Find the distance between the two points in simplest radical form.
(6, 7) and (8,2)

Answers

Answer 1

Answer:

+sqrt(29)

Step-by-step explanation:

Note that the change in x (horizontal leg) is 8 - 6, or 2, and that the change in y (vertical leg) is |2 - 7|, or 5.  According to the Pythagorean Theorem, the length of the hypotenuse of the right triangle created here is:

distance = +sqrt(2^2 + 5^2), or +sqrt(29)


Related Questions

Brent divided 3 1/2 by 7. What number did he get?

Answers

Answer:

1/2 or .5

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation:hope this helps! :)

Mega Movies hosted a film premiere on Friday night. They charged $7 for adults and $5 for children. One hundred twenty-
three adults and children attended, and $829 was made in ticket sales. How many children and how many adults went to the
film premiere?

Answers

Answer: 235

Step-by-step explanation: Just easy

Answer:

33 kids n 94 kids

Step-by-step explanation:

Evaluate each expression for x =2 and Y = 5

Answers

Answer:

3: 14

4: 2/25

Step-by-step explanation:

Nick has $3.90 in quarters and dimes, and the total number of coins is 27. How many quarters and how many dimes? Can I have some help with formatting?

Answers

Answer:

There are 19 dimes and 8 quarters

Step-by-step explanation: Q= Quarter and D=dimes

q+d= 27;   q=.25 and d=.10;    

.25q+.10d= $3.90

q= 27-d

.25(27-d)+.10d=3.90    >Distribute .25 through the parenthesis

= 6.75-.25d+.10d=3.90  >Combine like terms

= -.15d=3.90-6.75 >Subtract 6.75 from both sides of the equation

=  -.15d=-2.85   >Subtract

=  d=19  >Divide both sides by -.15

q= 27-d>>>>> q= 27-19

q= 8

For some reason, in our history class, there are 14 boys than there are girls. If a total of 32 students are in the class, how many boys and how many girls are there?

Answers

Answer:

There are 23 boys and 9 girls in the class

Step-by-step explanation:

The given information is that the number of boys = 14 + The number of girls

The total number of boys and girls = 32

Let the number of girls = x

Therefore, we have;

The number of boys = 14 + x

The total number of boys and girls = 32 = The number of boys + The number of boys

The number of boys + The number of boys = 14 + x + x = 14 + 2·x

∴ The number of boys + The number of boys = 32 = 14 + 2·x

14 + 2·x = 32

2·x = 32 - 14 = 18

2·x = 18

x = 18/2 = 9

x = 9

Therefore, the number of boys is 14 + x = 14 + 9 = 23 boys

The number of boys = 23 boys

The number of girls = x = 9 girls

the number of boys = 23 boys

The number of girls = x = 9 girls

The number of girls = 9 girls

Therefore, there are 23 boys and 9 girls in the class.

find missing length​

Answers

Answer:

The missing Leg is X=21

Step-by-step explanation:

Decide whether there is enough information to prove that r is parallel to s. If so, state the theorem you would use.
A. No, there is not enough information.
B. Yes. Alternate Interior Angles Converse
C. Yes. Alternate Exterior Angles Converse
D. Yes.Consecutive Interior Angles Converse
E. Yes. Corresponding Angles Converse

Answers

Answer:

B. Yes. Alternate Interior Angles Converse

Step-by-step explanation:

The two angles shown in the figure above are alternate interior angles. Each is located within the two parallel lines intersected by the transversal, and they also lie on opposite side of the transversal.

The marked alternate interior angles are congruent. Therefore, lines r and s are parallel. So, by the Alternate Interior Angles Converse, lines r and s are parallel.

Therefore, the right response to the question is:

"B. Yes. Alternate Interior Angles Converse".

graph y=4/5x - 7 pls

Answers

Your graph is correct

Answer:

I'm not exactly sure what you want answered here because you have the correct graph, but this is my graph and it's the same as yours

To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph. She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph. At what time will Amanda get to work if she leaves home at 8:30 AM?

