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

3/4(5x - 3) + 8 = 17.

Answers

Answer:

x=3

Step-by-step explanation:

find the opposite of the integer 10​

Answers

-10 will be the answer to your question
-10 will be your answer baby

The area of a square is 54 cm. What
is the length of each side of the
square?
A. between 8cm and 9cm
B. between 5cm and 6cm
C. between 6cm and 7cm
D. between 7cm and 8 cm

Answers

area is a^2 since all the sides r the same length
i’d say between 7cm and 8cm

X+1/2=x-1/2 true or false?

Answers

false bc 1/2 is positive and -1/2 is negative it’s not the same.

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

Discount 75%, Sale Price $74.75, Original Price-?

Answers

Answer:

You will pay $18.69 for a item

Step-by-step explanation:

if you buy an item at $74.75 with 75% discount, you will pay 74.75 - 56.0625 = 18.69 dollars.

Answer:

$299

Step-by-step explanation:

The discount is 75%, so the sale price represents 25% of the original price.

25% : $74.75

(multiply both sides by 4 to get 100%)

100% : $299

Rachel had a loan for $4,000 loan for 4 years.
She paid a total of $608 in simple interest over the 4 years.
What was the annual interest rate for the loan?

Answers

9514 1404 393

Answer:

  3.8%

Step-by-step explanation:

The interest on a simple-interest loan is ...

  I = Prt

where P is the principal value, r is the annual rate, and t is the number of years.

Solving for r, we get ...

  r = I/(Pt) = 608/(4000×4) = 0.038 = 3.8%

The annual interest rate for the loan was 3.8%.

Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options

Answers

What’s the options ?

The test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase?
A
median
B
mean
C
mode
D
range

Answers

Answer:

b

Step-by-step explanation:

PLEASEE HELP
EXTRA POINTS
BRAINLIEST

Painter Pete uses a ladder to reach a second story window on the house he is
painting. The bottom of the window is 20 feet above the ground. The foot of the
ladder 15 feet from the house. How long is the ladder?

Answers

Answer:

25 feet

Step-by-step explanation:

20^2 + 15^2 = 625

square root of 625 is 25

Answer:

that's a big ladder

35ft

Step-by-step explanation:

Marco is turning the expression (x-4)^2 into a trinomial. He writes down what is shown below. What is his error?

Answers

(x-4)(x-4)
=x^2-4x-4x+16
=x^2-8x+16
it’s +16, not negative. he forgot that when you add two negatives together, it becomes positive.

Answer:

Step-by-step explanation:

first, let's solve the equation ourselves.

(x-4)^2= (x-4)(x-4)= x^2−8x+16

now, we can see what's different about the two.

we can say that Marco's answer had the number 16 as a negative, when it was supposed to be positive. Marco wrote the incorrect sign.

Which is the graph of linear inequality x + 2y <= 12

Answers

X+2y=12
X+2y=12-12
X+2y-12=0

Answer:

B

Step-by-step explanation:

i got a 95% so i thinks its right

In the following equation, when x=0, what is the value of y?

3x + 4y = 12

Answers

Answer:

(3)(0)+4y=12

Step 1: Simplify both sides of the equation.

(3)(0)+4y=12

0+4y=12

(4y)+(0)=12(Combine Like Terms)

4y=12

4y=12

Step 2: Divide both sides by 4.

4y

4

=

12

4

y=3

Answer:

C. Y = 3

Step-by-step explanation:

plssssssssssssssssss helpppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Nice chrome book man. Better than a school laptop at least.
Mans for real said nice chrome book

Find the circumference of a circle with a diameter of 35 ft. Use 22/7 for π.

Answers

Answer:

110

Step-by-step explanation:

the equation for circumference of a circle is 2 multiplied by pie multiplied by radius. so you do 22/7 multiply that by two and then divide 35 by 2 and get 17.5 and multiply that by the pie times 2

⚠️⚠️⚠️HELP HELP HELP IMAGE ATTACHED EXTRA POINTS

Answers

Answer:

2

Step-by-step explanation:

No BS and show all of your work please and you must use the 1% or 10% method which I don’t know what that is LOL

Answers

I think it’s 10% since it’s more

Answers:

38% of 15 = 5.7

29% of 75 = 21.75

4% of 220 = 8.8

No idea what the 1% or 10% method is either. But these answers would be better then to leave the questions blank.

What is the unit rate for the ratio 4/7: 8/21?

Answers

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

[tex]Ratio = 4/7 : 8/21[/tex]

Required

Determine the unit rate

To do this, we need to express the ratio as:

[tex]Ratio = m : 1[/tex]

Where m is the unit rate

[tex]Ratio = 4/7 : 8/21[/tex]

Express as fraction

[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]

Solve

[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Express as ratio

[tex]Ratio = 1.5 : 1[/tex]

Hence, the unit rate is 1.5

Pls help help help pls

Answers

Answer:

Its the bottom left one :)

Step-by-step explanation:

look at pic 10 points

Answers

Answer:

120

Step-by-step explanation: 10 x 12 = 120 m. Hope this helps

Timmy and Sarah head out to dinner and Garfinkels in Vaile. Timmy brings $40 with him. If buy two French Dips costing $10.95 a piece and two sodas costs $1.95 each, how much does Timmy have left if there is a 6% sales tax and they tip 20% on the food including the sales tax

Answers

Answer:

$3.80

Step-by-step explanation: :)

A red die and a blue die are rolled. You win or lose money depending on the sum of the values of the two dice. If the sum is 6 or 10, you win $4. If the sum is 5, 9, or 12, you win $1. If the sum is any other value (2, 3, 4, 7, 8, or 11), you lose $2. Let X be a random variable that corresponds to your net winnings in dollars. What is the expected value of X

Answers

Answer:

The expected value of X is $0.0833.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

For each dice, there are 6 possible outcomes(values from 1 to 6). So for 2 dices, there are [tex]6^2 = 36[/tex] desired outcomes.

