What is the distance between (2, 3) and (-2, 7)? Round to the nearest tenth, if necessary.

Answers

Answer 1

Answer:

[tex]\displaystyle d = 5.7[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (2, 3)

Point (-2, 7)

Step 2: Identify

(2, 3) → x₁ = 2, y₁ = 3

(-2, 7) → x₂ = -2, y₂ = 7

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-2-2)^2+(7-3)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract:                                               [tex]\displaystyle d = \sqrt{(-4)^2+(4)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                   [tex]\displaystyle d = \sqrt{16+16}[/tex][Distance] [√Radical] Add:                                                                             [tex]\displaystyle d = \sqrt{32}[/tex][Distance] [√Radical] Simplify:                                                                       [tex]\displaystyle d = 4\sqrt{2}[/tex][Distance] Evaluate:                                                                                        [tex]\displaystyle d = 5.65685[/tex][Distance] Round:                                                                                            [tex]\displaystyle d = 5.7[/tex]

Related Questions

I NEED HELP WITH THIS FAST

Answers

Answer:

1a) 24,750

1b) 1.868

2a) 6870

2b) 15,371

3a) 1410

3b) 25,400

4a) 9709

4b) 1596

5a) 0.272

5b) 0.080

6a) 19,943

6b) 1.779

7a) 1.340

7b) 2986

8a) 5.618

8b) 22,252

9a) 18.873

9b) 0.37

10a) 14.981

10b) 2400

Which graphs best describes the function y = 4x

Answers

Answer:

J

Step-by-step explanation:

check by multiplying each x value by 4

Answer:

D (J)

Step-by-step explanation:

y=4x is basically multiplying the x value by 4; 10*4 is 40, 20*4 is 80, and so on.

Barton has 4 strawberries and Ona has 8. If they want to redistribute their strawberries so they each have an equal number, how many strawberries should Ona give to Barton? There are a total of strawberries. There are a total of people. The expression to find the mean, or balance point, is . should give 2 strawberries to for the number of strawberries to be balanced.

Answers

Answer:

2 strawberries

Step-by-step explanation:

Given that:

Number of strawberries :

Ona has 8

Barton has 4

For both Ona and Barton to have the same Nunber of strawberries :

(Ona + Barton) /2 = (8 + 4) / 2 = 12 /2 = 6

That means both Ona and Barton will have 6 strawberries each

Hence,

Barton who has 4 strawberries needs 2 more while Ona who has 8 will give out 2

Hence, Ona should give two strawberries to Barton.

Answer:

total strawberries 12

total 2 people

expression to find the mean 12/2

ona should give barton 2 strawberries so the number balance's out

Step-by-step explanation:

ywww trust me

which fraction is equvalient to 2*10

Answers

1/5 or 4/20 for sure


Write the equation of a line in slope-intercept form with a slope of 32 and a y-intercept of −3 .

Answers

Answer:

y = 32x + (-3)

Step-by-step explanation:

y = mx + b

b= y-intercept

m = slope

just fill in the blanks and your done!!

Can someone please answer this question for me ?

Answers

Answer:

Yes I agree with Andre's example. I agree with Andre's example because ants have 6 legs so you would write L= 1/6 x a.

Step-by-step explanation:

Hope this helps :)))

someone pls help me with this
ITS SO CONFUSINGNSKDN

Answers

Answer:

y=67.7 Degrees

Step-by-step explanation:

You're given the opposite and adjacent sides to angle Y, so we use Tan to find the angle:

Tan(y)= 100/41

We then inverse tan to isolate y

y=tan^-1 100/41

y=67.7 Degrees

Note: Use a calculate to find the final answer

1. Circle ALL of the relations that represent functions.

Answers

only the first one is a function
functions can’t have more than one of the same x value

Answer:

The very first one is the only function.

Step-by-step explanation:

The first one is the only function because the input (or x) only has one output (or y)

The sum of two numbers is 48.if the smaller number is subtracted from the larger the difference is 12 find the number

Answers

Answer:

18

Step-by-step explanation:

30 + 18 = 48

30 - 18 = 12

Both true, so our solution is correct.

The value of the larger number is 30 and the value of the smaller number is 18.

What is a number system?

A numeral system is a writing system for expressing numbers; that is, a mathematical notation for representing numbers of a given set in a consistent manner using digits or other symbols. In different numeral systems, the same sequence of symbols can represent different numbers.

Given that the sum of two numbers is 48. if the smaller number is subtracted from the larger the difference is 12. The two numbers will be calculated as,

x + y = 48

x - y = 12

________

2x = 60

x = 30

y = 30 - 12

y = 18

Therefore, the value of the larger number is 30 and the value of the smaller number is 18.

To know more about the number system follow

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I need help!