Answers

Answer:

9:45 AM

Step-by-step explanation:

To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph.

Time (hours) = Distance/speed

Hence, the time she spends cycling = 10mile/12 mph

= 0.8333333333 hour

Converting to minutes:

1 hour = 60 minutes

0.8333333333 hour =

0.8333333333 hours × 60 minutes/1 hour

= 50 minutes.

Hence, she spends 50 minutes cycling

She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph.

The total number of minutes she spends to get to work is calculated as:

(50 + 10 + 15)minutes

= 75 minutes.

It takes Amanda 75 minutes to get to work.

At what time will Amanda get to work if she leaves home at 8:30 AM?

= 8:30AM + 75 minutes

= 8:30 AM + 1 hour 15 minutes

= 9:45 AM

If x^2+x =3^2/3+3^-2/3 then prove that 3x^3+9x-8=0

Answers

x^2 + 2 = 3^2/3 + 3^-2/3

x^2 = 3^2/3 + 3^-2/3 - 2

x = √(3^2/3 + 3^-2/3 - 2)

x = 0.748888296

Substitute for x in 3x^3 + 9x - 8:

3( 0.748888296)^3 + 9( 0.748888296) - 8 = 0.

So it is proved.

Aimee noticed her plant grew Two-thirds of an inch every week since it sprouted. She created this graph to show its growth.

On a coordinate plane, a graph titled Plant Growth has Weeks Since Sprouting on the x-axis and Height (inches) on the y-axis. Points (3, 2) and (6, 4) are plotted.

Which statement about Aimee’s graph is true?

Answers

Answer:do u have the statements

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

PLS HELP ASAP!! 20 POINTS

Answers

I think the answer is B, because it’s make more sense.

Answer:

The construction describe :---

a) The bisector of angle BAC.

Round 61 grams to the nearest ten grams.

Answers

Answer:

60

Step-by-step explanation:

What is the solution: 3x + 9 = 2x + 5

Answers

3X+9= 2x+5
-2x. -2x
1x+9 = 5
-9. -9
X=-4

Dylan created a scatter plot and drew a line of best fit, as shown. What is the equation of the line of best fit that Dylan drew? A. B. C. D.

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

It would be D, hope this helps!

ILL MARK AS BRAINLESS PLS HELP HURRY WHAT THE AREA

Answers

Answer:

72 square inches

Step-by-step explanation:

Area = Length * width

= 12 * 6

= 72 square inches

Answer:

72 sq. in

Step-by-step explanation:

area = length, times, width

12 times 6 = 72

how do i factor this?

Answers

I don't know how to show the work but the answer is:

2(4x^2+3x-2)

The Organic Chemistry Tutor could help if you need to show your work

I need help i will give you Brainliest if it’s correct.. thank you.

Answers

Answer:

5 to the left and 7 up.

Step-by-step explanation:

Count 5 times to the left (starting from any one of the original points), then 7 units up from where ever you ended.    

What is the value of 10/0 . Show & explain why

Answers

Answer:

10/0 = 1/0 If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

Step-by-step explanation:

hope this helps

answer:

10 / 0 =

undefined

step-by-step explanation:

the value of zero is zero. the natural numbers are often defined as beginning with a number like 1.

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Willie left the mall and traveled toward the town hall at an average speed of 40 km/h. Gabriella left two hours later and traveled in the opposite direction with an average speed of 70 km/h. Find the number of hours Gabriella needs to travel before they are 410 km apart.

Answers

Answer:

Gabriella need to 2.45 hours of travelling to be 410km apart from Willie.

