Write the equation for a line in slope intercept form that is parallel to the line 2x + 3y = 6 and passes through the point (0, 4).​

Answers

Answer 1

Answer:

Let us find the slope of the line : x+ 4y = 6

we can write it as 4y = -x +6

y = -(1/4) x + ( 6/4)

slope of the line y= mx + b is m

so here slope = m = -1/4

because we have to find a paraller line so the slope for required line would be same : -1/4

equation of the line having slope m and passing through x1 y1 is :

Y= m( X-x1) + y1

let's plug m= -1/4 x1= -8 and y1 = 5

Y= (-1/4) ( X- -8) + 5

Y= ( -1/4) ( x+8) + 5

Y= (-1/4)( X ) + (-1/4)( 8) + 5

Y= (-1/4) x + 3

Let us now work on second part :

given line is : 2x- 3y = 12

let's write it -3y = -2x +12

y= (-2/-3) x + ( 12/ -3)

Y= ( 2/3) x - 4

slope of this line is 2/3

the required line is perpendicular to it

so the slope of required line = negative resiprocal of this slope =

(-1/ slope of this line ) = -1/( 2/3) = -3/2

Equation of line with slope m= -3/2 and passing through x1= 2 and y1 = 6 is :

Y= m( X-x1) + y1

Y= ( -3/2) ( X- 2) + 6

Y= (-3/2) X - 2(-3/2) + 6

Y= ( -3/2 ) X + 9

Answer : for part 1 : Y= ( 2/3) x - 4

Answer for part 2 : Y= ( -3/2 ) X + 9

Step-by-step explanation:


Related Questions

I need help ASAP, first right answer gets crown :)

Answers

Answer:

The answer is B and D

Step-by-step explanation:

The answers are A and C

A phone company charges a monthly rate of $60 and $0.10 per text sent . Tara sends 100 text messages this month . How much is her phone bill b, going to cost ?

Answers

Answer:

Taras phone bill will be 70 doll hairs.

Step-by-step explanation:

100x.10=10

10+60

70

hope this helps!!!

Answer:

70 dollars

Step-by-step explanation:

0.10 times 100 is 10 dollars. 60 plus 10 equals 70 dollars a

A parkingmeter charges$2 perhour.As a driverparks hercar,she noticesthat the parkingmeterhas15 minutesremainingonitfromthe previousdriver whousedthe parking spot.Ifthedriverinsertsd dollarsintotheparkingmeter and theparkingmeter has 3 hoursremainingon itas a result,write an equationtosolve ford?

Answers

Answer:

3 = 0.25 + 0.5d

Step-by-step explanation:

Given that:

Amount charged per hour = $2

Time left before inserting $d = 15 minutes

Total time after inserting $d = 3 hours

Total time of 3 hours = time left by previous driver + hours purchased with $d

$2 = 1 hour

$d = x

2x = d

x = d/2 ; 0.5d

Since 15 minutes is left before inserting $d

15 minutes to hour ; 15/60 = 0.25

Total time of 3 hours = time left by previous driver + hours purchased with $

3 = 0.25 + 0.5d

8 mi/h= ft/min helppppp

Answers

Answer:

8

Step-by-step explanation:

Mario had 12 apples and gave away x apples. Luigi had 26 apples and gave away three times as many apples as Mario did. How many apples did Mario give away if they had the same number of apples left?​

Answers

Answer:

7 Apples

Step-by-step explanation:

For this question, we can write expressions for Maria's apples and Luigi's apples and form an equation as they end up with the same amount.

Mario starts with 12 apples but gives away x number. This means Mario's final amount of apples can be represented as: 12-x

Similarly Luigi starts with 26 and gives away 3 times the amount of Mario. So the number he gave away can be represented as: 3x (3 times the number Mario gave away). Therefore we can represent Luigi's final number as: 26-3x

Since they both end up with the same number of apples, we can put these expressions equal to each other in an equation to solve for x (the number of apples Mario gave away):

Mario             Luigi

12-x       =      26-3x

12-x=26-3x

Now we just need to move the unknowns to one side and the other terms to the other, combine and solve:

12-x-12=26-12-3x

-x=14-3x

-x+3x=14-3x+3x

2x=14

2x/2=14/2

x=7

Mario gave away 7 apples.