Desired outcomes:

Sum 5: (1,4), (2,3), (3,2), (4,1).

Sum 6: (1,5),(2,4),(3,3),(4,2),(5,1)

Sum of 9: (3,6), (4,5), (5,4), (6,3)

Sum of 10: (4,6), (5,5), (6,4)

Sum of 12: (6,6)

Probabilities:

5 + 3 = 8 outcomes in which the sum is 6 or 10, that is, 8/36 probability of winning $4.

4 + 4 + 1 = 9 outcomes in which the 5, 9, or 12, that is, 9/36 probability of winning $1.

36 - (8 + 9) = 36 - 17 = 19 remaining outcomes, that is, 19/36 probability of losing $2.

What is the expected value of X?

Multiplication of each outcome by its probability. So

[tex]E(X) = \frac{8}{36}*4 + \frac{9}{36}*1 - \frac{19}{36}*2 = \frac{8*4 + 9*1 - 19*2}{36} = \frac{32 + 9 - 38}{36} = \frac{3}{36} = 0.0833[/tex]

The expected value of X is $0.0833.

Tiffany said that there is no correlation between being a girl and playing in an intramural basketball league. Do you agree or disagree with Tiffany? Explain.

A.
Disagree, because the frequency indicates that there is a negative correlation to being a girl and being in an intramural league.

B.
Agreed; there is no correlation.


C.
Agree, because the frequency indicates that there is a positive correlation to being a girl and being in an intramural league.

Answers

Answer:

b

Step-by-step explanation:

A. 7
B. 8
C.9
D. 6
FOR BRAINLIST!!

Answers

Answer:

It is going to be C.9 hope this help hopefully not late. :D

Step-by-step explanation:

Its like a train so (2x3)+8x(7x-2)= your answer but you can solve it in a calculator :D

Answer:

D. 7

Step-by-step explanation:

According to this problem, the sum of the angles is 90°. This means we're adding.

2x + 3x + 8 + 7x - 2 = 90.

To make this easier to solve, we can combine like terms.

2x + 3x + 7x = 12x.

The remaining numbers are 8 and -2.

8 + -2 = 6

Our final expression is:

12x + 6 = 90

First, subtract 90 from 6 and get 84.

Lastly, divide the difference (84) by 12.

12x = 84

84 / 12 = 7.

Therefore, the value of x is 7.

3.5.2 Test (CSI) Question 6 of 12 Use the area of the rectangle to find the area of the triangle. 5 ft 10 ft O A. The area of the triangle is 25 square feet, because the area of the rectangle is 50 square feet O B. The area of the triangle is 25 square feet, because the area of the rectangle is 25 square feet C. The area of the triangle is 50 square feet, because the area of the rectangle is 50 square feet. D. The area of the triangle is 50 square feet, because the area of the rectangle is 100 square feet. SUBMIT PREVIOUS e 99+ Type here to search​

Answers

Answer:

c

Step-by-step explanation:

From an observation point A, a forest ranger sights a fire at a bearing of 215°50'. From a point b, 8 miles due west of A another ranger sights the fire at a bearing of 125°50'. Approximate to the nearest tenth of a mile, the distance of the fire from A.​

Answers

Answer:

Step-by-steYou have two angles,

A=32°20'

B=57°40'

so, angle F at the fire, is 90°

d/5 = cosA = .845

d = 4.2 mi

If angle F had not been 90°, then using the law of sines,

d/sinA = 5/sinF

for this problem, sinF = 1p explanation:

Answer:

Step-by-step explanation:

A culture of bacteria has an initial population of 470 bacteria and doubles every 8 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t ​ =P 0 ​ ⋅2 d t ​ , where P_tP t ​ is the population after t hours, P_0P 0 ​ is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 7 hours, to the nearest whole number?

Answers

Answer:

Step-by-step explanation:

The population of bacteria in the culture after 7 hours is approximately 883.

What is an exponential function?

Several real-world phenomena, including population expansion, radioactive decay, compound interest, and the spread of diseases, are modeled using exponential functions. In calculus, where they are used to define the exponential and logarithmic functions—essential ideas in calculus and other fields of mathematics—they also play a significant role.

Using the formula [tex]P_t = P_0 \times 2^{\frac{t}{d}}[/tex], where P_t is the population after t hours, P₀ is the initial population, t is the time in hours and d is the doubling time, we can find the population of bacteria in the culture after 7 hours as follows:

Since the initial population is 470, we have P₀ = 470.

The doubling time is 8 hours, so we have d = 8.

Substituting these values into the formula, we get:

[tex]P_7 = 470 \times 2^{\frac{7}{8}}[/tex]

P₇≈ 882.77

To know more about an exponential function follow

https://brainly.com/question/22967542

#SPJ2

Which is the best type of graph to show the kilograms of food consumed and kilograms of food wasted in the
school cafeteria each day?
A. stem and leaf plot

B. line graph

C. dot plot

D. double bar graph

Answers

Answer:

Double Bar Graph

Step-by-step explanation:

Answer the question please which of the following shows numbers in order from least to greatest

Answers

Answer:

I think it's b I'm not sure I'm sorry if it's wrong

find the value of x

plssss help me

Answers

Answer:

x = 20

Step-by-step explanation:

The angles are supplementary so:

7x + x + 20 = 180

8x + 20 = 180

8x = 160

x = 20

ur answer will be x=20 hope this helps you outburst
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