Mathematics High School

whats the distance between (-4, 6) and (3, -7)

Answers

Answer 1

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{218} \: \: units}}}}}[/tex]

Step-by-step explanation:

Let the points be A and B

Let A ( -4 , 6 ) be ( x₁ , y₁ ) and B ( 3 , -7 ) be ( x₂ , y₂ )

Finding the distance between these two points

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - ( - 4))}^{2} + { (- 7 - 6)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 + 4)}^{2} + {( - 7 - 6)}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{ {7}^{2} + {13}^{2} } }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{49 + 169} }}[/tex]

[tex] \dashrightarrow{ \sf{ \sqrt{218}}} [/tex] units

Hope I helped!

Best regards! :D

Related Questions

What is equivalent to -36 -8

Answers

Answer:

B

Step-by-step explanation:

It's not A because the 8 is positive.

It's not C because the 36 is positive.

And it's not D because both numbers are positive.

Which numbers in set A = {-7,-4,2,14,21,34,42} are elements of both set B and set C, shown below?

Set B= {even numbers} Set C= {multiples of 7}

_______ or ________
Enter answers from smallest to largest

Answers

Answer:

Hey there!

The numbers in set A and B are 14, and 42.  

Let me know if this helps :)

Answer:

14 & 42

Step-by-step explanation:

Because they are the only even numbers found in set A. And also found in the multiplies of 7 in set B.

Calculate unit _____ for rates to compare quantities

Answers

Answer:

rate

Step-by-step explanation:

Calculate unit rate for rates to compare quantities

Plz help fast aaaaaaaaahhhhhhhh

Answers

Answer:

70

Step-by-step explanation:

250 costumers who bought gas

72% of the costumer made an additional purchases.

find:

how many of the costumers made additional purchases?

solution:

250 - (0.72 x 250) = 70

Is 7.87400787401 a rational or irrational number?

Answers

It’s an Irrational number

find the distance between each points (-1,4) (1,-1)

Answers

Answer: The distance is about 5.39 units

Step-by-step explanation:

To find the distance between the two points find the difference in the x and y coordinates and square them to add them and find their square root.

4-(-1) = 5

-1 -1 = -2

5^2 + -2^2 = d^2  where d is the distance

25 + 4 = d^2

29 = d^2

d = [tex]\sqrt{29}[/tex]

d= 5.39

a building is 3.1×10^2 feet high.a new roof increased its hight by 0.00005 feet how high is the building now​

Answers

you get this 177 and that would be it

Please help. What is the answer to the Algebra 2 question

Answers

Answer:

(- ∞,1]

Step-by-step explanation:

NEED HELP ASAP PLEASE ON ALL OF THEM !!!!

Answers

SNKRS watch Poseidon last by laughably Lance

What is 2x+x+7x+4y-2y

Answers

10x+2y, this is the simplified version

Answer:

2x +x +7x +4y -2y= 3x +7x +2y=10x +2y= 2×(5x +y)

What is the number in scientific notation of 0.0765

Answers

Answer:

7.65x10^-2  should be your answer

Step-by-step explanation:

an adult panda will eat at least 20 pounds of bamboo every day. What an inequality that expresses this situation. ​

Answers

Answer:

is greater than or equal to 20

The area of a rectangle is 25/42 and its width is 5/6. What is the length? ASAP

Answers

Answer:

[tex]length = \frac{25}{28} [/tex]

Step-by-step explanation:

Let the length of the rectangle be l

Area of a rectangle = length × width

From the question

Area = 25/42

width = 5/6

Substitute the values into the above formula and solve for the length

That's

[tex]length = \frac{area}{width} [/tex]

So we have

[tex]length = \frac{25}{42} \div \frac{4}{6} \\ = \frac{25}{42} \times \frac{6}{4} \\ = \frac{25}{7} \times \frac{1}{4} [/tex]

We have the final answer as

[tex] \frac{25}{28} [/tex]

Hope this helps you

If it is 5º outside and the temperature will drop 17º in the next six hours,how cold will it get? *

Answers

Answer:

-12 degree hope this helps you

Step-by-step explanation:

:

5 - 17 = -12

Answer:

_________

-12 degrees.

Middle schoolers help!!!!!!!Witch expresion has the same value has the model bellow!