Step-by-step explanation:

In order to make them 410km apart and the time included in it is to be found

we proceed as

Willie left the mall earlier and Gabriella left two hours before

so willie has travelled for 2 hours while Gabriella was still at the initial point

with this logic we find the hours Gabriella needs as follows

              Willie               Gabriella

              ←←←←←←←←  →→→→→→→→→→

                40km/h            70km/h      

                 X hours             X+2 hours

40*x+70(x+2) = 410

40x+70x + 140=410

110x=270

x=270/110

x= 2.45hrs

(-1,2)(1.17) (3, -4)(1.20)
is this a function or relation

Answers

Answer:

relation

Step-by-step explanation:

The car is traveling 80 kilometers per hour What is the slope of the line

Answers

Answer:

speed at a given instant

Step-by-step explanation:

instantaneous speed

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Answers

Answer:

wow

Step-by-step explanation:

If I multiply my number by 5, I will get 60 more than my number. What is my number?

Answers

Answer:

12 cuz 12 multiply by 5 and you get 60

Step-by-step explanation:

If the interval (a, “infinity”) describes all values of x for which the graph of f(x) = 4/x^2 - 6x +9 is decreasing, what is the value of a?

Answers

Answer:

1

Step-by-step explanation:

x^2 that squared its not included x have invisible 1 thats my answer is 1

Answer: the value of A is 3 :)

Step-by-step explanation:

Which algebraic expression represents the phrase "seven more than half of a number”?
o 7 -1/2x
o -7+1/2x
o 1/2x+7
o -1/2x-7

PLEASE HELPPPP

Answers

Answer:

C

Step-by-step explanation:

Seven more is addition (+7)

Half a number would be represented by 1/2, and since the number is unknown, it would be represented by a variable (in this case, x)

C is the correct response

Hope this helps!

Mr. Mohr wants to build a rectangular patio using concrete tiles that are 12 square inches. The patio will measure 13.5 feet by 43 feet. What is the area of the patio? How many concrete tiles will he need to complete the patio?

Answers

Answer: He will need 49 tiles.

Step-by-step explanation:

Given: The patio will measure 13.5 feet by 43 feet.

Area of patio = 13.5 feet x 43 feet   [Area = length x width]

= 580.5 sq. feet

Since area of each concrete tile = 12 sq. inch

Number of concrete tiles required to cover patio = (Area of patio) ÷ (area of each concrete tile)

= 580.5 ÷  12

= 48.375 sq. inch ≈49

Hence, he will need 49 tiles.

Answer:

49 tiles

Step-by-step explanation:

Answer: He will need 49 tiles.

Step-by-step explanation:

Given: The patio will measure 13.5 feet by 43 feet.

Area of patio = 13.5 feet x 43 feet [Area = length x width]

= 580.5 sq. feet

Since area of each concrete tile = 12 sq. inch

Number of concrete tiles required to cover patio = (Area of patio) ÷ (area of each concrete tile)

= 580.5 ÷ 12

= 48.375 sq. inch ≈49

Hence, he will need 49 tiles.

can you please explain slope, the y-intercept, how to find the equation and how to graph it properly?​

Answers

Answer:

Slope is a line on a graph, you find slope with the m=yx+b equation. Y intercept is the point that the line crosses the y axis at, it is represented by b. X and Y in the equation are your coordinates. You graph it by starting at your y-intercept and going up in a straight line following the slope calculated.

Step-by-step explanation:

how long will it take a dog to walk around the block if the distance is 6 miles in the dog walks 2 mph​

Answers

Answer:

12 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think 62

Which function matches the table?
Number of Days Rented
1
2
3
4
Rental Cost ($)
12
17
22
27
A. f(x) = 5x
B. f(x) = 5 + 5x
0 Ç. f(x) = 7 + 5x
O D. f(x) = 12 + 5x

Answers

Answer:C. f(x)=7+5x

Step-by-step explanation:

12=5(1)+n

12=5+b

-b+12=5

-b=5-12

5-12=7

-b=7

f(x)=7+5x

I know this because I just answered this question and got it right

The equation of the function is f(x) = 7 + 5x option (C) f(x) = 7 + 5x is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The table is given,

From the data given in the table:

12 = 5(1)+n

12 = 5+b

b = 7

The function would be:

f(x) = 7 + 5x

Thus, the equation of the function is f(x) = 7 + 5x option (C) f(x) = 7 + 5x is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

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