What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?

Answers

Answer 1

9514 1404 393

Answer:

  13 units

Step-by-step explanation:

The distance is found using the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((14 -2)² +(6 -1)²) = √(144 +25) = 13

The distance between the two points is 13 units.


Related Questions

Question Help The mean finish time for a yearly amateur auto race was 185.64 minutes with a standard deviation of 0.314 minute. The winning​ car, driven by Sam​, finished in 185.29 minutes. The previous​ year's race had a mean finishing time of 110.3 with a standard deviation of 0.129 minute. The winning car that​ year, driven by Rita​, finished in 110.02 minutes. Find their respective​ z-scores. Who had the more convincing​ victory?

Answers

Answer:

Sam has the more convincing victory with a greater Zscore value

Step-by-step explanation:

Given that :

Year 1:

Mean finish time (m) = 185.64

Standard deviation (s) = 0.314

Sam's time (x1) = 185.29

Year 2:

Mean finish time (m) = 110.3

Standard deviation (s) = 0.129

Rita's time (x1) = 110.02

Zscore = (x - mean) / standard deviation

Sam's Zscore :

(185.29 - 185.64) / 0.314

= - 0.35 / 0.314

= −1.114649

= - 1.115

Rita's Zscore :

(110.02 - 110.3) / 0.129

= - 0.28 / 0.129

= −2.170542

= - 2.171

Sam has the more convincing victory with a greater Zscore value

2.31 (1 repeating) as a fraction​

Answers

Answer:

[tex]\frac{231}{100}[/tex]

This is assuming that you can simplify the 2.31 to the nearest hundredth.

First to answer and get right gets brainleist and there is ma points pls help

Answers

Answer:

#11 is D. x = u - k

#12 is D. x = gc

Step-by-step explanation:

I plugged random integers to test this. Anyhow, just do the inverse operation.

#11:

13 = x + 8

x = 13 - 8

x = 5

Here, x = u - k is the new equation.

#12:

23 = x/9

x = 23(9)

x = 207

Here, x = gc is the new equation.

Which function displays this end behavior?
• As xapproaches negative infinity, y approaches positive infinity.
• As xapproaches positive infinity, yapproaches negative infinity.
A.) y = (x+ 2)^3 -9
B.) y = -2x^3-1
C.) y = -3x^3 + 4
D.) y = 3(x-1)^2

Answers

The functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches  -∞ are:

Option B: [tex]y = -2x^3-1[/tex]Option C:  [tex]y = -3x^3 + 4[/tex]

How to find the value of the function as x approaches infinity(+ve or -ve)?

If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.

Testing all the four functions listed for x tending to -∞ or ∞:

Case A: [tex]y = (x+ 2)^3 -9[/tex]

1. For x approaching -∞

[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} ((x+2)^3 - 9) = -9 + lim_{x \rightarrow -\infty} ((x+2)^3) \rightarrow - \infty[/tex]

(since cube of negative quantity is going to be negative)

Thus, function also tends to -∞. So this function doesn't satisfy first case, thus, we don't need to test other case as only that function is needed which can satisfy both the cases.

Case B: [tex]y = -2x^3-1[/tex]

1. For x approaching -∞

[tex]lim_{x \rightarrow -\infty} (y) = lim_{x \rightarrow -\infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow -\infty} (-2x^3) \rightarrow \infty[/tex]

(this time, negative sign was canceled by outer negative. So function approaches positive infinity as x approaches negative infinity.

2.  For x approaching ∞

[tex]lim_{x \rightarrow \infty} (y) = lim_{x \rightarrow \infty} (-2x^3 - 1) = -1 + lim_{x \rightarrow \infty} (-2x^3) \rightarrow -\infty[/tex]

So function approaches negative infinity as x approaches positive infinity

Thus, the considered function behaves as needed.

Case C: [tex]y = -3x^3 + 4[/tex]

Similar to above cases, we can see that negative sign and cube power will make this function go to positive infinity as x approaches negative infinity, and as x approaches positive infinity, the function will approach negative infinity.

Remember that finite constants added or subtracted from arbitrary large quantities(positive or negative infinity) can't affect them.

Case D: [tex]y = 3(x-1)^2[/tex]

Here x is in square power, no matter if x approaches +ve or -ve infinity, the square term would make it positive. So this function cannot approach negative infinity.

Thus, only Option B and C are performing as needed. Therefore, the functions that displays the behavior that as x approaches -∞, y approaches ∞ and as x approaches -∞, y approaches  -∞ are:

Option B: [tex]y = -2x^3-1[/tex]Option C:  [tex]y = -3x^3 + 4[/tex]

Learn more about limiting values of a function here:

https://brainly.com/question/13146225

Answer: y=-2x^-1

Step-by-step explanation:

You buy a movie ticket for $5.25 and popcorn for $2.98. You pay with a 10-dollar bill. How much change will you get back?

