b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).

Answers

Answer 1

Answer:

y = 2x + 13 or -2x + y = 13

Step-by-step explanation:

1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...

2y = -x + 6 - > y = -1/2x + 3

2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...

y = 2x + b

3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)

3 = 2(8) + b

3 = 16 + b

-13 = b

b = 13

4) Now, we know that b = 13 and the slope is 2. Therefore...

y = 2x + 13

Also note, if you want this equation in standard form, it would be...

-2x + y = 13


Related Questions

Kevin bought 5 tickets to a concert for $115. How much will it cost for 8 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:

Answers

Answer: $920

Step-by-step explanation:  

$115x8=$920 which is the total cost of eight tickets

First divided five from 115 and then the answer I got was 23 then I multiplied it by 23 and then I got 184 and so, Eight tickets cost $180

A line passes through the point (-6,9) and has a slope of 3/2. Write an equation in slope-intercept form for this line.

Answers

Answer:

y=3/2x+18

Step-by-step explanation:

Hi there!

We are given a point (-6,9) and a slope of 3/2

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y intercept

Since we already know the slope of the line as 3/2, we can substitute it as m into the equation:

y=3/2x+b

Now let's find  b

Since the equation of the line passes through (-6,9), we can use it to help solve for b

Substitute -6 as x and 9 as y:

9=3/2(-6)+b

Multiply

9=-9+b

Add 9 to both sides

18=b

Substitute 18 as b into the equation.

y=3/2x+18

Hope this helps!

Can somebody pls help me I’ve been stuck for hrs and I’m new to geometry:(

Answers

Answer:

1 )

side PL = AH given

side NM = SF given

Side LM = HF

Make sure you put a line above the sides when writing it down and a squiggle ontop of the equal sign

2)

Side DE = XU Given

Side CF = WV Given

Side DC= XW Given

side EF=UV Given

3)

Side NM = ET Given

Side NO = TU Given

<MNO = <TEU Given

Answer:

OPLMN is congruent to YAHFS

DEFC is congruent to XUVW

ONM is congruent to UET

Step-by-step explanation:

just change the "is congruent to" to the congruent sign also you need to use the excat order

Sry for late response

The graph shows the number of possible passengers for a given
number of roller coaster cars that leave the platform. Complete parts a
and b.

Answers

Answer:

a. Use two sets of coordinates to write an equation to describe the relationship.

m = [tex]\frac{24-16}{3-2} = \frac{8}{1}[/tex]

y = 8x

b. Interpret the equation in words.

Each roller coaster car holds  8 passengers.

True or False?
If you graph the points (2,4) and (-1.-1). Do they would represent a proportional
relationship.

Answers

Answer:

1

Step-by-step explanation:

i need help on this pls

Answers

Answer:

the answer is 15 bc 30-15=15

Step-by-step explanation:

Answer:11?

Step-by-step explanation:30 buldogs

                                             pirates 10 plus star 9 19 in 30 wwhats left

1.1x10^5 in standard notation

Answers

Answer:

110000

Step-by-step explanation:

first, expand 10^5, which is 100000

use a calculator (or long multiplication) to multiply 1.1*100000, which is 110000

Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ? ​

Answers

Answer:

243 km

precio de los kilómetros: $2357.10

Step-by-step explanation:

precio total = tarifa mínima + precio de los kilómetros

Para x kilómetros,

P = 490 + 9.7x

P = 2847.1

490 + 9.7x = 2847.1

9.7x = 2357.1

x = 243

precio de los kilómetros: 243 × $9.70/km = $2357.10

Respuesta: 243 km

precio de los kilómetros: $2357.10

If 7 boxes of crackers have a total of 98 crackers, how many crackers are in each
box?

Answers

14 in each box. 98/7=14

Answer:

1 box = 14 crackers.

Step-by-step explanation:

7 boxes = 98 crackers

=> [tex]\frac{7 boxes}{7} = \frac{98 crackers}{7}[/tex]

=> 1 box = 14 crackers.

