs $1.25 per ride.

Answers

Answer:

y = 1.25x + 5

Step-by-step explanation:

The entrance fee is fixed, meaning it does not change. It is $5 for any person that wants to enter.

y = mx + b

only rates that change is dependent on how many rides you go on.

so 1.25 is your slope, m

y = the amount you will spend

x = the amount of rides you go on

b = the cost to enter the fair -- this is fixed.

put the equation together

Plz help. Write an equation of the line
y=mx+b format

Answers

y=1x-2 should be it. from point a to point b it’s down 8 right 8. 8/8=1. then -2 is your b.
Okay. If we were writing this in y=mx+b, we know that m is the slope and b is the y-intercept.

On the graph, we can see that the line crosses the -2 on the y-axis. So, -2 is the y-intercept(b).

The rise over run is 8 down/up and 8 across.

So your answer should be y=-1x-2. Since the line is going down, the slope is negative.

Hope this helps!

whats the answer? help lol​

Answers

The final and final answer is 80

What is 38 percent of 22

(In percentage) :)

Answers

Answer:

6.6%

Step-by-step explanation:

30% of 22 is 6.6%

Feel free to give brainliest.

Have an awesome day!

Answer:

I think it is 172.73

Step-by-step explanation:

I am so sorry if i am wrong

Solve 126 = 14x
*Only enter the number for what x = in the box*

Answers

Answer:

x = 9

Step-by-step explanation:

divide both sides by 14

Answer: x = 9.

Step-by-step explanation: Step 1: Flip the equation.

14x=126

Step 2: Divide both sides by 14.

14x /14

=

126 /14

x=9

A race car driver is doing a time trial of a new car on a straight track. The car's distance from the timekeeper is represented by y=293x+50, where x is time in seconds and y is distance in feet from the timekeeper's position. How many feet from the timekeeper is the race car at the beginning? It is ft from the timekeeper.

Answers

Answer:

The distance at which the timekeeper is the race car at the start is 50 feet.

Step-by-step explanation:

You know that the car's distance from the timekeeper is represented by

y=293*x +50

where x is time in seconds and y is distance in feet from the timekeeper's position.

You want to determine how far the timekeeper is from the race car at the start. That is, the distance the timekeeper is from the car when the time is equal to zero.  This indicates that x = 0. Replacing x by that value in the expression of the distance of the car from the timekeeper as a function of time and solving:

y=293*0 +50

you get:

y=50

The distance at which the timekeeper is the race car at the start is 50 feet.

The distance from the timekeeper to the race car at the beginning is 50 feet.

Let the time be x.Let the distance be y.

Given the following data:

[tex]y=293x+50[/tex]Time = 0 seconds (at the beginning).

To calculate how many feet (distance) from the timekeeper is the race car at the beginning:

You should note that, the time of the race at the beginning would be equal to zero (0) seconds.

Hence, the start time is equal to zero (0) seconds.

Substituting the value of x into the eqn, we have:

[tex]y=293(0)+50\\\\y=50[/tex]

Distance = 50 feet.

Read more: https://brainly.com/question/14703849

Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y=1/5x-6

Answers

Answer:

C I think

Step-by-step explanation:

Answer:x - 5y = 30Hope this helps!!

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