Mathematics High School

Determine an equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the
point (-2, 6)

Answers

Answer 1

Step-by-step explanation:

find 3x + 12y = 1 in terms of y

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x1=-2 and y1=6 and m=4

so using the equation

(y-y1) = m(x-x1)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

Answer 2

y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.

What is the slope-intercept form of a line?

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given an equation of line  3x + 12y = 1

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x₁=-2 and y₁=6 and m=4

so using the equation

(y-y₁) = m(x-x₁)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14

Learn more about slope intercept form here:

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Related Questions

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer:

2 1/3 cm

Step-by-step explanation:

Area = length x width

w = width

7/3 = 6/5w

cross-multiply: 30w = 70

w = 7/3 or 2 1/3

Solve 2a−5≤13.

help please

Answers

Answer:

a≤9

Step-by-step explanation:

Answer:

a ≤ 9

Step-by-step explanation:

2a-5 ≤ 13

add +5 then divide both sides by 2 to isolate the variable

step 1: 2a-5+5 ≤ 13+5 → 2a ≤ 18

step 2: 2a/2 ≤ 18/2 → a ≤ 9

A vegetarian restaurant used 6,680 ounces of spinach last month. This month, with a menu update, it used 10% more than that amount. How much spinach did the restaurant use this month?

Answers

Answer:

what subjet is this

Step-by-step explanation:

Use exponents to write each expression.
6 x 6 x 6 =

Answers

Answer:

6×6×6 = 6³

Step-by-step explanation:

Answer:

6 x 6 x 6 = 216 I believe that's right

Some number was divided into 42. This quotient was then multiplied by 8,after which the resulting product was added to 10. Given this sum totalled to 34,find the initial number.

Answers

Answer:

126

Step-by-step explanation:

In order to find the initial number, we need to create the expression that is being mentioned and solve for the initial value by applying the opposite expressions to isolate the variable.

(((x / 42) * 8) + 10) = 34   ... subtract 10 from both sides

((x / 42) * 8) = 24 ... divide both sides by 8

(x / 42) = 3  ... multiply both sides by 42

x = 126

Finally, we can see that the initial value was 126

Does anyone know how to work this out

Answers

let x represent yellow cubes

blue cubes = 3x

green cubes = 15x

to make this simpler let's just say x = 1

so 1 yellow cube 3 blue cubes and 15 green cubes

so there are 19 cubes in total

1 of them are yellow

so she has a 1/19 chance of picking a yellow cube

Answer:

1/19

Step-by-step explanation:

y = number of yellow cubes

3y = number of blue cubes

5(3y) = number of green cubes

total number of cubes = 19

P(yellow) = 1/19

pls helppppppppppp



Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?

Answers

Answer:

okkk

Step-by-step explanation:

Answer:

I'm gonna say either 3/4 or 7/8. Don't quote me on it tho?!

Step-by-step explanation:

Three friends went to the batting cage. Cameron made 36 hits, Austin made 14 hits, and Jordan made 24 hits. How many hits did the three make in all?
A.
60
B.
50
C.
38
D.
74

Answers

Answer:

36+14+24=74

Step-by-step explanation:

How i figured it out is if you add 36+14 that equals 50 and 50+24=74

that is your answer.

hope this helps;)

A hot air balloon is traveling at a altitude of 2400 feet. It begins to descend at a rate of 75 per minute. What is an expression that represents the rate of descent for the hot air balloon

Answers

Answer:

y=-75x+2400

Step-by-step explanation:

y is the height

-75 is the rate of change so you put that before your x

2400 is your starting value/y intercept

not very good explanation but hope this helps

help me plz plz will mark branliest

Answers

Step-by-step explanation:

On the first question, you would want to put the equation together. To find x you will put 2x+6=40. Subtract 6 on both sides and you will find your x value.

Find the inverse of the function f(x) = 2x - 4.

Answers

Answer:

f⁻¹(x) = 1/2 x + 2

Step-by-step explanation:

f(x) = 2x - 4      y=2x - 4

swap x and y:  x = 2y - 4

solve y:   2y = x + 4

y = 1/2 x + 2

Inverse notation:   f⁻¹(x) = 1/2 x + 2

х²+хy-2y²=0
ху+x-y=1​

Answers

Answer:

I think if you use the differentiate formula then it will work

Which is the better value?

A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70

Answers

A. 6 ounces of hot cheetos

Answer:

B

Step-by-step explanation:

2.16/6 = 0.36 cents per 1 ounce

2.70/10 = 0.27 center per 1 ounce

Therefore B. 10 ounces of hot Cheetos for $2.70

4-3y+(-7y)+6.9=

Fast PLZ!

Answers

Simplifying
7y + -4 = 3y + 6

Reorder the terms:
-4 + 7y = 3y + 6

Reorder the terms:
-4 + 7y = 6 + 3y

Solving
-4 + 7y = 6 + 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
-4 + 7y + -3y = 6 + 3y + -3y

Combine like terms: 7y + -3y = 4y
-4 + 4y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
-4 + 4y = 6 + 0
-4 + 4y = 6

Add '4' to each side of the equation.
-4 + 4 + 4y = 6 + 4

Combine like terms: -4 + 4 = 0
0 + 4y = 6 + 4
4y = 6 + 4

Combine like terms: 6 + 4 = 10
4y = 10

Divide each side by '4'.
y = 2.5

Simplifying
y = 2.5

helpppppppppppp???????????????????????????????????????????????\\

Answers

A. Plane f
B. B, C, F
C. A
D. if you can type two letters in AC, If only one try A

Find the value of x.