Therefore, each box will have 14 crackers.

Hoped this helped.

[tex]GenuisUser[/tex]

l=3cm×b=4cm×h=2cm
Can u pls help​

Answers

Answer:

24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm

Step-by-step explanation:

3 x 4 x 2 = 12

How much water can the large water hold?

Answers

Answer:

700 ml

Step-by-step explanation:

If the 15cm bottle holds 500ml of water, you can create the ratio of 15:500, which simplifies to 3:100.

Since the second bottle is 21cm, you find 21:x.

Because you already have 3:100 as given from the first bottle, if you multiply both sides by 7 you get 21:700.

This means the second bottle holds 700ml.

Answer:

700 mi of water

Step-by-step explanation:

We can divide 21 by 15 to how many times greater they are to each other

21÷15=1.4

Since the 15 cm bottle of water can hold 500 mi we multiply 500 • 1.4 = 700mi

Brainliest please

There are 30 boys in 6th grade. The number of girls in 6th grade is 40. Abigail says that means the ratio of the number of boys in 6th grade to the number of girls in 6th grade is 4:3. Is Abigail correct? If not, what is the correct answer?

coins
You can earn 5 coins

Hint
Try writing two equivalent fractions with a variable representing the unknown quantity and then solving for the variable. For example, if a:b is equivalent to c:d, then ab=cd.






Correct Ratio10:203:43:7

Answers

Answer:

No because in question the boys is first and girls are second so according to your question the correct ratio is 3:4

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

You have 64 coins, consisting of pennies, nickels, and quarters. The value of the coins is $4.60. You also know that you have three times as many nickels as quarters. Find the quantity of each type of coins


Number of pennies =


Number of nickels =


Number of quarters =

Answers

Answer:

There are 20 pennies, 33 nickels and 11 quarts.

Step-by-step explanation:

Total number of coins = 64 Amount of money = $4.60 = 460 cents

x = pennies   y = nickels   x = quarters

y x 3 = x

x + y + z = 64 coins

x + 5y + 25z

x + 4z = 64

x + 40z = 460

x = 20  z = 11

y = 3z = 33

how to do the first question?​

Answers

Answer:

DUDE MAYBE SHOW THE GRAPH ????

grace records the air temp throughout the day in a table. convert graces measurements from degrees °F to degrees °C using formula shown below

Answers

Answer:

...

Step-by-step explanation:

solve for x, find the measure of all angles hurryyyyyyy! ​

Answers

Answer:

x=6 as 180 in triangle take away 150 30 by 5 is 6

Which expression is equivalent to -14x + 28?

Answers

Answer:

B. 2x-3

Step-by-step explanation:

14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.

I need a little help with trigonometric ratios. What is the ratio to find x? Please provide an explanation to get brainliest.

Answers

Answer:

tan 72 = 6/x

OR

cos 72 = x/15

Step-by-step explanation:

A good way to remember trig ratios is this

SOH CAH TOA -

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

You can find x in a few different ways.

If you did tangent, it would be

tan 72 = 6/x (because tangent is opposite over adjacent)

Or, there's also the pythagorean theorem...

What is the answer to this question?

Answers

Answer:

x = 1/5

Step-by-step explanation:

yeah-ya........ right?

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6

Answers

The answer will be a drum please the answer is A

Anju's office uses paper cups shaped like cones to serve water. Each cup has a maximum diameter of 8 cm and a height of 10 cm. Anju fills the cup to 3/4 of its height to prevent spills. What is the approximate volume of water in Anju's cup?

Answers

Answer: 126 cubic centimeters

Step-by-step explanation:

volume = (pi)(r^2)(1/3)(h)

diameter = 8 so radius = 4

4 squared is 16

multiply height by 3/4

10(3/4) = 30/4 = 15/2

Multiply this value by 1/3

15/2 x 1/3 = 15/6 = 5/2

(pi)(25)(5/2)

16x5/2 = 80/2 = 40

(pi)(40)

note: you can substitute 3.14 with pi or use actual pi depending on whether or not you have access to a calculator. they will both round to 196.

