What is the distance between (1,7) and (9,1)

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Given two points we can use the distance formula to calculate the distance between the two points.

Formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Where the x and y values are derived from the given points.

we are given the points (1,7) and (9,1)

To find the distance we plug in the x and y values of the points into the formula

[tex]d=\sqrt{(9-1)^2+(1-7)^2} \\9-1=8\\1-7=-6\\d=\sqrt{8^2+(-6)^2} \\8^2=64\\-6^2=36\\d=\sqrt{64+36} \\64+36=100\\\sqrt{100} =10\\d=10[/tex]

So we can conclude that the distance between the points (1,7) and (9,1) is 10 units


Related Questions

What is the average rate of change between coordinate points (4, 7) and (6, 10) ?

Answers

Answer: 2/3

Step-by-step explanation:

Rise over run shows it on average goes up 2 and over 3. 2 on top for rise, 3 on bottom for run. Hope it helps! Don't click on shady links

find the length x

help pls , need asap

Answers

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{6}{x}[/tex] = [tex]\frac{3}{4}[/tex]

cross multiply

3x = 6(4)

3x = 24

divide

x = 8

4:3=x:6
x=4•6/3
x=24/3
x=8
Check:
6/3=2
8/4=2
Good luck.

6
A painter sets a ladder
against a wall 9 ft above
the ground. If the ladder is
3 feet from the base of the
wall, how long is the ladder?
Round your answer
to the nearest tenth.

Answers

Answer: About 10 ft.

Use Pythagorean's Theorem!

c=[tex]\sqrt{9^2+3^2}[/tex]

9 * 9 = 81

3 * 3 = 9

81 + 9 = 90

[tex]\sqrt{90\\}[/tex] = 3[tex]\sqrt{10}[/tex] ≈ 10 ft.

Fort his problem what is the correct answer?

Answers

Answer:

its b have  a nice day

Step-by-step explanation:

Answer:

I think its D.

Step-by-step explanation:

A survey report states that 70% of adult women visit their doctors for a physical examination at least once in two years. If 20 adult women are randomly selected, find the probability that: (a) Fewer than 14 of them have had a physical examination in the past two years. (b) At least 17 of them have had a physical exami- nation in the past two years

Answers

Answer:

a) 0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

b) 0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

Step-by-step explanation:

For each women, there are only two possible outcomes. Either they visit their doctors for a physical examination at least once in two years, or they do not. The probability of a woman visiting their doctor at least once in this period is independent of any other women. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

70% of adult women visit their doctors for a physical examination at least once in two years.

This means that [tex]p = 0.7[/tex]

20 adult women

This means that [tex]n = 20[/tex]

(a) Fewer than 14 of them have had a physical examination in the past two years.

This is:

[tex]P(X < 14) = 1 - P(X \geq 14)[/tex]

In which

[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 14) = C_{20,14}.(0.7)^{14}.(0.3)^{6} = 0.1916[/tex]

[tex]P(X = 15) = C_{20,15}.(0.7)^{15}.(0.3)^{5} = 0.1789[/tex]

[tex]P(X = 16) = C_{20,16}.(0.7)^{16}.(0.3)^{4} = 0.1304[/tex]

[tex]P(X = 17) = C_{20,14}.(0.7)^{17}.(0.3)^{3} = 0.0716[/tex]

[tex]P(X = 18) = C_{20,18}.(0.7)^{18}.(0.3)^{2} = 0.0278[/tex]

[tex]P(X = 19) = C_{20,19}.(0.7)^{19}.(0.3)^{1} = 0.0068[/tex]

[tex]P(X = 20) = C_{20,20}.(0.7)^{20}.(0.3)^{0} = 0.0008[/tex]

So

[tex]P(X \geq 14) = P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1916 + 0.1789 + 0.1304 + 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.6079[/tex]

[tex]P(X < 14) = 1 - P(X \geq 14) = 1 - 0.6079 = 0.3921[/tex]

0.3921 = 39.21% probability that fewer than 14 of them have had a physical examination in the past two years.

(b) At least 17 of them have had a physical examination in the past two years

[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)[/tex]

From the values found in item (a).

[tex]P(X \geq 17) = P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0716 + 0.0278 + 0.0068 + 0.0008 = 0.107[/tex]

0.107 = 10.7% probability that at least 17 of them have had a physical examination in the past two years.

Which function represents a quantity growing exponentially?