Answers

Answer:

110 degrees

Step-by-step explanation:

The sum of all the interior angles of a polygon is always equal to 180(n-2) where n is the number of sides. In this figure, there are 7 sides. This means that the sum of all the interior angles is 180(7-2) = 180 * 5 = 900.

Now, add up all the angles that you know and subtract that from 900 to find the value of x.

900 - (105 + 150 + 140 + 135 + 125 + 135) = 900 - 790 = 110 degrees

110 degrees ^^^^^^^^^

In a bike race Tim rode 7 1/4 miles his teammate Bill rode 8 7/8 how many miles did they ride in all​

Answers

so you add the miles together and you would get 16 1/8 you add the whole numbers and get 15. you have to change the denominator to equal the same thing so it would change to 2/8 instead of 1/4 and then add it up and get 9/8 so you add a whole number and left with 1/8 and the answer is 16 1/8


Select the correct answer.
In which table does y vary directly with x?

Answers

Answer:

Option C.

Step-by-step explanation:

y and x have a Direct variation if the function looks looks like y = mx (b is equal to zero). The only option that can be written like that is option C. And it can be written as

y = 26x

7.0 x 10^3 + 2.0 x 10^2

Answers

Answer:

7200

Step-by-step explanation:

Find the exponents first.

10^3 = 1000

10^2 = 100

So..

7 x 1000 + 2 x 100

Do the multiplication first (BEDMAS - Brackets Exponents Division Multiplication Addition Subtraction).

7000 + 200 = 7200

The table shows the colors of marbles in a bag.

hat is the ratio of green marbles to the sum of red and yellow marbles in the bag?

Answers

Answer:

12:18

Step-by-step explanation:

Answer:

2:3

Step-by-step explanation:

green marbles: 12

red+yellow: 18

12:18

(divide by 6 on both sides)

2:3

estimate and find the quotion in 281 divided by 9

Answers

300 divided by 10
Answer is 30


Write the equation of the line pleaseeee

Answers

Answer:

y = 2/3x -1

Step-by-step explanation:

y intersect is -1 as that's where the line passes the y axis

the slope can be found by finding two points and using the slope formula (y-y)/(x-x)

Describe the possible lengths of the third side of the triangle if the lengths of the other two sides are 11 feet and 18 feet.

Answers

Answer: [tex]6ft < x < 30ft[/tex]

6ft is less then x and x is less then 30ft

Step-by-step explanation:

The possible length of the third side is 7 < x < 29.

What is a Triangle?

Polygon which has three sides and three vertices are called a triangle.

The sum of all the angles of the triangle is 180°.

Given:

The lengths of the other two sides of a triangle are 11 feet and 18 feet.

Let the third side's length is x feet.

The sum of the two sides of the triangle is always greater than the length of the third side of the triangle.

That means,

18 + 11 > x.

And 11 + x > 18.

So, we have a possible choice,

11 + 18 < x

Simplifying,

29 < x.

Arranging in better terms,

x > 29.

Another possible choice,

18 -11 < x

7 < x

Combining both inequalities,

we get,

7 < x < 29.

Therefore, 7 < x < 29.

To learn more about the triangle;

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Hand me over the answers of B and C or perish

Answers

B.the rate of change represents that how much the ticket costs costs per tickets

C.the y intercept represents how much money it costs per 1 ticket

Hope this helps

Have a great day/night

The difference of two number is 3. Their sum is 13. Write and alive a system of equations to help find the numbers

Answers

The numbers are 8 and 5.
8+5=13
8-5=3

what's the length of line AB if point A is at (6,3 and point B is at (8,-8)

Answers

Answer:

Step-by-step explanation:

Solution,

Here,

A=(6,3) (x1,x2)

B=(8,-8) (y1,y2)

AB=?

Now,

(AB)^2=(x2-x1)^2+(y2-y1)^2

Now putting the value of x1,x2,y1,y2

=(3-6)^2+(-8+8)^2

= (-2)^2+(0)^2

= (-4,0)

AB=(-4,0)

Hope it helped you.

Plz mark me brainliest.

On a trip , Joel drove 24 miles more than Rita drove . Together they drove 340 miles . How many miles did Joel drive

Answers

Answer:

U didn't say how many miles Rita drove.

MARKING BRAINLIST!!! In a couplet one statement is _____ and one is ______
A. Agreeing and rejecting
B. Deciding and Acting
C. Informing and Agreeing

Answers

Deciding and Acting.

A couplet can have an open sentence which is the deciding and the closing sentence being the acting.

Taylor purchased 9 pints of ice cream for a party. If each guest will be served exactly 1 2 2 1 ​ pint of ice cream, how many guests can Taylor serve?

Answers

Complete question :

Carly purchased 9 1/2 pints of ice cream for a party. If each guest will be served exactly 3/5 pint of ice cream, what is the greatest number of gusts that Carly can serve

Answer:

15 guests

Step-by-step explanation:

Given that:

Total pints of icecream = 9 1/2

Fraction of ice cream pints per guest = 3/5 pints

Number of guest that can be served :

Total pints / fraction per guest

9 1/2 ÷ 3/5

19/2 * 5/3

95 / 6

= 15.8 guest

Hence, greatest Number of guest that can be served = 15

How can polynomial functions be written when given the zeros?

Answers

Answer:

Write it in it’s factored form

Step-by-step explanation:

For more info you can look it up.

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