126 cubic centimeters

94.2 cubic centimeters is the approximate volume of water in Anju's cup.

To find the approximate volume of water in Anju's cup, we can calculate the volume of a cone using the formula:

Volume = (1/3) × π × r² × h

Given that the cup has a maximum diameter of 8 cm, the radius (r) would be half of that, which is 4 cm.

The height (h) is 10 cm, but Anju fills the cup to 3/4 of its height, so the filled height would be (3/4) × 10 cm = 7.5 cm.

Substituting these values into the formula:

Volume = (1/3) × π × (4 cm)^2 × (7.5 cm)

Volume = (1/3) × 3.14 × 16 cm^2 × 7.5 cm

Volume = 12.56 cm² × 7.5 cm

Volume = 94.2 cm²

Therefore, the approximate volume of water in Anju's cup is approximately 94.2 cubic centimeters (cm³).

To learn more on Volume click:

https://brainly.com/question/13798973

#SPJ2

A recipe needs 1/2 cup of water for every 2 cup at of sugar.if toy plan to use 8 cups of sugar,how much water will you need?

Answers

4 cups of water is your answer.

Step-by-step explanation:

For what value of P, the binary number 1910, represents 14? ​

Answers

Answer:

1110

Step-by-step explanation:

14 in binary is 1110

a
What is the equation of the line that passes through the point (3, 2) and has a slope
of 2/3?

Answers

Answer:

y=2/3x

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the point (3,2) and has a slope of 2/3

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

Since we are already given the slope, we can substitute it into the equation as m

y=2/3x+b

Now we need to find b

Since the equation passes through the point (3,2), we can plug its values into the equation to solve for b

Substitute 3 as x and 2 as y into the equation:

2=2/3(3)+b

Multiply

2=2+b

Subtract 2 from both sides

0=b

Substitute 0 as b into the equation

y=2/3x+0

Simplify:

y=2/3x

Hope this helps!

Find an equation of the circle whose diameter has endpoints (1,1) and (-5,-3) .

Answers

Answer:

(x+2)^2 + (y+1)^2 =13

Step-by-step explanation:

pls help will mark as brainlist ​

Answers

Step-by-step explanation:

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 6 side

n=6

sum of interior angles of a hexagon =(6−2)×180°

=720°.

______________________________________

In n -sided polygon,

sum of interior angles =(n−2)×180°

Hexagon has 10 side

n=10

sum of interior angles of a hexagon =(10−2)×180°

=1440°.

hope this helps you.

Which postulate or theorem proves that these two triangles are
congruent?
O HL Congruence Theorem
ASA Congruence Postulate
O SAS Congruence Postulate
• AAS Congruence Theorem

Answers

Answer:

AAS Congruence Theorem

Step-by-step explanation:

the lines in the angle show similarity. so angle FGJ= angle HJG, similarly, angle F= angle H.GJ is the same as JG so this side of both triangles is congruent. since the order of congruency is the same (triangle GHJ: angle H, angle HJG, then JG; triangle JFG: angle F, angle FGJ, then GJ) and the congruent side length isn't between the congruent angles, it's AAS

[-2], absolute value of -2 is:

Answers

Answer:

answer is 2

Step-by-step explanation:

absolute value of -2 is 2

Answer:

2

Step-by-step explanation:

circle math problem,, area

Answers

Answer:

(E). (33/2)π + 18  

Step-by-step explanation:

The reflex angle = 360 - 30 = 330 degrees.

Length of the curved part = (330/360) * 2π*9 = 33π/2.

The length of the straight lines = 9 + 9 = 18

So the required perimeter = 18 + 33π/2

PLEASE HELP
What is the explicit formula for this sequence?
-6, -2, 2, 6, 10, ...

Answers

^ an = (-6) + (n-1)4

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