How do you know if an equation is exponential growth or exponential decay or not an exponential equation? For example, what is y=2(0.5)^-the exponent is x

Answers

Answer:

If a is positive and b is greater than 1 , then it is exponential growth. If a is positive and b is less than 1 but greater than 0 , then it is exponential decay

Step-by-step explanation:

small baby answer

A fair coin should land showing tails with a relative frequency of 50% in a long series of flips. Felicia read

that spinning-rather than flipping-a US penny on a flat surface is not fair, and that spinning a penny

makes it more likely to land showing tails. She spun her own penny 100 times to test this, and the penny

landed showing tails in 60% of the spins.

Let p represent the proportion of spins that this penny would land showing tails.

Answers

Complete question is;

A fair coin should land showing tails with a relative frequency of 50% in a long series of flips. Felicia read

that spinning-rather than flipping-a US penny on a flat surface is not fair, and that spinning a penny

makes it more likely to land showing tails. She spun her own penny 100 times to test this, and the penny

landed showing tails in 60% of the spins.

Let p represent the proportion of spins that this penny would land showing tails.

What are appropriate hypotheses for Connor's significance test?

A. H_0 : p = 50% H_1 : p > 60%

B. H_0: p = 50% H_1: p > 50%

C. H_0: p = 50% H_1: p < 50%

D. H_0 : p = 60% H_1 : p < 60%

Answer:

Option B is correct

Step-by-step explanation:

From the question it is clear that;

The population proportion is 50% because it is not associated with any sample size.

However, the sample size is 100 and the sample proportion from this 100 is 60%.

But we don't define our hypothesis based on the sample proportion.

Now we want to find the probability that spinning a penny makes it more likely to land showing tails.

Thus we define the hypothesis as;

Null hypothesis; H0 : p=50%

Alternative hypothesis; H1 : p>50%

I need help pleaseeee

Answers

Answer:

Option A

Step-by-step explanation:

Thisbis because when two of them are hanged on the same side it means that it's addition. (Addition of weight)

Yea A is the correct answer

y = x + 2
y = 3x - 2
O A. (2, 4)
B. (4,2)
C. (0,2)
D. (0,-2)

Answers

Answer:

A

Step-by-step explanation:

I NEED HELP ASAP!!!!!

please help out;

What is the surface area of this triangular prism?

Answers

Answer:

Step-by-step explanation:

14x3x2=84

(12x10x2)/2=12x10=120

120+84=204

Answer:

SA=724 mm^2

Step-by-step explanation:

14*13==182,*2=364

14*10=140

10*12=120, *1/2=60, *2=120

364+140+120=724

SA=724 mm^2

Which function rule for points would create the translation shown above?
(x, y) + (x+4, y+3)
(x, y) + (x-4, y-3)
(x, y) + (x+10, y+7)
(x, y) + (x-10, y-7)

Answers

Answer:

Option A

Step-by-step explanation:

Coordinates of the given points A and A',

A → (-6, -2)

A' → (-2, 1)

Rule for the translation of point A to A',

A(-6, -2) → A'(-6+h, -2+k)

Since, coordinates of A' are (-2, 1)

Therefore, -6 + h = -2

                  h = 6 - 2 = 4

And (-2 + k) = 1

        k = 3

Therefore, rule for the translation will be,

(x, y) → (x + 4, y + 3)

Option A will be the answer.

Lisa is 4 years older than Thomas. Carla is twice as old as Lisa. The sum
of their ages is 56. How old is Lisa?

Answers

Answer:

Lisa is 24.

Step-by-step explanation:

56/2=28

28-4-thomas=24-lisa \

Carla is 28, Thomas is 20, and Lisa is 24. Hope this helps! :)

What is [tex]5x(3+2y)-4x+7y[/tex] No calculators and show your work so I actually understand

Answers

Answer:

ez, multiply out the first part, to become [tex]15x+10y[/tex][tex]-4x+7y[/tex] and now simplify and add up similar terms to get [tex]11x+17y[/tex] :)

Step-by-step explanation:

What is the Greatest Common Denominator or factor between 244 & 48

Answers

Answer:

GCF = 4.

Step-by-step explanation:

Find the prime factors:

48 = 2*2*2*2*3

244 = 2*2*61

The greatest common factor, the GCF) (picking out the common values) =

2 *2 = 4.

A really clever way of finding the GCF of 2 numbers is Euclid's algorithm. It can be used for very large numbers where it would be time consuming and/or rather difficult to find prime factors:

Given two whole numbers where a is greater than b, do the division a ÷ b = c with remainder R.

Replace a with b, replace b with R and repeat the division.

Repeat step 2 until R=0.

When R=0, the divisor, b, in the last equation is the greatest common factor.

So applying this to our problem:

244 / 48 = 5 remainder 4

Replacing a (244) with 48 and b (48) with R (4):-

48/4 = 12 remainder 0.

So the GCF is 4.

Which set of ordered pairs is a linear function? A {(3, 1), (2, 0), (-1, 1)} B {(4, 4), (0, -6), (2, -1)} C {(-1, 2), (3, -4), (12, 5)} D {(0, 0), (1, 1), (2, 5)}

Answers

C.

You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function.

