What is the equation of a line PARALLEL to y = 1/3x – 4 that passes through (9, 8)?

Answers

Answer 1

Answer:

[tex]y=\frac{1}{3} x+5[/tex]

Step-by-step explanation:

We know that since the equation of the line that we need to find has to be parallel, it must have the same slope. Also, the slope-intercept formula is:

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

Plugging in the values we know:

[tex]8=\frac{1}{3} (9)+b[/tex]

We solve for [tex]b[/tex] and get:

[tex]b=5[/tex].

So, the equation of our new line must be:

[tex]y=\frac{1}{3} x+5[/tex]


Related Questions

Determine the x- and y-intercepts of the graph of x – 4y = 8. Then plot the intercepts to graph the equation.​

Answers

Answer:

the x is -8,0 and the y is 0,2

hope this helps!

In Mrs. Kee’s class there are 20 boys and 16 girls. 25% of her students wore a jacket to class. How many students wore a jacket to class?

Answers

Answer: 9

Step-by-step explanation: there are 36 students in total. Since 25% of students wore a jacket, you would multiply 36 by 1/4 which gets you 9, so 9 students wore jackets

CAN ANYONE PLZZZ HELP ME? I WILL MARK THE FIRST AND THE RIGHT ANSWER THE BRAINLIST!!!

Answers

Answer:

The answer would be 17.

Step-by-step explanation:

12y = 4x + 8
A=
B=
C=
Can someone please help!!

Answers

12y = 4x + 8

A = 12y -4x + 8

B = 8yx = 8

C = yx =8/8

=yx = 1

Can someone help me

Answers

m < 1 = 130°

m < 1 = 130°m < 2 = 50°

We know this is a linear pair, therefore the two angles must add up to 180°

[tex](m < 1 )+ (m < 2 )= 180[/tex]

[tex]5x + x + 24 = 180[/tex]

Combine like terms

[tex]6x + 24 = 180[/tex]

Isolate the variable

[tex]6x = 156[/tex]

[tex]x = 26[/tex]

Plug in 26 for x in both of the individual angle equations.

[tex]m < 1 = 5x[/tex]

[tex] = 5(26)[/tex]

[tex] = 130[/tex]

[tex]m < 2 = x - 24[/tex]

[tex] = (26) + 24[/tex]

[tex] = 50[/tex]

A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.

I hope this helped. Let me know if you have any questions!

75 is % of 300 what is the answer

Answers

Answer:

25%

Step-by-step explanation:

Chang bought 15 pounds of flour for $7.
How many pounds of flour did he get per dollar?
Ũ poundsper dollar

Answers

he got 2.14 pounds of flour for each dollar

Answer:

2.14 pounds of flour per dollar

Step-by-step explanation:

This is a simple ratio. All you need to do is divide the amount he paid from the pounds to get how many he got for every dollar.

Segment addition, step by step on how u figure it out.

Answers

Answer:

Step-by-step explanation:

2x - 8 + x + 17 = 39

3x + 9 = 39

3x = 30

x = 10

2(10) - 8 = 20 - 8= 12 m for AB

10 + 17 = 27 m for BC

Urgent help !!

The word "or" in probability implies that we use which operation?
A. Addition
B. Multiplication
C. Multiplication then subtraction
D. Subtraction

Answers

Answer:

its c

Step-by-step explanation:

i think im sorry if it wrong this a unusal term for operation

Simplify
6 minus the square root of 25 over 4
I would appreciate some help :)

Answers

6-5 (the square root of 25) is 1, so the answer is 1/4 or 0.25

Please hurry!! (But no rush, thank you)

Answers

Answer:

The answer is d 3 to the power of 108

Answer:

c

Step-by-step explanation:

:) srry if its wrong

n+5= -5

What is n? Thank you

Answers

Answer:

the answer is -10 -10+5=-5

-10 because 10-+5 so it should be -10

A man drives 3 km east from home to the store and then 2 km west to a friend’s house. What is his displacement from his starting point at home?

Answers

Answer:

1 kilometer east

Step-by-step explanation:

if you subtract 2 from 3 you get one, plus it's east with the bigger number, so that's why it's one kilometer east

The displacement from his starting point at home is 1 km.

What is a vector?

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

A man drives 3 km east from home to the store and then 2 km west to a friend’s house.

The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction.

The displacement from his starting point at home is calculated as,

Displacement = 3 - 2

Displacement = 1

The displacement from his starting point at home is 1 km.

More about the vector link is given below.

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Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.

Work out the percentage increase in the cost of her car insurance

Answers

Answer:

The percentage increase in the cost of her car insurance is 260.4%

Step-by-step explanation:

First, we are going to find by how much the insurance increased:

We know that this year she pays £883 and the last year she paid £245, so

insurance increase = £883 - £245

insurance increase = £638

Now, we are going to find what percentage of the last year price is the insurance increase. So, to find the percentage increase in the cost of the car insurance, we need to divide the insurance increase by the last year price and multiply the result by 100%

percentage increase = (\frac{638}{245} )(

245

638

) (100%)

percentage increase = (2.604)(100%)

percentage increase = 260.4%

We can conclude that Jo's car insurance cost increased 260.4%

explain how the digit 5 in the number 484.5 and 635.82 are different ​

Answers

Answer:

The decimal point.

Explanation:

in 484.5 the 5 is behind the decimal point. Meaning that it isn't quite a full number.

In 635.82 the 5 is in front of the decimal point. Meaning that this is a whole number.

In digit 484.5, 5 represents the 5 tenth and in digit 635.82, 5 presents 5 ones.

