What is the slope of the line that passes through the points (2, 9)(2,9) and (18, -3)(18,−3)? Write your answer in simplest form.

Answers

Answer 1

(2 ; 9) and (18 ; - 3)

slope = (-3 - 9) / (18 - 2) = -12/16 = -3/4 or - 0,75

Answer 2

Slope of the line that passes through the points (2, 9) and (18, -3) is -2.

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b

where m is the slope and b is y intercept.

The formula to calculate slope passing through two points (x1, y1) and (x2, y2) is

m= (y₂- y₁)/(x₂-x₁)

The given two points are (2, 9) and (8, -3)

Here x₁=2, y₁=9, x₂=8, and y₂=-3

Substitute the values in formula of slope.

m=-3-9/8-2

m=-12/6

m=-2

Hence slope of the line that passes through the points (2, 9) and (18, -3) is -2.

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Related Questions

Which one doesn't belong, and why?
1/2,5/3,2/10,2/5

Answers

Answer:

5/3

Step-by-step explanation:

5/3 doesn't belong because each denominator for the other numbers are all factors of 10 (I think thats how you say it)

Hope this helps

There are 2 friends chasing one another. They are 80
feet apart. Caroline is chasing after Sam. Sam runs at
a speed of 22 feet per second and Caroline runs at a
speed of 31 feet per second. How many seconds will it
take for Caroline to catch Sam?

Answers

Answer:

8.9 seconds

Step-by-step explanation:

When caroline catches sam after some time lets say t

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart.

Given

Let the time taken by Caroline to catch sam is t seconds

distance covered by Caroline in t seconds = speed of caroline*t

distance covered by Caroline in t seconds = 31  * t

distance covered by Caroline in t seconds = 31t feet

distance covered by sam in t seconds = speed of sam*t

distance covered by sam in t seconds = 22  * t

distance covered by sam in t seconds = 22t feet

distance moved by Caroline will be 80 feet more than sam as they were 80 feet apart and caroline catches her in t seconds

thus,

distance covered by Caroline in t seconds  = distance covered by sam in t seconds  + 80 feet

31t = 22t + 80

subtracting 22t from both sides

=> 31t - 22 t = 80

=> 9t = 80

=>t = 80/9 = 8.9 seconds

Thus,

it will take 8.9 seconds for Caroline to catch Sam

A team of runners is needed to run a 1/3-mile relay race. If each runner must run 1/9 mile, how many runners will be needed?

Answers

Answer:

3 Runners

Step-by-step explanation:

if syn spends 15 minutes running, he burns 200 calories. how long would it take Syn to burn 150 calories?

Answers

Answer:

11.25min

Step-by-step explanation:

In this problem, we first need to find the rate at which syn burns calories per minute

so in 15mins, he burns 200 calories

    in 1 mins he will burn x

x= 200/15

x=13.33 calories per min this is the rate

So in one minute he will burn 13.33 calories

Now using the idea of rate=quantity/time

the rate=13.33

quantity=15 calories

time=?

time=quantity/rate

time=150/13.33

time=11.25min

   Alternatively

(very fast approach)

         if syn spend 15min to burn 200 cal

then he will spend x min to burn 150 cal

cross multiply

x=(150*15)/200

x=2250/200

x=11.25mins

An equation for a line that is perpendicular to the line given by y=-2 and passes through the point (5,6)

Answers

Answer:

y - 6 = 1/2 (x - 5)

Step-by-step explanation:

Point slope equation:  y-y₁ = m(x-x₁)

replace

x₁ = 5,

y₁ = 6,

m = 1/2 (perpendicular means opposite reciprocal)

what is the square root of 96 in simplest form

Answers

Answer:

Probably the easiest number to factor out is 2 since 96 is an even number. 96/2 = 48.

Step-by-step explanation:

HALP?????????????????????????????????????plz

Answers

Answer:

Start menu- A)

Taskbar- E)

Quick Launch-D)

System tray- B)

Icons-C)

Step-by-step explanation:

Answer:

1. Icons-------->pictures that represent applications, files, or folders.

2. Quick Launch---------->list of items that can be opened by clicking on their names.

3. Start menu----------->shows  the programs that are always running.

4. System Tray---------->place where frequently used programms can be opened.

5. Taskbar--------->displays open application or files.

Step-by-step explanation:

I pretty much explained it in the answer. :)

Write an equation of the line that passes through the point (6, 3) and is perpendicular to y=-1/3x+ 12.
y=3x+12
y=x+5
y=-1/3x+5
y=-1/3x+12

Answers

Answer:

A: [tex]y=3x+12[/tex]

Step-by-step explanation:

To start we need to know what makes lines perpendicular. Two perpendicular lines will have opposite-reciprocal slopes, because we know that they intersect at a right angle.

Then, we need to understand the slope-intercept form of an equation. The slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope of the line and [tex]b[/tex] is the y-intercept. We also know that [tex]x[/tex] and [tex]y[/tex] represent points on the line.

