the distance between the points (-1,3) and (2,-1) is?

Answers

Answer 1

Answer:

It is 5.83 units

Step-by-step explanation:

[tex]{ \bf{length = \sqrt{ {(x_{1} - x _{2} ) }^{2} + {(y _{1} - y_{2})}^{2} } }}[/tex]

x1 is -1

x2 is 2

y1 is 3

y2 is -1

[tex] = \sqrt{ {( - 1 - 2)}^{2} + { \{3 - ( - 2) \}}^{2} } \\ \\ = \sqrt{9 + 25} \\ = \sqrt{34} [/tex]


Related Questions

blake and josh are both saving money for a new bike. the ratio of blake,s saving to josh saving is 3:1 if they have saved 400$, how much has each boy saved

Answers

Answer:

200 each.

Step-by-step explanation:

400 divided by 2 is 200

please help me with this math is for my math homework​

Answers

Answer:

that answer is (1)

hope that helps you

9514 1404 393

Answer:

  1

Step-by-step explanation:

You can put either number in the form of the other to see they are equal. A number divided by itself gives a quotient of 1.

  -1 1/10 = -(10·1 +1)/10 = -11/10 . . . . . matches the denominator

or

  -11/10 = -1 1/10 . . . . . matches the numerator

__

  (-11/10)/(-11/10) = 1 . . . . your quotient

_____

Additional comment

Here, we see that both numbers in the problem are negative, so we have an even number of minus signs. That means the quotient will be positive. Knowing this lets us eliminate the minus signs from the problem.

As you may know, there are a couple of (fully equivalent) ways to divide fractions.

1) "invert and multiply" or "dot swap"

  (11/10) ÷ (11/10) = (11/10) · (10/11) . . . . . . . the denominator has been inverted

  = (11·10)/(10·11) = 110/110 = 1

2) use the numerators when the denominators are equal.

  (11/10) / (11/10) = 11/11 = 1 . . . . denominators of the fractions are both 10

93,487,991 to the nearest hundred thousand

Answers

Answer:

93,500,000

Step-by-step explanation:

Rounding rule:

1) If the digit directly next to the one you are finding is 5 or greater, round up.

2) If the digit is 4 or less, round down.

Note the hundred thousands place value (underlined and bolded):

93,487,991

Look at the digit value directly next to the place value you are looking for. The value of the digit is 8. Because 8 is greater then 5, round up:

93,487,991 rounded to the nearest hundred thousand is 93,500,000.

~

3a+2b=17, b = 4a -30

Answers

Answer:

3a+2b=17

soln

3a+2b=17

3a+2b-2b=17-2b

3a=17-2b

3a/3=17/3-2b/3

a=17-2b/3

Hope it helps !!!!!!!

how can i solve this equation

Answers

Answer:

D. -1.44 and 2.44

Step-by-step explanation:

[tex]f(x) = 2 {ax}^{2} + (3 - b)x + 7[/tex]

is equal to:

[tex]g(x) = (a - 1) {x}^{2} + 2bx + 7[/tex]

•◇•◇○◇•◇•

➡️ [tex] - 2 {x}^{2} + 2x + 7 = 0[/tex]

➡️ [tex]Δ = {b}^{2} - 4ac = 4 - 4 \times 7 \times ( - 2) = 60 = \sqrt{Δ} = 7.746[/tex]

➡️ [tex]x = \frac{ - b± \sqrt{Δ} }{2a} = \frac{ - 2± 7.746}{ - Δ} [/tex]

➡️ [tex] x_{1} = \frac{ - 2 + 7.746}{ - 4} = - 1.44[/tex]

➡️ [tex] x_{2} = \frac{ - 2 - 7.746}{ - 4} = 2.44[/tex]

To mail a package, a customer must determine the volume of the package to get the postage price. If a
package were a cube with side 12 inches, which of the following expressions would a customer use to
determine the volume? (The volume of a cube with edges of length s is s^3.)
12x3
12x4
12^3
square root of 12

Answers

Answer:

12^3

Step-by-step explanation:

The volume of a cube is the length of it's size raised to the power 3, so if the length is 12, the volume will be 12³ or 12^3

Fill in the blanks in the following sentence from the choices below describing the Real number system. 1 The _____ numbers, are fully contained in the _____ numbers, which are fully contained in the _____ numbers which are fully contained in the _____ numbers.

Choose from the words:
Integer, Irrational, Natural, Rational or Whole.