A y = 2(0.5)^x
B y = 0.5(2)^x
C y = 2(0.5)^2X
D y = (1/5)^x

Answers

Answer: [tex]ay=2(0.5^{x})[/tex]

Step-by-step explanation:

A y = 2(0.5)^x

Robin can clean 727272 rooms in 666 days.
How many rooms can Robin clean in 999 days?
rooms

Answers

Answer:

1090908 rooms

Step-by-step explanation:

calculator

Answer:

Robin can clean 9828 rooms in 9 days

Step-by-step explanation:

Since Robin can clean 727272 rooms in 666 days, we can find how many rooms she can clean in 1 day by dividing 727272 by 666

number of rooms cleaned by Robin in 1 day = 727272 rooms/666 days = 1092 rooms/day

We can then find how many rooms she can clean in 9 days by multiplying 1092 by 9

1092 rooms/day * 9 days = 9829 rooms

there are 125 vehicles in a car dealership's lot. at least 88 of them are hybrid vehicles. write solve an inequality that describes how many vehicles, at most, are not hybrid.

Answers

Answer:

it is 37.

Step-by-step explanation:

125 - 88 is 37

A small refrigerator is a cube with a side length of 19 inches.
Use the formula S = 6s2 to find the surface area of the cube.

Answers

Answer:

2166in^2

Step-by-step explanation:

S=6(19)^2=2166

Jackson is interested in the number of memories people can recall. He knows that the number of memories recalled is normally distributed in the general population, with a population mean of 30 and a population standard deviation of 5. What is the probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories

Answers

Answer:

0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Population mean of 30 and a population standard deviation of 5.

This means that [tex]\mu = 30, \sigma = 5[/tex]

What is the probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories?

This is the pvalue of Z when X = 29 subtracted by the pvalue of Z when X = 26. So

X = 29

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29 - 30}{5}[/tex]

[tex]Z = -0.2[/tex]

[tex]Z = -0.2[/tex] has a pvalue of 0.4207

X = 26

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{26 - 30}{5}[/tex]

[tex]Z = -0.8[/tex]

[tex]Z = -0.8[/tex] has a pvalue of 0.2119

0.4207 - 0.2119 = 0.2088

0.2088 = 20.88% probability that Jackson randomly selects a person from this population who recalls between 26 and 29 memories.

5. Alexis has $95. She has 2 more five-dollar bills, 5 more one-dollar bills, and 2 more
ten-dollar bills than Kasai. How much money does Kasai have?

Answers

Answer:

60

Step-by-step explanation:

:)) tht should b right

Tiffany catches a fish thats weighs 0.7 lbs. Frank catches a fish that weighs 0.6 times as much as tiffanys fish. How many pounds does Franks fish weigh? Explain how you got your answer using the grid.

Answers

Answer:

Franks fish weighs .42 lbs

Step-by-step explanation:

.7 * .6 = .42

please help, i'll give brainliest. (don't send a link please)

Answers

Answer:

A

Step-by-step explanation:

y+5<8

Subtract 5 from each side

5+5-5 <8-5

y<3

Since there is no equals sign, there is an open circle at 3

y is less than so the line goes to the left

Choice A

I have no idea what this question means but if anyone understands it or has an answer much help is apreciated! :)

Answers

Here, we have to factorise :

- 12n - 20

Consider the largest number which is the factor of both -12 and -20, that is -4.

→ -4 × 3n = -12n

→ -4 × 5 = -20

Taking (-4) as common,

→ -4( 3n + 5 )

Option B is correct. [tex] \checkmark [/tex]

Which choices are correct when determining the distance between -240 and -35 on a number line?

Answers

Answer:

A

Step-by-step explanation:

240-35)=205

240-35

205

Answer:

Step-by-step explanation the first one

in the triangle shown determine a to the nearest degree

Answers

Answer:

43

Step-by-step explanation:

Cos A= 8/11

Cos A= 43.34

A=43.34

A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T), and one white puppy (W). Which list shows all the possible arrangements of the puppies?
Select one:

BTW, BBB, TTT, WWW, BBT, BBW, TTB, TTW, WWB, WWT

BTW, BWT

TWB, TBW, BTW, BWT, WBT, WTB

TWB, BTW, WBT
If you don't answer, I'll report you!

Answers

There are 6 combinations:
TWB TBW BTW BWT WBT WTB

Five surf shops sell the same pair of flip-flops for the following prices: $17.00, $15.50, $15.00, $18.00, $15.00. Find the mean, median, and mode of the data to determine which measure of center and which measure of variability best describe the data.

The mean is $
. The median is $
. The mode is $
.

The
best describes the data, so the
is the better measure of variability.

Answers

Answer:

Mean: $16.1

Median: $15.00

Mode:$15.00

The mode best describes the data, so the mean is the better measure of variability.

Step-by-step explanation:

How to find the mean:

Add up each value on the data set, then divide it by the number of values on the data set. (Example: $17.00 + $15.50+$15.00+$18.00+$15.00= 80.5/5=16.1)

How to find the median: Order your values from least to greatest, then find the value in the center.

How to find mode: Look for the most frequent value in the data set. What value shows up the most?

Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].

Here, the mode best describes the data, so the mean is the better measure of variability.

What is the mean, median, mode?

