Determine the equation of the line that passes through the given points. (3,18) and (8,33)

Answers

Answer 1
Work out the gradient:
Change in Y/ Change in X
15/5 = 3
Plug this into linear equation of a line : Y=mx + c
Y=3x + c
To work out c plug in known point: 18 = (3)(3) + c
18 - 9 = c
C= 9
Therefore Y= 3x + 9
Answer 2

Answer:

[tex]y=3x+9[/tex]

Step-by-step explanation:

We want to determine the equation of the line that passes through the points (3, 18) and (8, 33).

First, let’s determine the slope. We can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We will let (3, 18) be (x₁, y₁) and (8, 33) be (x₂, y₂). Then it follows that:

[tex]\begin{aligned} m&=\frac{33-18}{8-3} \\ m&=\frac{15}{3} \\ m&=3\end{aligned}[/tex]

Hence, the slope is 3.

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We will substitute 3. for m. We can use either of the two points for (x₁, y₁) but let’s let (3, 18) be (x₁, y₁) for consistency. Thus:

[tex]y-18=3(x-3)[/tex]

Then it follows that:

[tex]\begin{aligned} y-18&=3x-9 \\ y&=3x+9 \end{aligned}[/tex]

Therefore, our equation is:

[tex]y=3x+9[/tex]


Related Questions

Choose the correct words from the drop-down menu to make the true statement.

Answers

Answer:

No solution

Step-by-step explanation:

you get 40≠20

how do you write 0.00525 in scientific notation

Answers

Answer:

5.25×10−3

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The manager of hockey team says that the probability that team win the next match is 0.5 and the probability it will lose is 0.2. Find the probability that the team will: a ) not win b) not lose c) not draw

Answers

Answer:

Step-by-step explanation:

The team draws with a probability of 1 = (0.5 + 0.2) = 0.3

If the team does not win then it loses or draws.

Loosing = 0.2

Draw := 0.3

P(not win) = 0.2 + 0.3 = 0.5

======================

Not lose means wins or draws.

P(not lose) = 0.5 + 0.3 = 0.8

======================

Not Draw means wins or loses

P(not draw) = 0.5 + 0.2 = 0.7

Of course all of these could be done more directly.

P(not win)= (1 - win) = 1- 0.5 = 0.5

P(not lose) =  ( 1 - lose) = 1 - 0.2 = 0.8

P(not draw) = (1 - 0.3) = 0.7

2.
Select the expression that correctly calculates the perimeter of the shape.
A.
40 + 2070
B.
80 + 207
120 + 2070
C.
D.
300 + 100T

Answers

Do you have a picture of the shape?
Do you have a picture of this question?

PLZ HELP WITH THIS QUESTION ASAP. 20 POINTS!!! Brainliest to best answer!! Please answer with detail and show ALL steps to how you completed this problem. I attached a picture of the problem below. THANKS!!! :)

Answers

Answer: 28!

Step-by-step explanation:

so all you need to do is add all the points numbers together, that is how many km you would have to walk! so you count each amount of km to know how far you are walking to their locations in km

Hope this helped! and hope i can get brainliest!

Which two points have an undefined slope? A. (-1,1) and (1,-1) B. (-2,2) and (2,2) C. (-3,-3) and (-3,3) D. (-4,-4) and (4,4)

Answers

Answer:

C

Step-by-step explanation:

Beecause the X value is staying the same, while the Y value changes.

Answer:

C

Step-by-step explanation:

Dan is tiling his rectangular, concrete porch with square, porcelain tiles. The length of the porch is represented by the function l(x)=4x+9, where x is the side length, in feet, of each tile. The width of the porch is represented by the function w(x)=2x+5 .

Answers

Answer:

8x^2+38x+45 so B

Step-by-step explanation:

i got it right on the test

The required equation of the function that represents the area of the porch is A(x) = 8x² + 38x + 45. Option D is correct.

Given that,
Dan is tiling his rectangular, concrete porch with square, porcelain tiles. The length of the porch is represented by the function l(x)=4x+9, where x is the side length, in feet, of each tile. The width of the porch is represented by the function w(x)=2x+5.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the surface area is the amount of area covering the exterior of a 3D shape.

Here,
Length of the porch = 4x + 9
Width of the porch = 2x + 5
area of the porch A(x) = (4x + 9) (2x + 5 )
                                     = 8x² + 20x + 18x + 45
                                     = 8x ² + 38x + 45

Thus, the required equation of the function that represents the area of the porch is A(x) = 8x² + 38x + 45. Option D is correct.