Answers

Answer:

1. Natural

2. Whole

3. Integer

4. Rational

The correct answer would be as: The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

What are Natural Numbers?

Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

For example 1, 2, 3, 4, 5, 6, and so on.

What are Integers?

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.

The Real number system. 1 The "Natural" numbers are fully contained in the "Whole" numbers, which are fully contained in the" Integer "numbers which are fully contained in the "Rational "numbers.

Learn more about the Integers here :

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Dad is getting food ready for my birthday party! Including me, there will be 16 people at the party. Dad is baking cookies for us! He can bake 20 cookies per batch.

How many batches should I tell Dad to make so we can each have 3 cookies?

Answers

the answer is 3 batches, turn it into a decimal if you need too.

Answer:

3 batches but you will have some left over

Step-by-step explanation:

Find the distance between (-3,-11) and (8,-42)

Answers

Answer:

√2930

Step-by-step explanation:

The distance formula is

√((difference between x values)² + (difference between y values)²)

= √((-3 - 8)² + (-11 - (-42))²)

= √((-11)² + (31)²)

= √1082

2
614
eft
3.
9m
Please help

Answers

2.

[tex] area=\frac{1}{2} \times 6 \times 8 \\ = 24 [/tex]

3.

[tex]area = \pi \times 9m \\ = 3.14 \times 9 \\ = 28.26 {m}^{2} [/tex]

what is the value of x when the distance between the points (-2,-3) (-3,x) is equal to 5​

Answers

Answer:

(-3,-4)

Step-by-step explanation:

The typing speeds for the students in a typing class is normally distributed with mean 44 words per minute and standard deviation 6 words per minute. What is the probability that a randomly selected student has a typing speed of less than 38 words per minute

Answers

Answer:

15.87%

Step-by-step explanation:

*Probability-Below 15.87%

Z1=-1

*x-1 38

*µ 44

*σ 6

The probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

What is z-score?

The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.

Formula for z-score

z = (x -μ)/σ

Where,

Z is standard score.

x is observed value.

μ is mean of the sample.

σ is standard deviation of the sample.

What is probability?

The area under the normal distribution curve represents probability.

According to the given question.

Mean, μ = 44

Standard deviation, σ = 6

Observed value, x = 38

Therefore, z-score = [tex]\frac{38-44}{6}= -1[/tex]

So, the are P(z > -1) = 15.87%

Hence, the probability that a randomly selected student has a typing speed of less than 38 words per minute is 15.87%.

Find out more information about z-score and probability here:

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solve for x -7=2x+3 simplify the equation as much as possible

Answers

hi <3

2x + 3 = -7

subtract 3 from both sides:

2x = -10

divide both sides by 2:

x = -5

hope this helps :)

Please help ill mark brainliest dont forget explanation too please

Answers

You can set point c as the y axis since there appears to be none in this image. Then after reflecting it across the y axis or point c you’re going to have to translate it 3 units to the right and 2 units down.

Marco surveyed the first 10 people
who arrived at the pool. He asked
them what they thought was the
best time to close the pool.

Answers

Yes they must close the pool 7 pm

The best time to close the pool is the evening from 4 to 7 pm.

This is called the taking of average among all possible samples.

What is problem-solving?

Problem-solving is the act of defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.

Problem-solving starts with identifying the issue. As an example, a trainer may need to parent out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.

This can also be solved using mean, mode or median is data is given.

Learn more about mean here:-https://brainly.com/question/1136789

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the perimeter of a triangle is 14x - 4. if two sides measure 3x - 2 and 5x + 3, then how long is the third side?

Answers

Answer:

6x-5

Step-by-step explanation:

14x-4- (3x-2)-(5x+3)= 14x-4-3x+2-5x-3= 6x-5

if U = {1,2,3,10},A={2,4,6,8,10}and B={3,6,9}
,find AUB​

Answers

Answer:

AUB = {2,3,4,6,8,9,10,12}

These are AP statistics multiple choice questions. I don’t know if I got them correct but can double you check for me?

Answers

Answer:

first question

mean = 5.11

median = 6

mean = sum of the terms

number of terms

= 271

53

= 5.11

median is the 27th (arrange lowest to highest number)

conclusion, the median is higher than mean, the answer is B.

sec question

a is the answer

third question

a is the answer

last question

mean = 60838

median = 60000

the answer is B

How many solutions does this equation have?

–3h = 1 − 3h

Answers

None.

