Write the equation of the line through the points (4, 5) and (12, 9)

Answers

Answer 1

Answer:

y = 1/2x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 5 / 12 - 4 = 4/8 = 1/2

y = mx+b

slope/m = 1/2

y = 1/2x + b

5 = 1/2(4) + b

5 = 2 + b

3 = b

y = 1/2x + 3

Answer 2

The equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

From the question,

We are to determine the equation of the line passing through the points (4, 5) and (12, 9)

Using the formula,

[tex]\frac{y-y_{1} }{x-x_{1}} = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

From the given information

x₁ = 4

y₁ = 5

x₂ = 12

y₂ = 9

Putting the parameters into the formula, we get

[tex]\frac{y-5}{x-4} =\frac{9-5}{12-4}[/tex]

Then,

[tex]\frac{y-5}{x-4} =\frac{4}{8}[/tex]

[tex]\frac{y-5}{x-4} =\frac{1}{2}[/tex]

Then,

[tex]x - 4 = 2(y-5)[/tex]

[tex]x - 4 = 2y-10[/tex]

[tex]x -2y = -10 + 4[/tex]

[tex]x -2y = -6[/tex]

Hence, the equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

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Related Questions

3/4 + 1/6z = 35/4 solve

Answers

z=48 hope this helps

Answer:

z = 48

Step-by-step explanation:

Given

[tex]\frac{3}{4}[/tex] + [tex]\frac{1}{6}[/tex] z = [tex]\frac{35}{4}[/tex]

Multiply through by 12 ( the LCM of 4 and 6 )

9 + 2z = 105 ( subtract 9 from both sides )

2z = 96 ( divide both sides by 2 )

z = 48

A shirt is marked down 20% off the original price. If the original price was $24.00, what is the sale price of the shirt before sales tax?
i need this now please

Answers

Answer:

19.20

Step-by-step explanation:

$24.00 x 20% =

$4.80

$24.00 - 4.80 =

19.20

The sale price of a shirt after discount is $19.2.

What is discount?

A discount is the reduction of either the monetary amount or a percentage of the normal selling price of a product or service.

Given that, a shirt is marked down 20% off the original price.

The original price was $24.00

Sale price = 24-20% of 24

= 24-0.2×24

= 24-4.8

= $19.2

Therefore, the sale price of a shirt after discount is $19.2.

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Simplify the expression-2(-9g+4)

Answers

Answer:

18g - 8

Step-by-step explanation:

Multiply using the distributive property.

Answer:

18g-8 is the answer

Step-by-step explanation:

You have to do distributive property, which you do -2 by -9g which end sup in a positive 18g,then you multiply -2 and 4, the result is and -8. - by + is -. + by - is -. + by + is +, - by - is +

An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.

Answers

Answer:

The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Step-by-step explanation:

From the question, one bucket dumps water every 18 minutes, say bucket A;

and the other bucket dumps water every 16 minutes, say bucket B.

Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,

that is, both buckets dumped water at 2:30 P.M.

For bucket A, the next times it will dump water will be:

2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.

For bucket B, the next times it will dump water will be:

2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.

From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.

The perimeter of a rectangle is 70cm. If the length of the rectangle is 5cm more than its breadth, find the dimensions of the rectangle.

Plsss help I put 15 points

Answers

Hope it helps man .....

Solve the inequality:


2x−9≥17

Select one:

x≤13

x≥3

x≤3

x≥13

Answers

Answer:

x≥13

Step-by-step explanation:

add 9 to both sides

2x≥26

divide both sides by 2

x≥13

I HAVE 5 MINUTES (15 points)

Answers

Answer:

A

Step-by-step explanation:

5 points The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced? 15% G 25% 75% 40% OF O G OH OJ 5 points​

Answers

Answer:

25 percent

Step-by-step explanation:

60*.25 is 15

60-15 is 45. it is 15 dollars off or 25 percent off

In the figure, ∆BAT ≅ ∆CAT. Which statement is true by CPCTC?










∠ABS ≅ ∠SCT
SB ≅ BC
BT ≅ CT
∠BAT ≅ ∠CTA

Answers

Answer:

∠BAT ≅ ∠CTA

Step-by-step explanation:

hzhdyrhfnv

The sides of the triangles which are congruent are BT ≅ CT, the correct option is C.

What is a Triangle?

A triangle is a polygon with three sides, three angles and three vertices.

The triangle ∆BAT ≅ ∆CAT.

When two triangles are congruent, the corresponding sides are congruent by CPCTC.

It can be understood from the triangle vertices that AT is common side in both the triangles.

BT is corresponding to CT and so is equal.

It seems that your question is incomplete, the complete question is attached with the answer.

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Solve for x please help me

Answers

X is 50 degree 180 - 130

solve 3(x-4)=16+5x show work

Answers

Answer:

hi… I think it's written that way

2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $400 and her room costs $150 per night. The cab fare from the airport to the hotel is $40. If Tamara stays for two nights, how much does the trip cost, not including the cost of food?

Answers

Answer:1180,740

Step-by-step explanation:

2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.

400+300+40=740 this is the cost for only going there and not coming back.

2x + 3 = 5x - 2
4x + 1 = 10x + 3
5x - 5 = 2x + 10
4(x + 5) – 10 = 2
2x + 3 – 4x = x + 6
3(x +5) – 2 = 22

Answers

Answer:

x3r9

Step-by-step explanation:

please help !! you don’t need to explain btw !! :))

Answers

all except for the third option are correct

Which of the following is equal to the expression listed below?