Mean, median, and mode are the measures of central tendency, used to study the various characteristics of a given set of data. A measure of central tendency describes a set of data by identifying the central position in the data set as a single value.

Here given data is

$[tex]17.00[/tex], $[tex]15.50[/tex], $[tex]15.00[/tex], $[tex]18.00[/tex], $[tex]15.00[/tex]

Here,

Mean is the sum of all values divided by number of observation

i.e,

[tex]\frac{17.00+15.50+15.00+18.00+15.00}{5}=\frac{80.5}{5}\\\\\\=16.1[/tex]

Median is the middle value of the data, firstly we arrange the data in ascending order

[tex]15.00,15.00,15.50,17.00,18.00[/tex]

So, the middle value is [tex]15.50[/tex] $.

Mode is the repetition of the same number in the data

[tex]15.00,15.00,15.50,17.00,18.00[/tex]

Then, [tex]15.00[/tex] is the mode of the given data.

Hence, the mean is $ [tex]16.1[/tex] and the median is $ [tex]15.50[/tex] and the mode is $ [tex]15.00[/tex].

Here, the mode best describes the data, so the mean is the better measure of variability.

To know more about the mean, median and mode

https://brainly.com/question/3183994

#SPJ2

Find the area of the shaded region and choose the appropriate result.

Answers

Answer:

B)  12 cm²

Step-by-step explanation:

find area of shaded region, which is 4x4, or 16 cm² then subtract out the area of the unshaded region, which is 2x2, or 4 cm²; you get 12 cm²

ANSWER THE QUESTION FOR BRAINLIEST

Answers

4th answer -3,0,1,2,3

WILL MARK BRAINLIEST PLEASE HELP!!!

A right circular cone is intersected by a plane that passes through the cone's vertex and is parallel to its base, as in the picture below. What is produced from this intersection?

A. A Pair of intersecting lines
B. A Parabola
C. A Point
D. A Pair of parallel lines

Answers

Answer:its D. A pair of parallel lines

Step-by-step explanation:

Answer: parallel lines

Step-by-step explanation:

I need help I’m in math class! Help please

Answers

Answer:

1350π [tex]cm^3[/tex] should be your answer

Step-by-step explanation:

15 x 15 x π = 225π

225π x 6 = 1350π

Which of the following choices shows the proper use of the distributive property?
оооо
-2(6x - y) = -12x + 2y
-2(6x - y) = 12x + 2y
-2(6x - y) = 12x - 2y
-2(6x - y) = -12x - 2y
What’s the answer

Answers

Answer:

[tex]-2(6x - y) = -12x +2y[/tex]

Step-by-step explanation:

Required

Which shows distributive property

Distributive property states that:

[tex]a(b + c) = a * b + a * c[/tex]

So, the solution to -2(6x - y) is:

[tex]-2(6x - y)[/tex]

Open bracket

[tex]-2(6x - y) = -2 * 6x -2 *-y[/tex]

[tex]-2(6x - y) = -12x +2y[/tex]

(a) is true

How do I Solve 6=18x

Answers

Answer:

1/3

Step-by-step explanation:

6=18x

for x

x=6/18

x=1/3

is 2.65 = 53/20 true or false and show work

Answers

Answer:true

Step-by-step explanation:        

Find the axis of symmetry of the parabola y=2x^2+4x-1

Answers

Answer:22

Step-by-step explanation:

Add

Multiply

Divide

8th Algebra

Which of the following correlations would be an example of causation?


Question 1 options:


A. a positive correlation between the number of prisons in an area and the number of hospitals in that area



B. a positive correlation between the number of hours spent studying and the grade earned on a test



C. a negative correlation between the number of cell phones sold per year and the number of people born per year



D. a negative correlation between the amount of ice cream sales and the number of crimes committed in a city

Answers

Pls just say this is helpful I need points for my homework ;(


You roll a pair of six-sided number cubes, numbered 1 through 6. What is the probability of rolling two odd numbers? (Enter your probability as a fraction

Answers

Answer:

1/4 or 25%

Step-by-step explanation:

The probability for rolling an odd number is 50% or  [tex]\frac{1}{2}[/tex] because there are 3 odd numbers, (1, 3, 5) and 6 total outcomes (1, 2, 3, 4, 5, 6). [tex]\frac{3}{6} =\frac{1}{2}[/tex]

The probability for rolling two odd numbers in a row is

[tex]\frac{1}{2} *\frac{1}{2} =\frac{1}{4}[/tex]

So, the probability of rolling an odd number twice is 25% or  [tex]\frac{1}{4}[/tex].

8. You deposit $1600 in a bank account. Find the balance after 3 years. The account pays 2% annual interest compounded
quarterly.

Answers

Here is the solution to your question.

-4r + 1 = -2r - 17

a. 9
b. 11
c. -18
d. -16

Answers

The answer would be 9
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