Using PT in the Coordinate System
llus
Find the distance between the two points.
(-1,3)
(4,2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

Answer 1

Answer:

The distance between the two points is [tex]\sqrt{26}[/tex]

Step-by-step explanation:

The formula of the distance between two points (x1, y1) and (x2, y2) is

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

∵ The points are (-1, 3) and (4, 2)

x1 = -1 and x2 = 4

y1 = 3 and y2 = 2

→ Substitute them in the formula of the distance above

∵ d = [tex]\sqrt{(4--1)^{2}+(2-3)^{2}}[/tex]

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

∴ d = [tex]\sqrt{(5)^{2}+1}[/tex]

∴ d = [tex]\sqrt{25+1}[/tex]

∴ d = [tex]\sqrt{26}[/tex]

The distance between the two points is [tex]\sqrt{26}[/tex]


Related Questions

Two communication companies offer calling plans. With company x, it cost 35 cents to connect and then 5 cents for each minute.With company y, it cost 15 cents to connect and the 4 cents for each minute. Write and simplify an expression that represents how much more company x charges than company y, in cent, for n minutes

Answers

Answer:

34

Step-by-step explanation:

Subtract and divide

The amount of money company x charges than company y, in cent, for n minutes will be (20 + n) cents.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

With company x, it cost 35 cents to connect and then 5 cents for each minute.

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Now,

Since, With company x, it cost 35 cents to connect and then 5 cents for each minute.

Hence, The cost for n minutes with company x is,

⇒ 35 + 5n

And, With company y, it cost 15 cents to connect and the 4 cents for each minute.

Hence, The cost for n minutes with company y is,

⇒ 15 + 4n

Thus, The amount of money company x charges than company y, in cent, for n minutes = 35 + 5n - (15 + 4n)

                     = 35 + 5n - 15 - 4n

                     = (20 + n) cents

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Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

Answer:

18

Step-by-step explanation:

If he has worked for 9 hours and its 50% done he has to work for 9 more hours to get it finished so he would have worked on it for 18 hours to get it totally finished

Thomas will take a total time of 18 hours to complete the entire project.

What is Percentage?

Percentage of a number is the number of parts of that number in a total of 100. Percentage of a number is found by dividing the number with the whole and then multiply with 100.

Thomas has finished 50% of an art project that has taken him a total of 9 hours.

Let W be the work Thomas has to finish.

Quantity of work Thomas finished in 9 hours = 50% of W

                                                                           = (50/100) × W

                                                                           = 0.5W

Remaining work to complete = W - 0.5 W = 0.5W

Again he has to complete 0.5W of total work W which will take an additional 9 hours.

So the total time taken = 9 + 9 = 18 hours.

Hence the total time needed for Thomas to complete the work is 18 hours.

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Express 0.495 in standard form

Answers

Answer:

4.95 x 10^-1

Step-by-step explanation:

4.95 x 10^-1

4.95 x 10^-1 is your answer.

Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10

Answers

Answer:

−4x^3+12

Step-by-step explanation:

2+3x^3-7x^3+10

simplify this

−4x3+12

Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?

Answers

Answer:

Huilan is 12 and Thomas is 6

Step-by-step explanation:

Answer:

thomas is 6 years old

Step-by-step explanation:

if he is 6. 6x2=12 +6 =18

Y’all I need it by today please


Find the equation of the quadratic function y = ax^2+ bx + c which
passes through the points (-1, 9), (2, 3), and (5, 15).

Answers

Answer:

y=(x-1.5)^2+2.75

Step-by-step explanation:

Hope I could help!

What is 2/5 ÷ 1/10 = ?​

Answers

=2/5÷1/10=2/5×10/1=2×2 =4 ans it was so simple

3x −4 = 11 what is the answer

Answers

Answer:

x=5

Step-by-step explanation:

Answer:

the answer is x=5                              

The body mass of a bird?
A) categorical
B)Discrete
C)continuous

Answers

Answer:

Categorical

Step-by-step explanation:

The graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years

Answers

Answer:

the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.

how do we find the value of y when x = 0​

Answers

Answer:

both variables are just 0-

What is the area of a rectangle with a width of x2 + x + 1 and a length of
3x2 - 2x - 1?

Answers

Answer:

[tex]x^{4}[/tex] + 3x³ - 3x - 1

Step-by-step explanation:

The area (A) of a rectangle is calculated as

A = lw ( l is the length and w the width ) , thus

A = (3x² - 2x - 1)(x² + x + 1)

Each term in the second factor is multiplied by each term in the first factor, then

A = 3x²(x² + x + 1) - 2x(x² + x + 1) - 1(x² + x + 1) ← distribute parenthesis

   = 3[tex]x^{4}[/tex] + 3x³ + 3x² - 2[tex]x^{4}[/tex] - 2x² - 2x - x² - x - 1 ← collect like terms

   = [tex]x^{4}[/tex] + 3x³ - 3x - 1

which model represents 1/3​

Answers

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

What set of transformations could be applied to rectangle ABCD to create A'B'C'D'?