24 + 18

A.
6 + (4 × 3)
B.
6(4 + 3)
C.
(6 + 4)(6 + 3)
D.
(6 × 4)(6 × 3)

Answers

The answer is D because 6•4 is 24 and 6•3 is 18


Hope this helps :)

Answer:

B

Step-by-step explanation:

Its not (A) because the outcome is 24 x 18

Its not (C) because that would be (10)(9) which is the same as multiplication

Its not (D) because that would be (24)(18) which again is multiplication

We are looking for addition of 24 and 18 which is B

6 x 4= 24

6 x 3=18

24+18

Hope this helps (:

2/5(a+2b)^2 (if a=3 and b=-4)

Answers

The answer is 10. Hope this helps.

Multiply the numbers

2/5 •(3-8)^2

Subtract (3-8)

2/5• (-5)^2

A negative base raised to an even power equals a positive

2/5• (5)^2

Reduce the expression with 5.

2•5

10

1. Which of the following is a pair of parallel lines? W = 1/4x - 7 V=1/44+2 W = 4x - 7 V = 1/4x + 2 W = 1/4x - 7 V= 1/4x + 2 W = 4x - 7 V = -4x + 2 C​

Answers

V=1/4x+2 and W=1/4x-7 are parallel because they have the same slope and different y-intercepts.

Write the equation of the line passing through the points -2,3 and -1,-2 in slope intercept and point slope form

Answers

Answer:

y=-5x-7

Step-by-step explanation:

y=-5x-7

Hope you are having a good day!

Answer:

-26

Step-by-step explanation:

-23 + (-1-2) = -26

Answer the following above:

Answers

The answer is 5/6 because

Answer:

0.8333 as a decimal or [tex]\frac{5}{6}[/tex] as a fraction.

Step-by-step explanation:

First, you would divide -5/8 and -3/4 in the parenthesis. Right after, you would divide the numbers you have in the parenthesis and you would end up with 0.8333 or [tex]\frac{5}{6}[/tex] both are equal.

PLEASE HELP, MARKING BRAINLIEST!!!!

These triangles are congruent by _____.

A. AAS
B. SAS
C. HL
D. Not enough information

Answers

Answer:

AAS

Step-by-step explanation:

Angles in left and right corner are congruent (isosceles triangle)

Two right angles in the middle

Help me on this please

Answers

Answer:

D. y = 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Any parallel line to the x-axis will be a horizontal line.

Horizontal lines have a slope of 0.

In that case:

y = 0x + b

y = b

The only answer that fits in the y = b format is D.

A number that is at most 30 as an inequality

Answers

Answer:

n  ⩽ 30

Step-by-step explanation:

Is the following figure a parallelogram? Why?
P
O No, opposite angles are congruent.
O Yes, opposite sides are congruent.
O No, opposite sides are congruent.
O Yes, opposite angles are congruent.

Answers

Yes because opposite sides are congruent

Is this right? I need help pls, I'm failing

Answers

Answer:

its right

Step-by-step explanation:

you are insine or what ever you know what i mine alright im not smart or dum

(8x + 6) ° = ___°
8x =
x =

Answers

Answer:

Step-by-step explanation:

(8x+6)°=62°

8x=62°-6°

8x= 56°

X=(56/8)

X==7°

Can someone please explain this to me i feel like this is really easy but I just don’t get it

Answers

SUPER EASY JUST GOOGLE SEARCH IT ANF YOU SHOULD BE FINE.

Remember the Great Toilet Paper Shortage of 2020? Most stores have
finally restocked. Charmin makes a pack of TP with 2^4 rolls in it. Each roll
has 2^10 individual sheets. Wegman's has a shelf with 2^6 packages on it.
How many sheets are there on that shelf? Final answer must be left in
exponential form. Show the process but not the calculations - unless you
want to but sometimes less is more

Answers

Answer:

2^16 or 65,536

Step-by-step explanation:

First, you'll find the answers to 2^6 and 2^10

2^6=64 while 2^10=1024, then you multiply 1024 by 64 which gives you 65,536.

**or, the easier way is to just add the two exponents together since you see that the bases are the same.



The original price of a play ticket was $36.00. Yolanda bought the ticket at original price and then marked it up 10% and resold the ticket. How
much did she resell the ticket for?
What

Answers

she sold the ticket for $39.50
explanation: you take 36 and time it by 10% and it will give you $3.60 and you add it to 36

Is 1.875 a terminating decimal

Answers

Answer:

Because they are fractions, any rational number can also be expressed in decimal form. Any rational number can be represented as either: a terminating decimal: 158=1.875 15 8 = 1.875 , or. a repeating decimal: 411=0.36363636⋯=0.

Step-by-step explanation:

Terminating decimals are those numbers which come to an end after few repetitions after decimal point. Example: 0.5, 2.456, 123.456, etc. are all examples of terminating decimals.

I tried my best on explaining, sorry if it didn't help.

Question:

What is the other term of removing sets from a universal set?

Thank you. ​

Answers

Answer:

Subset

Step-by-step explanation:

A subset is a group of elements whose values were obtained from a larger set known as the universal set.

For example, say we have a universal set of all the numbers from 10 to 20

{10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20}

A subset of the even numbers include;

{10, 12, 14, 16, 18, 20}

A subset of the odd numbers include;

{11, 13, 15, 17, 19,}

These figures in the subset were derived from the universal set which is the larger set.

Other Questions
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At least a dozen elephants marched with ponderous steps in its preliminary procession, while clowns, acrobats, giants, dwarfs, fat women, cannibals, and hairy savages from Tibet and Madagascar were among the strange wonders that were to be seen at each performance for the small sum of fifty cents, children half price.For weeks the young people had been looking forward to the advent of this marvelous world of curiosities, and the country papers from farther east had given glowing accounts of the great show, which was pronounced greater and more gorgeous than in any previous year. 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