---

hope it helps

Answer:

B I would think (tell em if I'm wrong-)

Step-by-step explanation:

Bill's favorite breakfast cereal is available in four different sizes. Which is the best buy?
15-ounce box for $4,20
B 10-ounce box for $3.10
© 22-ounce box for $5.72
18-ounce box for $4.50

Answers

Answer:

The best deal is the 18 ounce box

Answer:

the 18 ounce box is cheapest per ounce

Step-by-step explanation:

1. .28per ounce

2. .31per ounce

3. . 26per ounce

4. .25per ounce

The total length of a road trip was 16.8 hours. If highway signs are posted every 0.06 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?

Answers

There are 220 highway signs

The total length of a road trip was 17.6 hours.Highway signs are posted every 0.08 hours.To find: Number of highway signs.The number of highway signs is found.17.6/0.08 =220.Thus there are 220 highway signs

Answer:

The answer is 280.

Step-by-step explanation:

Match the equation with the correct graph

Answers

I will give you your answer just give me the equation cause you didn’t write it

P varies inversely with x. If P = 7 when x = 8, find the value of P when x = 7. A. 0.125 B. 1 C. 7 D. 8​

Answers

Step-by-step explanation:

P = 8

Step-by-step explanation:

Given that P varies inversely with x then the equation relating them is

P = \frac{k}{x} ← k is the constant of variation

To find k use the condition P = 7 when x = 8 , then

7 = \frac{k}{8} ( multiply both sides by 8 )

56 = k

P = \frac{56}{x} ← equation of variation

When x = 7 , then

P = \frac{56}{7} = 8

PLEASE HELP YA GIRL OUT ILL GIVE U BRAINLIST

Answers

I don’t know but you should give me brainlist because it sounds cool

Answer:

12.75feet (12¾)

Step-by-step explanation:

7t+1+5t+8=162feet

12t+9=162feet

12t=162-9

=153

t = 153÷9

=12.75feet (12¾feet)

Make A the subject of the formula
r = squareroot A/3

Answers

Answer:

3 x [tex]r^{2}[/tex]

Step-by-step explanation:

A Triangle Has A Base of X 1/2m and a height of X 3/4m. If the area of the triangle is 16m^2, what are the bade and height of the triangle

Answers

Answer:

B

Step-by-step explanation:

If cost price =x
If selling price =242
If profit =z
If profit percent =10%
Find the value of z and x​

Answers

x = 220
z = 22


Explanation:

SP = selling price
CP = cost price

Profit % = (SP - CP) / CP x 100%

10% = (242 - x) / x • 100%

10/100 = (242 - x)/x • 100/100

1/10 = (242 - x)/x • 1

1/10 • x = 242 - x

x/10 = 242 - x

x/10 • 10 = (242 - x) • 10

x = 2420 - 10x

x + 10x = 2420

11x = 2420

x = 2420/11

x = 220





Profit = SP - CP

z = 242 - x

z = 242 - 220

z = 22

Answer:

x= 217,6z=24,2

Step-by-step explanation:

Troy drew the diagram below. The inner circle has a radius of 2 units, and the outer circle has a radius of 5 units. Troy says the two circles are similar.
Which statement best explains whether Troy is correct, and why?
He is correct because the inner circle is a dilation of the outer circle.
O
He is correct because the inner circle has the same center as the outer circle.
O
He is not correct because the inner circle's radius is less than the outer circle's radius.
He is not correct because the inner circle's radius is not half of the outer circle's radius.
o

Answers

Answer:A he is correct because the inner circle is a dilation of the outer circle

Step-by-step explanation: just did the test

The statement "He is correct because the inner circle is a dilation of the outer circle" is the best explanation.

What is dilation?

Dilation is the process of modifying the size of an item or form by reducing or expanding its dimensions according to specific scaling variables.

The radius of the inner circle is 2 units, while the radius of the outer circle is 5 units.

Since dilations provide similar figures because multiplying by the scale factor yields proportionate sides while keeping the angle measure and form constant.

Troy is accurate if he claims the two circles are similar.

Hence, the statement (A) "He is correct because the inner circle is a dilation of the outer circle" is the best explanation.

Learn more about the Dilation here:

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A baker charges $30 for each batch of cupcakes she makes. She adds $0.09 for each frosting flower. Write an expression to represent the total cost of a batch of cupcakes with frosting flowers. Operation Clues→ Variable→ Define a variable→ Expression→

Answers

Answer:

[tex]30+0.09x[/tex]

Here, [tex]x[/tex] denotes number of frosting flowers

Step-by-step explanation:

Let [tex]x[/tex] denotes number of frosting flowers.

Amount charged by baker for each batch of cupcakes = $30

Amount charged for each frosting flower = $0.09

So,

Amount charged for [tex]x[/tex] frosting flowers = [tex]\$0.09x[/tex]

Therefore,

Total cost of a batch of cupcakes with frosting flowers = [tex]30+0.09x[/tex]

Help please
I need the correct answer to this pic
I will mark you brainliest for this correct answer

Answers

Answer:

the answer is B hope this helps you out

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