Answers

Answer: C :>

Step-by-step explanation:

Answer:

the answer is number 3

How much is 2% of 3.50

Answers

Answer:

.07

Step-by-step explanation:

3.50 * 2% = .07

or

3.50 * .02 = .07

A hot air balloon was flying at an altitude of 150 meters when the pilot decided to land by descending at a rate of 3 yards per second . For which of these functions does y represent the altitude of the hot air balloon represents the number of seconds since the pilot started her landing ? A.y=-3x+150 B. y=-3x-150 C.y=3x+150 D.y = 3x - 150

Answers

Answer:

A

Step-by-step explanation:

y = -3x + 150

I hope this is right.

Can someone explain to me how to get the answer:

-3 |2d| = 12

Answers

-3×2d=12

-6d=12

d=12÷(-6)

then d= -2

Hope this helps.

brainliest if correct1+1​

Answers

Answer:

11

Step-by-step explanation:

:>

Answer:

1+1=2 is the answer

Step-by-step explanation:

mark me as brainlist

Which expression is equivalent to (q^4)^-3/q^-15 for all values of q where the expression is defined?

Answers

Answer: (h)q^3

Step-by-step explanation:

Can somebody plz answer this math problem correctly thanks!

WILL MARK BRAINLIEST :D

Answers

Answer:

Ellen and Blake answered 20 questions correctly since Ellen had 0.8 correct and that is 80% same with Blake

Stephen scored a .84 or an 84%

I hope this helps :)

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

Stephen: 21

Ellen: 20

Blake: 20

Step-by-step explanation:

If youre looking for more in depth answers:

Stephen received a 21 / 25 (84%)

Ellen received a 20 / 25 (80%)

Black received a 20 / 25 (80%)

5. The price of a new gym bag is $37.00 plus 8% sales tax. What is the sales tax on this gym
bag in dollars and cents?

Answers

Answer:

$25.00 which is $24.50

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): Dot was discarded near "x.s".

(2): "37." was replaced by "(37/1)".

Unauthorized use of the imaginary unit "i" or syntax error in complex arithmetic expression

plzzz help me with this ​

Answers

Ok, to prove the two triangles, we need reasoning:

1) the side AC is common (as you can see, both triangles share the side AC)

2) angle DCA is equal to angle BAC (this is due to alternate angles)

3) angle BCA is equal to angle DA (again, this is due to alternate angles)

Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.

Answers

It would take 29 gallons of gas because when you divide 468/18=26 and then you would divide 754/26=29.

Answer:

29 gallons.

Step-by-step explanation:

For every gallon, a total number of 468/18 miles = 26 miles could be travelled.

And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.

Hope this helped!

Expand the expression 2(y + 5x)

Answers

Answer:

2y+10x

Step-by-step explanation:

distribute the 2 into the rest of the equation

:P HELLLP what is (13x20)5+6 = ___ - 1/3.

Answers

Answer: 1304.7

Step-by-step explanation: just took test

13x20. 5 + 6 = 11?
^. ^
260 11

if there are 250 fish in the lake and 50 more are added each year, write a linear equation

Answers

linear equation: y = 50x + 250

A rule for creating a pattern is given below. Rule: Multiply X by 3. Then subtract 1 from the result to get y.

Answers

Answer:

y=3x-1

Step-by-step explanation:

Evaluate the step function for the given input values.
-4, -35 x < -1
-1, -1sx<2
g(x) =
3, 25x< 4
5, x 24
9(2) =
g(-2) =
g(5) =

Answers

Answer:

I would, but the way this is set up is VERY confusing. sorry. maybe try to fix it after copying and pasting to make sure it makes sense.

The evaluated values of the step function for the given input values are as g(-2) = -4, g(2) = 3, and g(5) = 5.

To evaluate the step function g(x) for the given input values, we need to follow the conditions specified for each interval.

Given the step function:

g(x) =

-4, x < -1

-1, -1 ≤ x < 2

3, 2 ≤ x < 4

5, x ≥ 4

Let's evaluate the step function for each input:

g(-2):

Since -2 is less than -1, the condition for the first interval is satisfied. Therefore, g(-2) = -4.

g(2):

Since 2 is less than or equal to 4, the condition for the second interval is satisfied.  Therefore, g(2) = 3.

g(5):

Since 5 is greater than or equal to 4, the condition for the last interval is satisfied. Therefore, g(5) = 5.

Hence, we have:

g(-2) = -4

g(2) = 3

g(5) = 5

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If Tamair has $100 & gives $40 to her best friend Tsion, but Tsion gives $20 to Tamair, how much money does Tamair have left?

A) 90
B) 80
C) Tamair is broke
D) Tsion is broke

Answers

Answer:

B) 80

Step-by-step explanation:

Thats my bestie so dont mess with her or its gonna be a problem

What is the discriminate?

Answers

so it’s basically asking for the difference
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