7. If A (6,8) and B (7, 4J are two points,
find the distance between a andB.
any
- Solo,​

Answers

Answer 1

Answer:

√17 units

Step-by-step explanation:

(6, 8) & (7, 4)

To find the distance between two points, we use the distance formula:

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

Plug in the values you know.

[tex]d = \sqrt{(7 -6)^2 + (4 -8)^2 }[/tex]

Evaluate the parentheses.

[tex]d = \sqrt{(1)^2 + (-4)^2 }[/tex]

Evaluate the exponents.

[tex]d = \sqrt{(1) + (16) }[/tex]

Add.

[tex]d = \sqrt{(17)[/tex]

Evaluate the square root.

[tex]d=\sqrt{17}[/tex]

This square root is already fully simplified.

Your answer is √17 units.

Hope this helps!


Related Questions

Which fraction is less 2/9 1/3

Answers

Answer:

2/9 is less than 1/3

Step-by-step explanation:

2/9= 0.222

1/3=0.333

please help me ill give you the crown thing if its right no joke

Answers

Answer: Third option

Step-by-step explanation:

The amount in each of the 3 busses (g) is fixed and equal, so 200+3g represents that

Help me please I need it

Answers

Step-by-step explanation:

see the photo for explanation

Answer:

We are finding hypotenuse

3^2 + 2.5^2

9 + 6.25 = 15.25

3.9^2 = 15.21 close enough.

3.9 would be your answer.

When finding the hypotenuse, we square the two given lengths add them up and then that number you get from adding them up, there should be a number that will be squared that will equal that number that you added up.

X A padlock's combination is five digits long using the digits o through 9. 0/4 Numbers can repeat within the combination. What is the probability that my combination has all even numbers in it (for example 22222 or 86840)? 0.01 w 0.03 0.05 Х O 0.1 Correct answer 0.03 OFC mooton Monday or Tuesday at 3PM 4PM​

Answers

Answer:

Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.

If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.

The number of permutations of n objects taken r at a time is determined by the following formula:

P(n,r)=n!(n−r)!

Example

A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?

A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:

P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040

In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:

C(n,r)=n!(n−r)!r!

Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?

Step-by-step explanation:

What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest
tenth of a cubic meter?

Answers

Answer:

19.4 m³

Step-by-step explanation:

V=[tex]\frac{4}{3} \pi r^{3}[/tex]

radius-2.1

plug in:[tex]\frac{4}{3} (2.1)^{3}[/tex] =38.7923860865

[tex]\frac{38.7923860865}{2}[/tex] =19.3961930433

=19.4²

Biologists studying wildlife in the state parks want to estimate the average weight of chipmunks. They measured the weights of 5 chipmunks from each of 10 parks. The mean of the data was 91 grams, and the median was 87 grams

Answers

Answer:

The average weight of the chipmunks is 91 grams

Step-by-step explanation:

The mean of a dataset gives the average which is obtained by taking the sun of each data value and dividing by the number of samples. The median however requires the arrangement of data in terms of size ze (ascending) and taking the mid value (value which falls in the 50% mark). For the data above, the most appropriate measure of the average is the mean. Hence, the prediction which matches the data is ; The average weight of the chipmunks is 91 grams.

Based on the data that the Biologists found out, the prediction that best matches the data is The average weight of the chipmunks is 91 grams.

What does the data say?

The data shows the weights of the five chipmunks that were recorded and the mean of these weights was 91 grams.

The mean of a dataset is the same as its average which means that the average weight found from the chipmunks was 91 grams.

In conclusion, option D is correct.

Options for this question are:

About one-half of the chipmunks weigh more than 91 grams

The average weight of the chipmunks is 87 grams.

About one-half of the chipmunks weigh more than 87 grams

The average weight of the chipmunks is 91 grams

Find out more on averages at https://brainly.com/question/14532771.

Carter is going to invest $79000 and leave it in an account for 12 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required for carter to end up with $121000?

