The points (5, 8) and (8, 7) fall on a particular line. What is its equation in point-
slope form?

Answers

Answer 1

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{8}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{5}}}\implies \cfrac{-1}{3}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{5})[/tex]


Related Questions

Round 112.3398 to the nearest hundredth. Enter your answer in the space
provided.

Answers

Answer:

112.34

Step-by-step explanation:

The 2nd digit after the decimal point is in the hundredths position.

• If the digit following is ≥ 5 then round up

• If the digit following is < 5 then leave digit as it is

here the digit following the 3 in the hundredths position is 9 so round up

112.3398 ≈ 112.34 ( to the nearest hundredth )

actually what is this?

Answers

Answer:

x²-25=?

Step-by-step explanation:

x² is known as a positive number.A positive number is any number more than 0

so we can there fore assume it's 4 so 4-25 no we can't so we divide

4÷25=0.16 it is a decimal.

Bernard typically runs x km/hour. While he was sick, he only ran 41. 5 km/hour. What equation represents that the difference in his speeds is 13. 5 km/hour? x – 41. 5 = 13. 5 41. 5 x = 13. 5 13. 5 – x = 41. 5 13. 5 – 41. 5 = x.

Answers

oh man this is complicated

Step-by-step explanation:

Typical speed of Bernard= x km/hr

Bernard's speed while sick= 41.5 km/hr

the difference in the speed=13.5 km/hr

the equation representing the difference will be:

x-41.5=13.5 km/hr

a cone has a height of 4.5 inches and a diameter of 12 inches. What is its volume, in cubic inches?

Answers

Answer:

54π

Step-by-step explanation:

The volume for a cone is πr²h/3, which if we replace the number in, we get :

π6²4,5/3, which is approximately 54π

Hope it helps :)

can you tell me the answer please

Answers

Answer:

11

Step-by-step explanation:

140-129=11

Answer:

140 - 129

Step-by-step explanation:

If Alyanna has more cookies than Alyssa, and we want to find how much more, we need to subtract Alyssa's amount from Alyanna's amount

Therefore, Alyanna has 11 more cookies than Alyssa.

what is 180.2 rounded to the nearest hundred

Answers

Answer:

The answer is 180.20

Have a great day!

Find the length y of the minute hand in 3 sf
Please help

Answers

Answer:

135 cm

Step-by-step explanation:

[tex] \cos(43) = \frac{75}{y} [/tex]

[tex]y = \frac{75}{ \cos(43) } [/tex]

[tex]y = 135[/tex]

Answer:

y ≈ 102 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{75}{y}[/tex] ( multiply both sides by y )

y × cos43° = 75 ( divide both sides by cos43° )

y = [tex]\frac{75}{cos43}[/tex] ≈ 102 cm ( to 3 sf )

And here’s the second one for the Brainly

Answers

Answer:

i guess it is 3a^3-20a^2+16a-24

A clothing store is having a sale on shirts and jeans. 4 shirts and 2 pairs of jeans cost $64. 3 shirts and 3 pairs of jeans cost $72. What is the cost of one shirt? What is the cost of one pair of jeans

Answers

Answer:

Shirt:8 ; jsans:16.

Step-by-step explanation:

Let’s shorten these terms: shirt=s ; jean=j.

3s+3j=72

4s+2j=64 => =2j=64-4s => j=(64-4s):2 => j=32-2s

3s+3j=72 => (instead of j we write 32-2s=> 3s+3*(32-2s)=3s+96-6s=72

=> -3s=72-96
-3s=-24

s=24:3

s=8.
=> j=32-2s => j= 32-16 => j=16.

19. A bird flies at 12 miles/hour. How long does he take to fly 36 miles?

Answers

Answer:

He flew for 3 hours

Step-by-step explanation:

in this question we can use the formula :

[tex] \boxed{t = \frac{s}{v}} [/tex]

t is time

s is distance

v is Speed

_________________

We know that :

v = 12 miles/hour

s = 36 miles

So :

[tex] t = \frac{s}{v} = \frac{36}{12} [/tex]

[tex] \boxed{t = 3 \: hours}[/tex]

______________________

It would take 3 hours to fly 36 miles :)

verify that the segment lengths form a triangle. is the triangle acute, right, or obtuse?

Answers

bc Answer: They form an obtuse triangle

Step-by-step explanation:

the length of one side must be greater than the difference and less than the sum of the lengths of the other two sides. In this case the third side must be greater than 3 and less than 31. 3(squareroot) 55 is 22.25 so it fits.

I need help factoring an equation. ​

Answers

Answer:

30n^15

multiply exponents add reg numbers

Rearrange the equation to isolate E:
M=

Answers

Answer:

m • v^2 / 2  = E

Step-by-step explanation:

m = 2E/v^2

multiply each side by v^2

m • v^2 = 2E

divide each side by 2

m • v^2 / 2  = E

Answer:

c

Step-by-step explanation:

please help i am having a bad day this is my last question

Answers

6.67

since the dimensions on the small bag are 3/5 compared to the large bag (the heights being 9/15 = 3/5 and the lengths being 6/10 = 3/5), you must use the following to find the width of the bag.

