Find the distance between the points A(13, 2) and B(7, 10). The distance between the two points is

Answers

Answer 1

Answer:

The answer is 10 units

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question , the points are

A(13, 2) and B(7, 10)

The distance between them is

[tex] |AB| = \sqrt{( {13 - 7})^{2} + ({2 - 10})^{2} } \\ = \sqrt{ {6}^{2} + ( { - 8})^{2} } \\ = \sqrt{36 + 64} \\ = \sqrt{100} [/tex]

We have the final answer as

10 units

Hope this helps you


Related Questions

If you vertically compress the linear perent function, F(x) = x, by multiplying by 1\2

what is the equation of the new function?

Answers

Answer: [tex]y=\dfrac12 x[/tex] .

Step-by-step explanation:

We know that [tex]a f (x)[/tex]  compresses f(x) vertically such that

if 0 < a < 1 (a fraction), the graph is compressed vertically by a factor of a units.if a > 1, the graph is stretched vertically by a factor of a units.

If we vertically compress the linear parent function, F(x) = x, by multiplying by [tex]\dfrac12[/tex].

Then, the equation of the new function is [tex]y=\dfrac12 F(x)=\dfrac12 x[/tex] .

i.e. [tex]y=\dfrac12 x[/tex] .

Alexander bought a box of crackers at the store. He ate half of the crackers in the box on Monday, and he ate 1/2 of what was left on Tuesday. On Wednesday, he ate 1/3 of what was left after he was finished eating the crackers on Tuesday.
1) What fractional part of the total crackers originally in the box did Alexander
eat on Wednesday?
2) what fractional part of the total crackers originally in the box are left. 3) if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened. (Please help!)

Answers

Answer:

1. 1/12x

2.1/6x

3. 18

Step-by-step explanation:

Let

x=number of crackers in the box

On Monday, Alexander are 1/2 of the crackers

1/2 of x

=1/2x

Remaining

x-1/2x=2x-1/2

=1/2x

Tuesday=1/2 of what was left

=1/2 of 1/2x

=1/2×1/2x

=1/4x

Remaining

1/2x-1/4x

=2x-x/4

=1/4x

Wednesday=1/3 of what was left

=1/3 of 1/4x

=1/12x

Remaining

1/4x-1/12x

=3x-x/12

=2/12x

=1/6x

1. What fractional part of the total crackers originally in the box did Alexander eat on Wednesday?

1/12x

2. what fractional part of the total crackers originally in the box are left.

1/6x

3. if there are 4 crackers left in the box after Alexander finished eating crackers on wensday, how many crackers were in the box before it was opened.

1/6x=3

Divide both sides by 1/6

1/6x ÷ 1/6 = 3 ÷ 1/6

x=3÷1/6

=3 × 6/1

=18

x=18

Answer:

1) 1/12

2) 1/6

3) 18

Step-by-step explanation:

What is the equation of this line?

Answers

Answer:

this is your test right pls study and answer

1. The mayor of the city of Cleveland wants to increase taxes in order to invest in a light-rail transit system. She hires a polling agency to randomly
select 750 registered voters in the city to survey in order to determine the maximum percentage increase in municipal taxes that they would
approve. What is the population in this survey and the population parameter?
All American citizens and the maximum percentage increase in taxes
750 registered voters in Cleveland and the average light-rail transit cost per mile
O All registered voters in Cleveland and the maximum percentage increase in taxes
O Citizens over 65 years of age in Cleveland and the 750 registered voters

Answers

Answer:

All registered voters in Cleveland and the maximum percentage increase in taxes

You can buy 5 stickers for $3. Write a proportion that gives the
cost c if you buy 12 stickers.

Answers

Answer:

$7.5

Step-by-step explanation:

Let

Quantity of stickers=x

Price of stickers=y

5 stickers cost $3

12 stickers cost $y

x/y = x/y

5/3 = 12/y

Cross product

5y=12*3

5y=36

Divide both sides by 5

5y/5 = 36/5

y=7.5

12 stickers= $7.5

Therefore, the price of 12 stickers= $7.5

The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). What is the valid UPC? *)
A) 3-25866-53590-5
B) 3-25866-53590-0
C) 1-25866-53590-0
D) 5-35900-32586-6​

Answers

The manufacturer ID number for Bayer Healthcare is (325866) and the item number for a bottle of Aleve Liquid Gels is (53590). then valid UPC would be option B) 3-25866-53590-0 by checking the check digit.

It is known that a UPC is made up of 6 to 9 digits from the left that is the manufacturer id number and 5 digits from the right before the last digit is the product id number.

the last digit is used to check the integrity of the UPC and is known as a check digit.A specific algorithm based on the odd and even number of the previous 11 digits determines the last number, which is used to confirm the validity or integrity of the UPC.

A UPC can be validated with a manual calculation:

Given :

UPC = 3-25866-53590-5/0

=> Step 1: Add the digits at odd positions.

3 + 5 + 6 +5 + 5 + 0 = 24

=> Step 2: Multiply the number obtained in steps 1 by 3.

24*3 = 72

=> Step 3: The digits at even positions have to be added except check digit

2 + 8 + 6 +3 +9 = 28

=> Step 4: Add the numbers obtained in Step 2 and step 3.

72+ 28 = 100

=> Step 5: The number obtained in step 4 is subtracted from the next multiple of 10.

Here 100 will be subtracted from 110.

110 - 100 = 10

the last digit will be 0,

Thus, the correct option is B. 3-25866-53590-0.