Answers

Answer:

r≈3.55%

Step-by-step explanation:

omg bet you don't know this pt2

Answers

Answer:

look at what the angle represent in the arrows

Step-by-step explanation:

Answers are 3/4 and 4/6

Pleaseeeee helppppppppppppppp

Answers

Answer:

B

Step-by-step explanation:

a biconditional is if and only if


HELP !!!!!!!!!!!!!! PLS

Answers

Answer:

I think it will be (x+7)^2 =16

I'm not for sure but I think this is it.

Step-by-step explanation:

Can someone plz help me plz I beg uuuu plz I will really appreciate it

Answers

x is equal to 45 because the whole thing is supposed to equal 180

Answer:

x=45

Step-by-step explanation:

(2x+10) + 30 + 50 = 180

2x+10+30+50 = 180

2x+90=180

2x=90

x-45

A mother is now 2 1/2 times old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother.

Answers

Answer:

The present age of the mother is 40 years

Step-by-step explanation:

Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then

M = 2.5D

Given that Four years ago the ratio of their ages was 3:1

The mother's age 4 years ago was

= M - 4

and that of the daughter then was

= D - 4

Hence

(M - 4)/(D - 4) = 3/1

Cross multiply

M - 4 = 3(D - 4)

M - 4  = 3D - 12

M = 3D - 12 + 4

M = 3D - 8

Substitute into the first equation

3D - 8 = 2.5D

3D -2.5D = 8

0.5D = 8

D = 8/0.5

= 16 Years

M = 2.5D

M = 2.5 * 16

= 40 Years

How do you find a factor in a graph?

Answers

you look for the points where x=0 or when the graph touches the x axis

move numbers to the table to show the value of x that satisfies each question
equation 2^x = 16
4^x = 1/16

Answers

The first empty box the answer is 3
The second empty box the answer is -3

PLLLZZZZ HELPPPPPPP MEHHHHHH

Answers

The sum of x and y is a rational number

help pls ! just answer this and that’s it. tysm if you do

Answers

Answer:

-4.5

Step-by-step explanation:

so i personally think that the answer is -4.5.

my reason is that since point A is -7.7, and point C is 0, it has to be close to point A. since a negative that has a smaller number (ex: -3 > -8) is worth more than a negative with a bigger number, the answer can't be -9.2 or -8. now we're left with -4.5 and -1.3. Since -1.3 would be a closer point to 0, and B is pretty far from C, -4.5 is the most reasonable answer.

hope this helps !

In a quiz, you receive 7 points for a correct answer and –4 points for an incorrect answer.You receive 0 points if you do not answer the question.There are 20 questions in total.Is it possible to get a score of –11 in this quiz?

Answers

Answer:

Yes it is possible

Step-by-step explanation:

Given

[tex]n = 20[/tex]

[tex]x= 7[/tex] --- correct

[tex]y = -4[/tex] --- wrong

[tex]z = 0[/tex] --- empty answer

Required

Is a total of -11 possible?

To do this, we apply trial by error method.

After so many approaches, I found the following solution

[tex]x \to 3[/tex] -- Got 3 correctly

[tex]y \to 8[/tex] --- Failed 8

[tex]z \to 9[/tex] ---- Didn't answer 9

The above will give a score of -11.

We have:

[tex]3x+8y+9z[/tex]

[tex]3x+8y+9z = 3 * 7 + 8 * -4 + 9 * 0[/tex]

[tex]3x+8y+9z = 21-32 + 0[/tex]

[tex]3x+8y+9z = -11[/tex]

Hence, a score of -11 is possible

3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of
20 feet per second. The height h in feet of the ball is given by h = -167 + 20t +6,
where t is the time elapsed in seconds. How long will it take the ball to hit the
ground if no other players touch it? State the method you used to solve this
quadratic equation and why you chose that method.