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What is the value of x in simplest form radical form

Answers

Answer:

I think 168 is the answer

The answer is 25
Use pythagoras to find x
24^2+ 7^2 = x^2

-2.4x + 7.12x = -14.16 ​

Answers

Answer:

-2.4x + 7.12x = -14.16

4.72x = -14.16

x = -3

Step-by-step explanation:

hope this helps :)

In a factory, a manager tests 150 products and finds defects in 8 of them. How many defects are likely going to be in a 9,000-unit order?

Answers

8 divided by 150 is .053333 which is a 5% defect on that batch. So 9,000 times .053333 is 479.997 or 480 defective

(1,9) and (6,34) What is that slope

Answers


Slope = 5
m = 25 / 5 = 5 / 1 = 5

It takes 2 workers 10 minutes to plant 3 trees. If all workers plant trees at the same constant rate, how many minutes will it take 4 workers to plant 24 trees?

Answers

40

if it takes two workers 10 minutes to plant 3 trees,then it will take 4 workers 5 minutes to plant 3 trees.3÷24=8,then 5×8=40

If it takes 2 workers 10 minutes to plant 3 trees then it will take 4 workers 40 minutes to plant 24 trees.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The rate at which each worker plants trees.

If two workers can plant 3 trees in 10 minutes, then one worker can plant 3/2 trees in 10 minutes

One worker can plant 1.5 trees in 10 minutes, or 0.15 trees per minute.

Now, we can use this rate to find how long it will take 4 workers to plant 24 trees.

Since each worker plants at a rate of 0.15 trees per minute

Four workers will plant at a combined rate of 0.15 x 4 = 0.6 trees per minute.

To plant 24 trees at a rate of 0.6 trees per minute, we can use the formula:

time = (amount of work) / (rate of work)

Plugging in the values, we get:

time = 24 / 0.6 = 40

Therefore, it will take 4 workers 40 minutes to plant 24 trees.

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x + y divided by y; use x = 9, and y = 10

Answers

Answer:

10

Step-by-step explanation:

x+y/y

9+10/10

9+1

10

Answer:10

Step-by-step explanation:

9+10/10=

9+1=

10

15/4- 4 1/3 I'm dumb and i can't figure this out help me plz

Answers

Answer:

15/4- 4 1/3

15/4-13/3

45/12-52/12

-7/12

Step-by-step explanation:

Answer:

You are not dumb

Step-by-step explanation:

15/4 - 4 1/3 make the 4 1/3 a improper fraction

15/4 - 13/3  find common denominator of 12

45/12-52/12  since 4 goes into 12 3 times, times the top by 3 to get 45. The second one-3 goes into 12 4 times, so times the top by 4 to get 52.

45/12-52/12= 45-52= -7 put the -7 over the 12

-7/12 that is your answer

Which two ratios are equivalent to 10 : 12?
11 : 13 and 20 : 24
10 : 12 and 11 : 13
5 : 6 and 20 : 24
5 : 6 and 11 : 13

Answers

Answer:

10 : 12 is equivalent to 5 : 6 and 20 : 24.

Step-by-step explanation:

You can divide and multiply the ratio by 2 to get an equivalent ratio.

The ratio which is equivalent to 10: 12 are 5: 6 and 20: 24 Therefore, option (C) will be correct.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

As per the given ratio, 10:12.

Divide numerator and denominator by 2

(10/2):(12/2) = 5:6.

Multiply the numerator and denominator by 2

(10×2);(12×2) = 20:24

Hence "The ratio which is equivalent to 10: 12 are 5: 6 and 20: 24".

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enter your answer as a number like this:42

Answers

Im not sure if its y=19
y= 6(5)-11
y=30-11
y=19

A 16 ounce bag of cereal cost $2.88 what is the cost per ounce

Answers

Answer: 0.18 (18 cents) per ounce

Step-by-step explanation:

2.88/16 = 0.18

HELP ASAP LOOK AT PICTURES

Answers

Answer:

Choice D

Step-by-step explanation:

When you find the unit price it will be easier to eliminate the other choices and to find the unit price I found the easiest numbers to work with, so if we do $5 divided by 2 lbs it'll give us $2.5 and that's our unit price. Then for the graphs we are left with choices C and D. So all we have to do is see which one has the line passing through point (2,5) which stands for 2 oranges and $5.

Colin and Brian were playing darts. Colin scored 148. Brian scored 61 more than Colin. What was their combined score?

PLS PLS HELP ME ASAP

Answers

Answer:

357

Step-by-step explanation:

First you would add 61 to 148 for Brian's sore then you would add Brian's score to Colin's score to get 357. Hope this helps! Have a great day!

help mes please have a 20.9 avarge

Answers

Answer:

7

Step-by-step explanation:

2/5 *25=10

10-3=7

7

59-(2c+3)=4(c+7)+c.