-3h cannot equal -3h + 1.

No matter what you pick for h, the two sides will always be 1 unit apart.

NCERT Portion, grade 8, Lesson 1. Rational numbers

Answers

Answer:

[tex]-\frac{43}{70}[/tex]

Step-by-step explanation:

One is given the following equation,

[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

Simplify, use the order of operations. The order of operations is a sequence by which one must simplify an equation. This sequence is the following,

1. Parehtensis

2. Exponents

3. Mutliplcaiton or Division

4. Addition or subtraction

Simplify the given expression. Remember, when multiplying fractions, one must cancel out like terms or factors that can be found in both the numerator and denominator,

[tex]\frac{2}{3}*\frac{-3}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{3}{7}*\frac{3}{5}[/tex]

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]

Convert to the least common denominator. In this case, the least common denominator is (70). Remember to multiply both the numerator (number over the fraction bar) and denominator (number beneath the fraction bar) to convert the denominator.

[tex]\frac{-2}{7}-\frac{1}{14}-\frac{9}{35}[/tex]

[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]

Simplify,

[tex]\frac{-2}{7}*\frac{10}{10}-\frac{1}{14}*\frac{5}{5}-\frac{9}{35}*\frac{2}{2}[/tex]

[tex]\frac{-20}{70}-\frac{5}{70}-\frac{18}{70}[/tex]

[tex]-\frac{25}{70}-\frac{18}{70}[/tex]

[tex]-\frac{43}{70}[/tex]

XY=32, YZ=7d, and XZ=74

Answers

The value of d = 6 and the value of YZ = 42

Since XY=32, YZ=7d, and XZ=74

Based on this question, it should be noted that the addition of XY and YZ will equal to the value of XZ. Therefore,

XY + YZ = XZ

32 + 7d = 74

Collect like terms

7d = 74 - 32

7d = 42

Divide through by 7

7d/7 = 42/7

d = 6

Since d is 6, the value of YZ will be:

= 7d = 7 × 6 = 42

In conclusion, the value of d = 6 and the value of YZ = 42.

Read related link on:

https://brainly.com/question/24475076

please help me for this question....​

Answers

Answer:

the answer is 3. but the workings are so long

Write a proof. Given x - 2 = 3(x - 4) Prove x = 5

Answers

x=5

Step-by-step explanation:

x-2=3(x-4)

x-2=3x-12

12-2=3x-x

10=2x

x=10/2

x=5

Answer:

x = 5

Step-by-step explanation:

x - 2 = 3(x - 4)

x - 2 = 3x - 12

-2x - 2 = -12

-2x = -10

x = 5

Can anyone solve numbers 60 through 65?

Answers

Answer:

[tex]4a + 9a \\ \\ = (4 + 9).a \\ \\ = 13a \\ \\ 9y + 3y - 5x \\ \\ (9y + 3y) - 5x \\ \\ (9 + 3).y - 5x \\ \\ 12y - 5x[/tex]

2/5 (z+ 1) = y for z

Answers

Answer:

z = 5y/2 - 1

Step-by-step explanation:

Solve for  z

by simplifying both sides of the equation, then isolating the variable.

Read the image below ​

Answers

Natural numbers: 1, 2, 3, 4, ….
Whole numbers: 0, 1, 2, 3, 4, …. (All Naturals, plus 0)
Integers: 0, 1, -1, 2, -2, 3, -3, …. (All Whole numbers, plus their opposites)
Rational numbers: anything that’s a fraction or integers, as long as the denominator isn’t 0. (All integers, plus all other fractions)

J captures this correctly. Rational numbers include all the other groups, Integers include whole and natural numbers, and whole numbers include natural numbers.

what is x when the tangent of 25 equals x over 11?

Answers

Answer:

x  =  5.12938423

Step-by-step explanation:

Solve for  x   by simplifying both sides of the equation, then isolating the variable.

friends??
disc; misti.#7628
tt; mistis.wishes

Answers

Wait I’m confused !!!!!!

what does X equal? giving 50 points

Answers

X= 6/11

Square both sides

Line R is represented by the equation `y=-2x+7`and Line Z is represented by the equation `y=3x-3`. At what point will line R and line Z intersect?

Answers

Answer: (2,3)

Steps:
-2x+7=3x-3
7+3=3x+2x
10=5x
X=2

Y= 3x-3
Y= 3*2 - 3
y= 6-3
Y= 3
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