Answers

Answer:

Its the second one 4-(-8)

(-5)-9=
A.-19
B.-9
C.9
D.19

Answers

Answer:

-14 is the answer

cos' -5 - 9 is like you owe 5 dollars and you owe 9 dollars that is you owe 14 dollars so because you owe it will be -14

Step-by-step explanation:

Please mark me as the brainliest. It really helps

What is 7.96 repeating as a mixed number in simplest form

Answers

Answer:

Ion even know jus need points

Step-by-step explanation:

help w this / asap! ​

Answers

Answer:

The answer should be p >= 7

"Four more than the quotient of a number and 3 is at most 9."

Answers

Answer:

(n/3) + 4 ≤ 9

Step-by-step explanation:

"Four more than the quotient of a number and 3" is represented by

n/3 + 4

and this quantity is "at most 9:"

And so we get:

(n/3) + 4 ≤ 9

The label on Emma's muffin said that one serving provided 6 grams of fat, which is 10% of the recommended daily amount. What is the total recommended daily amount of fat?

Answers

0.6 because 6 divided by 10% is 0.6

A basketball concession stand sells soda for $1.50, a bag of popcorn for $.50, and a candy bar for $1.25. At one game, 17 fewer candy bars were sold than bags of popcorn. That same night, the number of sodas sold was 7 more than the number of candy bars and bags of popcorn sold altogether. If the concession stand made $130 that night, how many of each item were sold?

Answers

Answer:

87 I am getting points yayyyy

Why might this information be important to Jack in the Box?

Answers

Answer:

They have the most sales on Thursdays, and the least sales on Friday, so they might want to have specials on Friday to get more people.

Plz help! Ive been stuck on this for hours!!!!

Answers

Answer:

h[tex]\geq[/tex]8

Step-by-step explanation:

h-(-2)[tex]\geq[/tex]10=h+2[tex]\geq[/tex]10

subtract 2 on both sides to get h[tex]\geq[/tex]8

h must be greater than ir equal to 8

Kenji scores 23 points per coin. After collecting a total of 2 coins, how many points will Kenji have scored in all?

Answers

Answer:

46

Step-by-step explanation:

23 x 2 = 46

Hope this helps!

How to solve
- 2b
-- 5(b-6)

Answers

(b + 2) • (b - 1) • (b - 3)

Answer:

-2b

-5b+30

Step-by-step explanation:

-2b

-5×b= -5b

-5×-6= (+)30

cancels out the negative because a negative times a negative is a positive

terry earn $35.75 for working for 5 hours. how much did terry earn per hour

Answers

Answer:

Step-by-step explanation

Divide 35.75 and 5 and you get 7.15 an hour .

3. Factor x2 + 5x + 6.

Answers

Answer:

( x+3) (x+2)

Step-by-step explanation:

x^2 + 5x + 6.

What two numbers multiply to 6 and add to 5

(3*2) = 6

3+2 = 5

( x+3) (x+2)

Answer:

[tex]\left(x+2\right)\left(x+3\right)[/tex]

Step-by-step explanation:

[tex]x^2+5x+6\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)\\\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+6\mathrm{:\quad }3\left(x+2\right)\\=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\=\left(x+2\right)\left(x+3\right)[/tex]

A bicyclist travels at a constant speed of 18 miles per hour for a total of 27minutes. Choose the function, the domain and the range according to the situation.

Answers

Answer:

domain is (xo ≤ x ≤ 0.45 )

range is  (xo ≤ y ≤ 8.1 )

Step-by-step explanation:

given data

constant speed = 18 miles per hour

total time = 27 minutes = 0.45 hour

solution

we consider here  Domain number of hours   = x and Range distance traveled  = y

we apply here distanace formula that is

Distance = speed × time    .........................1

put here value

Distance = 18 × 0.45 = 8.1 miles

and no of hours x = 0 to 0.45 hours

so here

So domain is (xo ≤ x ≤ 0.45 )

and

Distance is 0 to 8.1 miles

So range is  (xo ≤ y ≤ 8.1 )

There are 200 pupils in year 11.
125 are female, of these 68 have school dinners.
52 boys have school dinners.
Use this information to complete the frequency tree.

Answers

Answer:

Sbsnsndndndjjbsndmmdmddndndn

Step-by-step explanation:

Bsbsnsjsjskdkck

Is 4.85912 rational number

Answers

Yes, it is a rational number. It is a rational number because you can write it as a fraction.
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