Now, since our equation is already in the correct form, we can start with finding the opposite reciprocal of the slope. To do this, all we have to do is flip the fraction upside down and multiply by -1. This means that the opposite reciprocal of [tex]-\frac{1}{3}[/tex]  would be [tex]\frac{3}{1}[/tex] which can be written as [tex]3[/tex].

Now, since we have a list of options and only one has the correct slope, we can safely choose option A.

ILL MARK U BRILLIANT PEASE I NEED HELP! the independent variable of a relationship represents the hours someone is driving and the dependent variable represents the number of miles, what does the ordered pair (2,100) represent?

Answers

Answer:

x or 2= amount of hours someone is driving and y or 100= the number of miles

Step-by-step explanation:

following
3x + 10 = 17

Answers

Answer:

x=7/3

Step-by-step explanation:

The answer is x = 7/3

WHOEVER ANSWERS FIRST WILL GET BRAINLIEST!

IF YOU DON'T ANSWER FIRST YOU DON'T GET BRAINLIEST

Answers

Answer:

38 cm

Step-by-step explanation:

it makes the most sense

Answer: Id have to say 40mm

What’s 7/10 Equivalent to put it in fraction

Answers

Answer:

i think this is what u want

Step-by-step explanation:

please mark brainliest

Answer:

nvm im wrong its wat the other girl or boy said

Sarah is training for a bike race. She rides her bike 5 3/4miles in 1/3hour. What is Sarah’s rate in miles per hour? Express your answer as a mixed number.

Answers

Answer:

3 31/76

Step-by-step explanation:

5 3/4 multiplied by 3 = 3 31/76

hope this helps

f(x) = 2x^2 Find f(-3)

Answers

F(-3)=2(-3)^2=18, 18 is the answer

Probability a bag of miniature candy’s contain 15 crunch bars 14 Hershey’s chocolate bars 10 Mr.Goodbars 12 Hershey’s cookies and cream bars. What is the probability of randomly choosing each of them ?

Answers

15:51 for Crunch bars

14:51 for Hershey's

10:51 for Mr. Goodbars

12:51 for Cookies and Cream

There are 51 candies in total. We got that by adding all of the candies together. 15 + 14 + 10 + 12 = 51. The probability can be written as a ratio between the different types of candy and the whole number.

The probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability can be written as,

P(Crunch bars) = Number of Crunch bars/ Total number of choclates= 15/51

P(Hershey's Chocolate) = 14/51

P(Mr. Goodbars) = 10/51

P(Hershey’s cookies and cream bars) = 12/51

Hence, the probability of crunch bars, Hershey’s chocolate bars, Mr.Goodbars, and Hershey’s cookies and cream bars are 15/51, 14/51, 10/51, and 12/51, respectively.

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b)
1 + sin^4A ÷cos^4A = 1 + 2tan^2A.sec^2A

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

tan²x + 1 = sec²x

Consider the left side

[tex]\frac{1+sin^4A}{cos^4A}[/tex]

= [tex]\frac{1}{cos^4A}[/tex] + [tex]\frac{sin^4A}{cos^4A}[/tex]

= [tex]sec^{4}[/tex] A + [tex]tan^{4}[/tex] A

= (tan²A + 1)² + [tex]tan^{4}[/tex] A

= [tex]tan^{4}[/tex] A + 2tan²A + 1 + [tex]tan^{4}[/tex] A

= 1 + 2tan²A + 2[tex]tan^{4}[/tex] A ← factor out 2tan²A

= 1 + 2tan²A(1 + tan²A)

= 1 + 2tan²A sec²A

= right side , thus verified

A rectangle has a height of 3c^43c
4
3, c, start superscript, 4, end superscript and a width of c^2-4c+3c
2
−4c+3c, squared, minus, 4, c, plus, 3.

Answers

Answer:

Step-by-step explanation:

The area of rectangle is 3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex].

What is area of rectangle?

The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension.

Area of a Rectangle. A = l × b.

Given:

height = 3[tex]c^{4}[/tex]

width = c² - 4c +3

So, Area of rectangle

=length *  width

= 3[tex]c^{4}[/tex] * (c² - 4c +3)

=3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex]

Hence, the area of rectangle is 3[tex]c^{6}[/tex]-12[tex]c^{5}[/tex] + 9[tex]c^{4}[/tex].

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Your question is incomplete, probably the complete question/missing part is:

A rectangle has a height of 3[tex]c^{4}[/tex] and a width of c² - 4c +3. Express the area of the entire rectangle.

Stacey jogs every third day and swims every fourth day. If she jogs and swims on Monday, what is the next day of the week she will end up jogging and swimming.

Answers

Answer:

Saturday

Step-by-step explanation:

First we have to find the LCM of 3 and 4

It is 12, so we know that she will jog and swim every 12 days

This time was Monday, so 12 days after Monday will be the day she both jog and swims.

12 days after Monday is Saturday, so the next time she jogs and swims is Saturday.

Hope this helped

Sorry if it's wrong

:)

Match the graph with the correct equation

A: Y= X - 3
B: Y= X + 3




From: SLOPE-INTERCEPT FORM: PART 1

Answers

The answer is B : Y= X+3

Khalid purchased 4 items at the dollar store. He was surprised that the total did not equal $4.00. Brian did not realize that the store required 5 1/2% sales tax. How much was Brian’s total bill including sales tax?