Answers

Step-by-step explanation:

[tex]{:}\leadsto [/tex][tex]\sf 59-(2c+3)=4 (c+7)+c [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 59-2c-3=4c+28+c [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 56-2c=5c+28 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 5c+28=56-2c [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 5c+2c=56-28 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf 7c=28 [/tex]

[tex]{:}\leadsto [/tex][tex]\sf c={\dfrac {28}{7}}[/tex]

[tex]{:}\leadsto [/tex][tex]\sf c=4 [/tex]

Answer:

c = 4

Step-by-step explanation:

59 - (2c+3) = 4(c+7) + c

59 - 2c - 3 = 4c + 28 + c

59 - 3 - 28 = 4c + c + 2c

28 = 7c

c = 28 / 7

c = 4

Which is a subset of {1, 2, 4, 5, 6)?
O {0, 1, 2)
(3,4)
O {5, 6, 7)
O (2,6)

Answers

Answer:

I think answer will be

(0, 1, 2)

a large candy bar was 116 calories. the smaller candy bar was 28% less calories. how many calories does the smaller candy bar have?

Answers

Answer: 83.52 calories

Step-by-step explanation:

first candy bar=116 calories

second candy bar= has 28% less calories

to find out the answer we will 28/100=0.28

116x0.28=32.48 calories(less)

116-32.48=83.52 calories for the second candy bar

A plane traveled 336 miles to Carson City and back. The trip there was with the wind. It took 4 hours. The trip back was into the wind. The trip back took 6 hours. What is the speed of the plane in still air? What is the speed of the wind?

Answers

Answer:

Thus, train speed = 70 mph while wind speed is. y = 14 mph

Step-by-step explanation:

Let x = speed of the plane in mph.

Let y = speed of wind in mph.

We are told that The trip there was with the wind. It took 4 hours. The trip back was into the wind. The trip back took 6 hours.

Formula for distance is;

Distance = speed × time

Thus;

(x + y)4 = 336

(x + y) = 84 - - - - (1)

Also;

(x - y)6 = 336

Divide both sides by 6

(x - y) = 56 - - - (eq 2)

Add eq 1 and 2 to give;

2x = 84 + 56

2x = 140

x = 140/2

x = 70 mph

Plug in 70 mAh for x in eq 1.

(70 - y) = 56

y = 70 - 56

y = 14 mph

Thus, train speed = 70 mAh while wind speed is. y = 14 mph

The mass of a bowling ball is 13 lbs and the volume is 102 in. How many lbs per cubic inch is its density? Round to the nearest hundreth​

Answers

Answer:

.13lbs/in

Step-by-step explanation:

Density of bowling ball = 0.127 lbs/inch³

Given that;

Mass of bowling ball = 13 lbs

Volume of bowling ball = 102 inch³

Find:

Density of bowling ball

Computation:

Density = Mass / Volume

Density of bowling ball = 13 / 102

Density of bowling ball = 0.127 lbs/inch³

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Is the square root of 13 a rational or irrational number? Explain.

Answers

Yeah rational number because 13 is an odd number in our numbers are always composite numbers buthelezi this helps

Answer: irrational

Step-by-step explanation:

2x - 12 for x = 18
evaluate each expression for the given value of x.

Answers

Answer:

x=10

Step-by-step explanation:

2x-12 = 18

    +12  +12

2x=20

20/2 = 10

Answer:

24

Step-by-step explanation:

Original equation:

2x - 12 = ?

We know x = 18

So, just plug the value into the equation

2(18) - 12

Multiply 2 by 18

36

Subtract 12 from 36

The answer is 24

Hope this helped :)

8.1(x – 4) = -11.1 + x​

Answers

Answer:

x=3

Step-by-step explanation:

how is ther all my ixl problems here with the answers ;-; wth-

Answers

Answer:

Lol right!!!! :)

Step-by-step explanation:

Answer:

There are answers since people ask the same questions, the questions are either on ixl or on different platforms. People ask for help here and people answer their questions.

Step-by-step explanation:

A pink crayon is made with 12 mL of red wax for every 5 mL of white wax.
Which of the following wax mixtures will create the same shade of pink?

(A) 10 mL of red wax mixed wit 24 mL of white wax

(B) 48 mL of red mixed with 12 of white wax

(C) 13 mL of red mixed with 6 mL of white wax

(D) 36 mL of red mixed with 15 mL of white wax

(E) 60 mL of red mixed with 24 mL of white wax

Answers

The mixture that will create the same shade is D
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