What is place value?

Place value is the estimation of a digit's value based on where it appears in a number

For instance, in digit 27, there are, 2 tens, and 7 ones.

The given digits are 484.5 and 635.82,

In the digit  484.5 the place value of 5 is 0.5 or 5 tenth,

In the digit 635.82 the place value of 5 is 5 or 5 ones.

Therefore, in digit 484.5, 5 represents the 5 tenth and in digit 635.82, 5 presents 5 ones.

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Which number is IRRATIONAL?
A) 47
B)
0.09
C)
15
D)
8
45

Answers

Your answer would be B. 0.09, the reason being is that any number that has a 0 and then a decimal point is irrational (or a regular fraction

A supermarket offers 8 bags of pretzels for $10. What is the cost of 1 bags of pretzels?

Answers

Answer:

$1.25

Step-by-step explanation:

Answer:

$1.25

Step-by-step explanation:

If 8 bags are $10, 1 bag will be 10/8.

10/8=1.25

1 bag of pretzels costs $1.25.

Hope this helps!! Have a great day C:

Which of the binomials below is a factor of this trinomial?
6x2 - 6x - 72

Answers

[tex]6 {x}^{2} - 6x - 72 = [/tex]

[tex]6( {x}^{2} - x - 12) = [/tex]

[tex]6(x - 4)(x + 3)[/tex]

Emma earned $120 at her part-time job.
She also received a bonus of 20% of her
salary for additional hours worked. How
much did Emma earn in all?

Answers

Answer:

She earned $144 in total.


There are 6 m spaces help

Answers

Answer with step-by-step explanation:

If the comparison is 5 cm:6 m, then the numbers would be 5:600. If so, we have to multiply each of the dimensions by 5/600.

7.5 cm = 1/16 m

9 cm = 3/40 m

6 cm = 1/20 m

3.5 cm = 7/240 m

Hope this helped!

Factor the Greatest Common Factor 6x+12

Answers

Answer:

6 is the greatest common factor

Step-by-step explanation:

6 goes into 6 once evenly

6 goes into 12 twice evenly

6(x + 2)

2.4(x - 6) = -5.6x + 8​

Answers

Let's solve your equation step-by-step

2.4(x-6)=-5.6x+8

Step 1: simplify both sides of the equation

2.4(x-6)=-5.6x+8

(2.4)(x)+(2.4)(-6)=-5.6x+8 (distribute)

2.4x+-14.4=-5.6x+8

2.4x-14.4=5.6x+8

Step 2: Add 5.6x to both sides.

2.4x-14.4+5.6x=-5.6x+8+5.6x

8x-14.4=8

Step 3:Add 14.4 to both sides

8x-14.4+14.4=8+14.4

8x=22.4

Step 4 : Divide both sides by 8

8x/8 =22.4/8

Answer : x=2.8

20 adults and 15 children are going to attend a musical evening. The organizers have arranged the tables in such a way that there is equal number of adults and children on each table and no one is left over. What is the GREATEST number of tables that the organizer can set up ?

Answers

Answer:

5 tables

Step-by-step explanation:

if four adults and three children are seated at each table, there can be a total of 5 tables.

7. Which is better? 500 people giving you $200 each or 200 people
giving you $500 each? Explain.

Answers

Answer:

both will give you the same amount of money, $100,000, so I would consider the fact that I'd rather only have 200 people give me money then 500. So I would say 200 people giving me $500 would be the best option

please help :) :) Math is hard

Answers

Answer:

Hard math okay cant get

Step-by-step explanation:

Can someone help please?

Answers

Answer:

C

Step-by-step explanation:

If you reduce 21/28 you get 3/4 and if you reduce 12/16 you get 3/4 which makes them both proportional.

Solve
- 5 3/4 - 3 1/2 = ???

Answers

Answer:

-9 1/4

Step-by-step explanation:

- 5 3/4 - 3 1/2

= -23/4 - 7/2

= -23/4 - 14/4

= -37/4

= - 9 1/4

Answer:

-9 1/4 and as a decimal its (Decimal: -9.25)

Step-by-step explanation:

Hopefully i helped <3

Three sides of a triangle are consecutive even integers. The
perimeter of the triangle is 48 in. Find the side lengths of the
triangle.

Answers

Answer:

The side lengths of the triangle are 14, 16, and 18.

Step-by-step explanation:

(x) + (x + 2) + (x + 4) = 48

3x + 6 = 48

3x = 42

x = 14

(14) = 14

(14 + 2) = 16

(14 + 4) = 18

The required lengths of side of triangle are 14 in, 16 in and 18 in.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Sides of a triangle are consecutive integers.

Also given that,

Perimeter of triangle is 48.

Let the sides of triangle are x, x+2 and x +4.

x + x + 2 + x + 4 = 48

3x = 48 - 6

3x = 42

x = 14

The length of the triangles  

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18

The side lengths of the triangle are 14, 16 and 18.

To know more about Triangle on:

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Is 48.4 closest to 49 on a number line

Answers

Answer:

if there are any less than 4.84 then yes it is.

Step-by-step explanation:

please give brainliest and hope this helps

1/a+1/b=1/x solve for x

Answers

Answer:

x = [tex]\frac{ab}{b+a}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex] = [tex]\frac{1}{x}[/tex] ( express the sum on the left as a single fraction )

[tex]\frac{b+a}{ab}[/tex] = [tex]\frac{1}{x}[/tex] ( cross- multiply )

x(b + a) = ab ← divide both sides by (b + a)

x = [tex]\frac{ab}{b+a}[/tex]

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