Hope this helped!

Classify the number −25.

Answers

Answer: a negative integer, rational number, and real number

Step-by-step explanation:

I don’t know exactly what you’re asking but here you go

Answer:
Rational, integers, and real numbers


The heights of 200 adults were recorded and divided into two categories.
6' or over
Under 6
Male
14
88
Female
2
Which two-way frequency table correctly shows the marginal freq

Answers

The answer is the first chart which would be A

5 & 6 ? Explain please

Answers

Answer:

5. Rational

6. 4.27 Rational, 0.375 Rational,

0.232342345 Rational, √62 Not rational, 13/1 Rational

Step-by-step explanation:

A rational number is an integer, fraction, terminating decimal, or repeating decimal.

An irrational number  is a number that cannot be expressed as the ratio of two integers.

Hope this helps :)

What is the sum of the measures of the interior angles of the decagon?

Answers

Given parameters:

Number of sides of the regular body  = 10

      A decagon has 10 sides.

Unknown:

Sum of the measures of the interior angles = ?

Solution;

 To find the sum of the interior angles of a decagon; use the expression below:

             Sum of interior angles  =  (n - 2) x 180

where;

  n = number of sides;

So,

         Sum of interior angles  = (10 - 2) x 180 = 1440°

The sum of interior angle of a decagon is 1440°

2x-1+9x+3=57 solve for X

Answers

Answer:

x = 5

Step-by-step explanation:

2x-1+9x+3=57

2x+9x=57+1-3

11x=55

x= 55/11

x= 5

Answer:

x = 5

Step-by-step explanation:

Simplifying 2x + -1 + 9x + 3 = 57

Reorder the terms: -1 + 3 + 2x + 9x = 57

Combine like terms: -1 + 3 = 2 2 + 2x + 9x = 57

Combine like terms: 2x + 9x = 11x 2 + 11x = 57

Solving 2 + 11x = 57

Solving for variable 'x'.

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

Add '-2' to each side of the equation. 2 + -2 + 11x = 57 + -2

Combine like terms: 2 + -2 = 0 0 + 11x = 57 + -2 11x = 57 + -2

Combine like terms: 57 + -2 = 55 11x = 55

Divide each side by '11'. x = 5

Simplifying x = 5

hope it helps

Solve.
x^2 - 5x - 8 = 0

Answers

The values of x are : 6.27 and -1.27

HELP PLEASE I WILL GIVE MOST BRAINLY!!!!!
What are the two answers for this problem? |c - 24| = 7c

Answers

Answer:

c = 3 or c = -4

Step-by-step explanation:

answer 1;

|c - 24| = 7c

     -7     -7

-6c -24 +24 = 0 +24

-6c = 24

-6/-6  = 24/6

c = -4

answer 2;

|c - 24| = 7c

     +7      +7

8c - 24 = 0

8c−24+24=0+24

8c=24

8c/8 =24/8

c = 3

i hope i helped<3

Graph the solution set to this inequality.
-2(x + 6) > -41

Answers

Answer:

please be more specific

Please help please help this is my final

Answers

Answer:
x = 29, C

Explanation: We are given that total angle is 90°, or a right angle. This means that the two complementary angles must equal 90° together.

Create the equation:
2x - 4 + x + 7 = 90

Solve algebraically:
3x + 3 = 90
3x + 3 - 3 = 90 - 3
3x = 87
3x / 3 = 87 / 3
x = 29 or C

Answer:

i think its D I have stood here and looked at it for 5 minutes

Step-by-step explanation:

Which set of ratios below is equivalent to 5:6?

Answers

the correct answer is c 10:12

BRAINLIEST ANSWER!! I need help ASAP!

Answers

Answer:

n = -9.5

Step-by-step explanation:

6n + 15 = -42

6n = -57

n = -9.5

Given m||n, find the value of x

Answers

Answer:

17 is the value of x...

Step-by-step explanation:

9x + 7 = 10x-10 reason ( being alternate angle

or, x = 17

what is the minimum value of the function f(x) = x2 − 10x

Answers

Answer:

-25

Step-by-step explanation:

McDowell Movies charges a $10 monthly fee and $4 per movie rental each month. Titan Videos charges a $15 monthly fee and $3 per movie rental each month. When will cost be the same for both?