Answers

Answer:

1.5secs

Step-by-step explanation:

Given the expression that models  the height as;

h(t) = -16t²+20t +6

The ball will touch the ground at when h(t) = 0

0 =  -16t²+20t +6

Swap

-16t²+20t +6 = 0

Divide through by -2

8t²-10t-3 = 0

Expand using the general formula

t = -(-10)±√(-10)²-4(8)(-3)/2(8)

t = 10±√100+96/16

t = 10±√196/16

t = 10±14/16

t = 10+14/16

t = 24/16

t = 1.5

Hence it will take the ball 1.5secs to hit the ground

hey what's the answer !!

[tex] \sqrt{98 - ( 17)} [/tex]

(ノ≧∇≦)ノ ​

Answers

Answer:

√98-17

=√ 81

=√ (9)^2

=9 is ans

Answer:

[tex] \sqrt{98 - ( 17)} [/tex]

[tex] {\sqrt{81}} [/tex]

[tex] {\sqrt{9²}} [/tex]=±9

is your answer

Find the surface area of the prism.

Answers

Answer:

58.1 (not rounded)

Step-by-step explanation:

You add all sides given to you to get the SA of the prism.

Please help. SINE=?

Answers

opposite/hypotenuse = sine

Answer:

opposite - hypotenuse

Solve for x.
[tex]25x = 100[/tex]

Answers

Answer:

Solution given:

[tex]25x = 100[/tex]

[tex]x = \frac{100}{25}[/tex]

[tex]x = 4[/tex]

x=4 is a required answer.

Let's check

25x=100x=100/25x=4/1x=4

x is 4

Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write an equation in slope-intercept form to find the total distance y Geoff travels after x hours.

Answers

Answer:

d(x) = 3.5x + 0.5

Step-by-step explanation:

3.5 x 5 = 17.5 which means the canoe began from a starting point of 0.5

Answer:

y−18=3.5(x−5)

Step-by-step explanation:

from mcgraw hill

A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each green marble was labeled with a different number, 1 through 4. Which set represents the event, A, that Karen took a marble that was either green or had an even number?

Answers

Answer:

I think is b

Step-by-step explanation:

What is the value of the expression below?
900 – 2 x (18x3)

Help it’s for a test and I need it done in under 20 mins

Answers

Don’t know if this is right but I would do the brackets first 18 x 3=54, then I would multiply that number by 2 so 54 x 2=108, then I would subtract it from 900 so 900-108=792
i think the answer is 900-108x

I hope it helps you :)

plz help what’s the answer

Answers

Answer:

a. 192 b.60 c. 184, 164, 350

Step-by-step explanation:

a.Total of males=88+104

b.Female, Anaerobic=156-96

c. aerobic= 88+96=184

anaerobic=104+60

total=192+158

PLEASE HELP
WILL GIVE BRAINLIEST!!!

Answers

Answer:

12/25

Step-by-step explanation:

The problem tells us that we need to use 25 equally sized stones to make a 12 feet long path. As the stones must be equally sized, you have to divide 12 by 25 to distribute the feet length equally. Therefore, 12 divided by 25 is just rewritten as 12/25 feet long.

simplify.
PLEASE HELP ITS DUE IN 5 MINUTES
(top number is a 6)

Answers

Answer:

[tex]\frac{24}{11}+\frac{6\sqrt{5} }{11}[/tex]

Step-by-step explanation:

Multiply the fraction by the conjugate and solve (would explain more but you're on a time crunch)

What is the solution to the system of linear equations graphed below?

Answers

Answer:

(1/2,4)

Step-by-step explanation:

because that is where the line crosses each other

the x is 1/2

the y is 4

The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately how many students were enrolled at South High School in 2010?
A.About 10,985 students
B.About 9,552 students
C.About 5,366 students
D.About 5,740 students

Answers

Answer: A.

Step-by-step explanation:

Answer:

A (10,985)

Step-by-step explanation:

y= 1,350(1+0.15)^15

1,350 is the student =a

0.15 which originally was 15% is the rate. =r

^15 is the time because 1995 to 2010 took 15 years. =t

The equation I use for this question:

y=a(1+r)^t  a.k.a Exponential growth formula

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