3 4
--- = ---
5 x

cross multiply

3x = 20

divide

x = 6.666667

Help me please it’s an easy question I guess

Answers

Answer:

The simplified fraction is

[tex] \frac{2}{9} [/tex]

Step-by-step explanation:

Finding the HCF can help a great deal, so in this case the HCF between 16 and 72 is 8.

16/8 = 2

72/8= 9

Therefore the answer is

[tex] \frac{2}{9} [/tex]

5+34+34+43+6734+456+45

Answers

Answer:7351

Step-by-step explanation:

Answer:

456566654

Step-by-step explanation:

You got 7 questions correct and 3 questions wrong on your test. What was your score as a percent?

Answers

70%

7 correct + 3 incorrect= 10 total questions.

Answer:

70%

Step-by-step explanation:

Correct/total questions --> Formula for this problem

Correct questions - 7

Total questions - 10

So, 7/10=70%!

Hope this helps you!

Cost of 1 dozen peaches at 65¢ each.

Answers

Answer:

780¢

Step-by-step explanation:

A dozen = 12

so 12 * 65 = 780

Answer:

The answer is 780¢

Step-by-step explanation:

Given;Cost of each Peach = 65¢To Find;Cost of 1 dozen of peaches

Now, we know that 1 dozen = 12

So,

65 × 12 = 780

Thus, The cost of 1 dozen of peaches is 780¢

-TheUnknownScientist 72

Goran fills an aquarium to a depth of 4/5 meters in 8 minutes.
What is the unit rate in minutes per meter?

Write your answer in the simplest form.

Answers

Answer:

10minutes per meter

Explanation

⅘meters can be filled in 8 minutes

⅘m => 8minutes

1m => ?

(8 x 1) ÷ ⅘

8 x 5/4 = 10 minutes

Therefore, 1meter can be filled in 10minutes

Find the value of x.

Answers

The sum of triangle angles = 180

180 = 90 + 2x +15 + x

75 = 3x

x = 25

Answer:

→x=25°

Step-by-step explanation:

→2x+15+x+90°=180°[Sum of a triangle is 180]

→3x+105°=180°

→3x=180°-105°

→x=75°/3

→x=25°

Hope it will help you.

Help pleaseeee helpp!!

Answers

Answer:

D

Step-by-step explanation:

i did the math

Can someone please help me with these 3 Tysm!! (Please tell me how you solved them) will give brainlist <3

Answers

Answer:

1. 50

2.40

3. 9

Step-by-step explanation:

1. in this u need u plus ten with number given

2. in this u need to plus 5 in all the above numbers but i have subtracted bcoz it was below

3. in this u need to multiply 3 with every number like 9*3 27

hope it helps

helpp! im 2 lazy to do it

Answers

Answer:

28. add them all together

Answer:

the answer is 28

Step-by-step explanation:

you have good taste in music

HURRY PLSS (100 POINTS

Answers

Answer:

Q

Step-by-step explanation:

As it's distance versus time graph

Cyclist stopped for a drink of water means time is going on but distance is not changing .So the line should be parallel to time axis

Hence Q is the answer

[tex]\sf \Large \boxed{\sf Q} \\\\ In \ a\ distance-time\ graph,\ the\ horizontal\ line\ represents\ an\ object\ at\ rest.\\A \ slope\ shows\ that\ it\ is\ moving.[/tex]

Can you give me the answer to this? I would appreciate it!
Thx

Answers

Answer:

7,912.8 inch³ of aluminum is needed to make 70 metal balls

Step-by-step explanation:

r = 3 inches and π = 3.14

single aluminum ball, 113.04 inch³ of aluminum

113.04 inch³ of aluminum is used for 1 ball, then we multiply 70 with this value to determine the aluminum needed for 70 such balls.

GIVING 30 POINTS!!
Which of the following is the best estimate for 62% of 29

18
12
5
15

Answers

Answer:

18

Step-by-step explanation:

62% of 29

[tex]\frac{62}{100}* 29[/tex]

[tex]0.62 * 29[/tex]

[tex]17.98[/tex]

[tex]18[/tex] .....best estimate if rounded off.

Answer:

18 is the answer

Does the term investment mean the interest of something or the principle?

Answers

the correct answer is intrest of something

GIVING BRAINLIEST!! someone please help me with this​

Answers

Answer:

Quesnel Lake:Lake Baikal=.31

Quesnel Lake:Great Slave Lake=.82

Step-by-step explanation:

1 foot = .3048 meters

Lake Baikal: 5369 ft. = 1636.4712 m

Great Slave Lake: 2015 ft. = 614.172 m

Quesnel Lake: 506 m

Quesnel Lake:Lake Baikal

[tex]506 \div 1636.472 = .31[/tex]

Quesnel Lake:Great Slave Lake

[tex]506 \div 614.172 = .82[/tex]

Suppose you have a $4-off coupon at a fabric store. You buy fabric that costs $6.75 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric

Answers

Answer: 6.75x - 4

Step-by-step explanation:

6.75x - 4

Angle STV is a straight angle. The measure of WTV angle is 40. The measure of STW angle is x . What is the value of x?

Answers

Answer: 140

Step-by-step explanation:

We know that the angle measures must add to 180 deg, so:

40 + x = 180

x = 140.

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