Answers

Answer:

B. $4.22

Step-by-step explanation:

51/2 % can be put into decimal form as 0.055

To find what 5 1/2% of $4 is you simply need to multiply 4 by 0.055

which makes $0.22

add that to $4 and you have your answer

im not sure b right or wrong?

Answers

Answer:

Yes That is right. B is correct

Step-by-step explanation:

Answer:

37 is what percent of 76? = 48.68

Step-by-step explanation:

Convert fraction (ratio) 37 / 76

You would get...

0.48684210526

B is correct

How do I solve this?? Please help! Find the measure of the indicated angle.

Answers

Answer:

This is a tough one, I see why you are confused. The answer would be 50

Step-by-step explanation:

I used process of elimination and working backwards

First I took the first option (50) and added 10. Then divided it by 5 to isolate the X value. I plugged the X value into the (11x+3) and got 135. The missing angle is 45. 50+45+85=180

Hope this helped!

Edison
Edison's first light bulb stayed
lit for 40 hours. Today a
typical light bulb can stay lit
for 1,000 hours. How many of
Edison's light bulbs would burn
out before one of today's light
bulbs burns out?

Answers

Answer:

25 light bulbs

Step-by-step explanation:

You just divide 1000 by 40

Find the distance between the two points (-1,0) (-8.4)

Answers

Answer:

d = 8.062258

Step-by-step explanation:

=(−8−(−1))2+(4−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

=(−7)2+(4)2‾‾‾‾‾‾‾‾‾‾‾‾√

=49+16‾‾‾‾‾‾‾√

=6‾√5

=8.062258

The given line segment has a midpoint at (3,1). What is the equation in the slope intercept form of the perpendicular bisected of the given line segment

Answers

Answer:

The ANswer Is A

Step-by-step explanation:

I took The quiz

for every 2 cara you wash your friend washes 5 cars if you wash 6 cars how many cars does your friend wash

Answers

Answer:

15 cars

Step-by-step explanation:

2 = 5 so 4 = 10 and 6 = 15

kejejejeididjdeneneneneneneneneneje

Describe any patterns/relationships that you notice between the Powers of 10, the expressions, what they equal (standard form), or amount of zeros in the product. Try to use math vocabulary in your explanation below. You may use examples to support your response.

Answers

Answer:

The powers of 10 are things of the form:

10^n.

Where we assume that n is an integer number.

if is equal or larger than 0, then:

We add n zeros at the right of the 1.

so let's write some examples.

10^0 = 1  (we do not add any zero)

10^1 = 10 (we add one zero)

10^2 = 100  (we add two zeros)

...

Now, remember that x^-y = 1/x^y, then:

If n is smaller than zero, then we add n zeros at the left of the 1.

10^-1 = 1/10 = 0.1   (one zero at the left)

10^-2 = 1/100 = 0.01    (two zeros at the left).

Those relations will be useful to always know the exact dimensions of the powers of zero.

Now, we can give a more complete description knowing that:

x^a*x^b = x^(a + b)

Then if we have:

10^3*10^4 = 100*1,000 (and this may be hard to do)

But we can use the above relation:

10^3*10^4 = 10^(3 + 4) = 10^7

Then we know that we must add 7 zeros at the right of the 1.

And this will work for any integer powers of 10.

try to help at least

Answers

When it says positive slope the line is going up.When it says negative slope the line goes down.For the y intercept it means like where on the Y-line it is if it’s on the top half of the X line then it’s positive, and below is negative

Answer:

Graph 1: Lang

Graph 2: Sharayah

Graph 3: Caleb

Graph 4: Tierra

Step-by-step explanation:

Graph 1 y-intercept: 2

Graph 2 y-intercept: -2

Graph 3 y-intercept: -3

Graph 4 y-intercept: 3

Graph 1: Positive

Graph 2: Negative

Graph 3: Positive

Graph 4: Negative

help pls i’m just guessing i don’t understand

Answers

Answer:

70

Step-by-step explanation:

Since the angle 2 is alternate angle to angle 6,they are both equal. So, the angle 6 is 70.

true or false 4. If the area of a rectangle is 6 m2, then the dimensions must be 2 meters by 3 meters.

Answers

Answer:

yes the answer is true

Step-by-step explanation:

the length of the rectangle is given 2 m

the breadth of the rectangle is given 3 m

so the area of the rectangle = length * breadth

= 2m*3m

=6m^2

hence proved

hope you like the answer

marks brainliest

hurry up !

The area of the rectangle is [tex]6m^2.[/tex]

Given that,

The area of the rectangle is [tex]6m^2[/tex]The dimension should be 2 meters by 3 meters.

Now as we know that

The area of the rectangle is

[tex]= length \times breadth\\\\= 2 \times 3\\= 6m^2[/tex]

Therefore we can conclude that The area of the rectangle is [tex]6m^2.[/tex]

Learn more about the rectangle here: brainly.com/question/16167300

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