I NEEDD HELP ON THIS

Answers

Answer:

✔️✔️✔️✔️✔️✔️✔️✔️✔️✔️

At 30 months hope this helps!

this graph shows how fast the International Space Station travels in orbit around Earth. what is the meaning of the point with an x-coordinate of 2



I can't add two pictures​

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Evaluate -2x^2y, if x=-3 and y=-1.
A. -12
B. 18
C. -18
D. 12

Answers

Answer:

c.-18

Step-by-step explanation:

follow me and -GOOD LUCK-

My interior angle of a shape is 50 degrees. What is my EXTERIOR angle that matches my interior angle?

Answers

Answer:

130°

Step-by-step explanation:

The interior and exterior angles should be supplementary, meaning they add up to 180°.

180-50=130

Hope this helps :-)

Veronica is given a rectangular piece of paper. If the length of Veronica's piece of paper is represented by x2 + 6x – 2 and the width is represented by 3x - 5, find the area of the piece of paper.

Answers

Answer:

3x^3 +13x^2 - 36x + 10.

Step-by-step explanation:

Area = length * width

= (3x - 5)(x^2 + 6x - 2)

= 3x(x^2 + 6x - 2) - 5)(x^2 + 6x - 2)

= 3x^3 + 18x^2 - 6x - 5x^2 - 30x + 10

=  3x^3 + 13x^2 - 36x + 10.

one third divided by five sixths
A. two-thirds
B. two-fifths
C. two-sixths
D. one-fifth

Answers

Answer: B

Step-by-step explanation:

Two- fifths

Answer:

The answer is 2/5 (B)

Step-by-step explanation:

1/3 divided by 5/6

To solve, we need to multiply the reciprocal of the divisor (5/6 in this case)

The reciprocal of 5/6 is 6/5

1/3*6/5 = 6/15 which can be reduced to 2/5

The answer is 2/5 (B)

Hope this helps!

y=-2×+4
x-5y=2
do you know how to do this promble if you don't it's fine

Answers

Answer:

x=2

y=0

Step-by-step explanation:

Substitute -2x+4 for the y value in the second equation to find the value of x. x=2

Then plug 2 in for x in the first equation to find y. y=0

answer x=y-4/2  

Step-by-step explanation:

-4=2x y-4/2=x

x=2+5y

the distance between the two points (-6, 1) and (-4, 5). Round to the nearest tenth.

Answers

Answer:

d = 4.5

Step-by-step explanation:

d = [tex]\sqrt{\s(x2-x1)^{2} +(y2-y1)^{2}}[/tex]

d = [tex]\sqrt{(-4+6)^2+(1-5)^2}[/tex]

d = 4.5

Which table does not represent a proportional relationship? Please give an accurate answer and explanation! thank you so much and good luck. whoever I declare brainiest gets 25 points​

Answers

Answer:

the 2nd one

Step-by-step explanation:

2. If you can buy 6 books for $32.16 online, find the unit price of a book.

Answers

Answer: $5.36 per book

Answer:

$5.36 is the unit rate

Step-by-step explanation:

32.16/6=5.36

Sarah buys a shirt on sale at
Jersey's. The original price was
$28, but the shirt is on sale for 30%
off.
If there is a 5% sales tax, how
much did Sarah pay for the shirt?
(Write the answer as a decimal to 2
places.)

Answers

Answer:

$20.58

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

divide 28 from 30. 2 can go into 3 ones its 2 so subtract its one bring down 8 then the answer is 20

         20

28     _______

         30

        - 2

         ____

          10

       

Lara plants some sunflowers and notices that they grow 1/9 foot per day. How many days will it take Lara's sunflowers to grow to a height of 7 7/12 feet?

Answers

Answer:

68 1/4 days

Step-by-step explanation:

Daily growth of sunflowers:

1/9 foot/day

Height of sunflowers

7 7/12 feet

Time required

7 7/12 ÷ 1/9 = 91/12 × 9 =68 1/4 days or 68 days and 6 hours

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