Answers

Answer:

$1.77

Brainliest please?

Step-by-step explanation:

5.25+2.98=8.23

10-8.23=1.77

HELP ASAP
A company advertises on a website.
A worker tracked the number of visits to the website and the number of clicks
on the advertisement.
The table shows the data for several days.
A linear function can be used to model the data.
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1500 people visit the website?

A 137
B 77
C 83
D 105

Answers

Answer:

I'm sure the answer is A

Step-by-step explanation: There is none, I saw someone else answer this.

Answer:

I'm pretty sure it's 83

Step-by-step explanation:

Teacher explanation that I still don't really understand

What is the y-intercept of the quadratic function
f(x)= (- 8)(x +3)?

Answers

Answer:

-24

Step-by-step explanation:

The standard from of equation of a line is expressed as g(x) = mx+c where;

m is the slope

c is the y-intercept of the line.

Given the expression g(x)= (- 8)(x +3), rewriting in standard form first we have;

g(x)= (- 8)(x +3)

gx)= -8x - 24

On Comparing with g(x) mx+ c, we will see that;

c = -24

Hence the y-intercept of the quadratic function is -24

Who gets this correct gets the brainliest answer​

Answers

Answer:

(-1,3) (0,-2) are two points that the line goes directly through. count the rise/run from the point furthest left to the one further right. you go down 5 and right 1. since you had to go down to get there, the slope is negative. slope is rise over run so in this case it's -5/1 or slope is = -5

to find the y-intercept, you find where the line crosses the y-axis. you find what y is when x is 0. in this case it's -2

slope = -5

y-intercept = -2

and if it asks for an equation of the line, you plug those given values above, into the slope intercept form which is : y=mx+b

where m is the slope

b is the y-intercept

the equation of this line is " y = -5x -2 "

What is the answer for
(1, 1) and (1,9)

Answers

Answer:

9/0

Step-by-step explanation:

I can’t see. Please make it clear

Which expression represents the following calculation?
"Add 2 and 10, then multiply by 3, then add 9."

Answers

Answer:

I think it's...

[(2 + 10) × 3] + 9

If f(x) =2x²-x, find f(-4)-f(9)​

Answers

f(-4) = 36
f(9) = 153

Which scenario will have a quotient of 4/12?

A. Andrew has 4 liters of juice and wants to pour an equal amount of juice into 12 identical glasses. How many liters of juice will each glass contain?


B. Emily jogs 4 kilometers every day. What is the total distance she jogs in 12 days?


C. Nadia has 12 cookies and wants to distribute them evenly with her 3 friends and herself. How many cookies do Nadia and her friends each receive?


D. Steven uses 12 liters of red paint and 4 liters of yellow paint to make orange paint. What is the amount of red paint used for each liter of yellow paint?

Answers

Answer: A

Step-by-step explanation: just a feeling

Answer:

a

Step-by-step explanation: the question is aking you what 4/12 equals.

the answer A is asking you what 4 divided by 12 is (0.33333333)

                                                         

b) is multiplying

c) is has a 3 which is not in the question

d) is improper

If someone can just answer the first question that would be so helpful plzzz

Answers

Answer:

I'm guessing that when you graph it, the graph changes direction when it's not on the x-axis. the "real zeros" of a graph are the ones that go through the x-axis and then imaginary ones are the ones that don't.

Step-by-step explanation:

which numbers are rational A)-4.34
B)0.43222
C)7.234156

Answers

Answer:

C

Step-by-step explanation:

The other 2 aren't rational numbers

I am not completely confident in my answer, so lmk if it's right

The gas tank and Bob's car has 2.5 gallons of gas left in it Bob filled his gas tank and paid $45 the price for a gallon of gas was $3.05 approximately how many gallons of gas does Bob's tank hold

Answers

Answer:

45 divided by $3.05= 14.75

14.75 + 2.5 gallons = 17.25 gallons

Approximate volume gas tank will hold is 17 gallons.

Step-by-step explanation:

PLZZZ HELP NO ONE WILL HELP ME PLZZZZ IM GIVING 50 POINTS PLZZZZ

Answers

Using the grid u could determine that the starting point, (-5.31, 1) would be in quadrant Q and the finishing point would be quadrant S. You are able to determine this by comparing the (X,Y) values given to those of the graphs. For example , the x value of the starting point is negative which only happens in quadrant Q.

Checkpoint (5.31, 1) is different from the startpoint or (-5.31, 1) because it is positive x which puts it on the other side in quadrant P.

Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?
(A) 35
(B) 38
(C) 44
(D) 45

Answers

Answer:

B

Step-by-step explanation:

what is the LCD of 8/9 and 7/8

Answers

Answer:

72 I think

Step-by-step explanation:

I'm not 100% sure but I think its 72

Answer:

The Least Common Multiple (LCM) of 8 and 9 is 72,

and the Least Common Multiple (LCM) of 7 and 8 is 56.

Help plz! Will give brainliest!

Answers

Answer: the answer is d god bless you and plz can i have brainliest i only need 1 more

Step-by-step explanation:

Answer:

D sqrt 72

Step-by-step explanation:

The answer is not A because 8.89 = sqrt 79 and that is too high

The answer is not B because 9.06 = sqrt 82

The answer is not C because 7.94 = sqrt 63

The answer is D 8.49 = sqrt 72 and that is perfect.

PLEASE HEL0 :( 20 points!

Answers

Answer:

a c b and f

Step-by-step explanation:

HELP ASAPPP PLZZZZ!​

Answers

Answer:

the second statement isn't true

Answer:

its the 2nd one

Step-by-step explanation:

have a good day

Henry is making a corn grits recipe that calls for 14 cup of corn grits for every 12 cup of water.
How much water will he need if he uses 112 cups of corn grits?

Answers

Answer:

2 cups of water

Step-by-step explanation:

4(a+3) - 7 = 6a -21 aaaaaaaaaaaaaaaaaa

Answers

Answer:

a=13

Step-by-step explanation:

4a+12-7=6a-21

combine like terms

4a+5=6a-21

sub 4a from each side

5=2a-21

add 21 to each side

26=2a

divide each side by 2

a=13

Answer:

:)

Step-by-step explanation:

a=13

Patty used 740.88 gallons of water over the course of 7 days. How much water did Patty use, on average, each day?

Answers

105.84 water used on average each day.

740.88 divided by 7 will give you 105.84

Or, 7 times 105.84 will get you 740.88

There were many ways you could get this, hope this helped!

•••••••••••••••••••••

Answers

Answer:

the answer is g

Step-by-step explanation:

20 desktops plus 15 laptops equals the 30 computer's and there's 5 more desktops than laptops. you welcome <3

Answer:

Step-by-step explanation:

Correct anwser is F because there are 5 more desktops than laptops and there is 35 total computers so it’s just 35-5 which is 30 which is 30+5=36 see it’s easy hope I helped

ASAP PLS HELPPPPPPPPPPPP ME ITS DUE TODAY!!!!!

WILL MARK BRAINLIEST IF GOOD ANSWER

Rewrite 7 − 8 using the additive inverse and display the new expression on a number line. (5 points)


Select one:


a.

7 + (−8)

An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at negative 1.



b.

7 + 8

An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.



c.

7 − (−8)

An image of a horizontal number line is shown with labels from 0 to 15. An arrow begins at 0 and ends at 7. Another arrow begins at 7 and ends at 15.



d.

8 − 7

An image of a horizontal number line is shown with labels from negative 2 to positive 8. An arrow begins at 0 and ends at 8. Another arrow begins at 8 and ends at 1.

Answers

Answer:

i believe it is b

Step-by-step explanation:

Answer: B

Step-by-step explanation:

It is B because It would be the inverse of the equation, which is the opposite of the equation and It is 7+8.

What is the volume of a sphere with a diameter of 4 meters? (Use 3.14 for π.) 18.84 m 3 100.48 m 3 33.49 m 3 25.12 m 3

Answers

Answer:

Step-by-step explanation:

the formula for Volume of the sphere is

V=4/3 * π*r^3

diameter =4, r=2

V=4/3 * 3.14 * 8=33.49

Mr.Harrison is reading a map to plan his vacation route. The map has a scale of 1 cm Equal 18 miles. He measure the length on the map for his vacation route to be 14 centimeters. What is the length of vacation route in miles?

Answers

Answer:

252 miles

Step-by-step explanation:

Please help me if u know

Answers

Answer: x = [tex]\frac{3+\sqrt{21} }{4}[/tex]

              x = [tex]\frac{3-\sqrt{21} }{4}[/tex]

Step-by-step explanation:

10 points for correct answer and giving brainliest

Answers

Answer:

A

Step-by-step explanation:

We know it cant be -6 as that would be a range and since the circle on the end is hallow it wont be less or equal to rather just less than and the since the next one is 2 and its solid circle it has to be less than or equal too

Answer:

A. -9 < x ≤ -2

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, the line's x-values span from -9 to 2. Since -9 is an open dot, it is exclusive in the domain. Since 2 is a closed dot, it is inclusive in the domain:

(-9, 2] or -9 < x ≤ -2

Other Questions
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