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A chef mix his salt and pepper. If he put 2/3 cup of salt and 1/2 cup of pepper in his shaker, what is the ratio of salt to pepper ?

Answers

Answer:

4 to 3

Step-by-step explanation:

The ratio of salt to pepper is

2/3 to 1/2

Multiply both fractions by 6

6 * 2/3 to 6 * 1/2

4 to 3

Is {3,…} a defined set

Answers

Answer:

I am odd number my digits add up to 7 i am bigger than 50 and smaller 100

3x + 4y = 14 x = 2y - 12 Which point satisfies both equations? A) (-2,-2) B) (-2,5) C) (-4,4) D) (2,2)

Answers

Answer:

  B)  (-2, 5)

Step-by-step explanation:

Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.

Trying the points

  A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14

  B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true

  C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14

  D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2

__

Choice B ( -2, 5) is the only point that works in both equations.

Answer:

x = -2

y = 5

then:

B) (-2,5)

Step-by-step explanation:

3x + 4y = 14

x = 2y - 12

from te firs equation:

3x = 14 - 4y

x = (14-4y)/3

then:

2y - 12 = (14-4y)/3

3(2y-12) = 14 - 4y

3*2y + 3*-12 = 14 - 4y

6y - 36 = -4y + 14

6y + 4y = 14 + 36

10y = 50

y = 50/10

y = 5

from the second equation:

x = 2y - 12

x = 2*5 - 12

x = 10 - 12

x = -2

Check:

from the first equatión:

3x + 4y = 14

3*-2 + 4*5 = 14

-6 + 20 = 14

QUICK IT IS FOR, NOW!!! I WILL GIVE BRAINLIESTS AND 10 POINTS
When p2 – 4p is subtracted from p2 + p – 6, the result is: -3p-6, 5p-6 or 4p+6. To get p – 9, subtract: 4p+3, 4p-15 or 4p+12 from this result.

Answers

Step-by-step explanation:

p² - 4p is subtracted from p² + p - 6 is written as

p² + p - 6 - (p² - 4p)

Remove the bracket and simplify

That's

p² + p - 6 - p² + 4p

p² - p² + 4p + p - 6

We have the answer as

5p - 6

Let the unknown expression be x

Subtract x from the expression to get p - 9

That's

5p - 6 - x = p - 9

x = 5p - p - 6 + 9

x = 4p + 3

The expression is

4p + 3

Hope this helps you

Need help pleases 5 stars

Answers

Answer:

The third option is the correct answer

Step-by-step explanation:

I am a 100% sure.

Hope this helps....

Have a nice day!!!!

Determine if the ordered pair (6, 4) is a solution to the inequality

Answers

Answer:

[tex]\Large \boxed{\mathrm{Option \ D}}[/tex]

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

Anybody good in pre Calculus and know how to do #3 or #4?

Answers

Answer:

3. 0

4. n = -2

Step-by-step explanation:

I haven't taken pre-calc but this looks a lot like algebra.

For #3, just plug in -2 for the x values, so:

x^2 + 4x +4

(-2)^2 + 4(-2) + 4

= 4 - 8 + 4

= 0

For #4, move the variables to one side and solve( im not sure what the pi is for tho, or is that a n?):

5n + 6 = -3n - 10

add 3n to both sides

8n + 6 = -10

subtract 6 from both sides

8n = -16

divide both sides by 8

n = -2

A. (-2,-1)
B. (-1,-2)
C. (1.-2)
D. (2,-1)

Answers

Answer:

D. 2,-1

Step-by-step explanation:

When a line is reflected by y=x, the x and y switch.

Can you help me please.

Answers

Answer:

option 2.

Step-by-step explanation:

You use the y-intercept form: y=mx+b

mx=slope, and b=y-intercept.

Looking at this graph, you can see that the slope is -2/3 (rise over run), and the line is negative, so the slope becomes negative.

So now, we can see the only option having the slop -2/3x is option 2.

Write an expression for two times the difference of eight and d.

Answers

Answer:

The answer is

2( 8 - d)

Step-by-step explanation:

From the question difference in the statement means subtraction

So the statement

two times the difference of eight and d is written as

2( 8 - d)

Hope this helps you

Answer:

the answer is 2( 8 - d) I  got the same answer and got it right

Step-by-step explanation:

What are the solutions to the quadratic equation 4x2 = 64? A. x = −16 and x = 16 B.x = −8 and x = 8 C.x = −4 and x = 4 D.x = −2 and x = 2

Answers

Answer:

x = ±4

Step-by-step explanation:

4x^2 = 64

Divide each by 4

4x^2 /4= 64/4

x^2 = 16

Take the square root of each side

sqrt(x^2) = ±sqrt(16)

x = ±4

Answer:

[tex]\boxed{\boxed{x=\pm 4}}[/tex]

Step-by-step explanation:

[tex]4x^2 = 64[/tex]

Divide both sides by 4.

[tex](4x^2)/4 = 64/4[/tex]

Simplify.

[tex]x^2 =16[/tex]

Take the square root on both sides.

[tex]\sqrt{x^2 } =\pm \sqrt{16}[/tex]

Simplify.

[tex]x=\pm 4[/tex]

Solve the equation. 0.15 = y-0.45

Answers

Answer:

0.6

Step-by-step explanation:

0.6-0.45=0.15

The value of y from the given equation is 0.60.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 0.15=y-0.45.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Here, 0.15=y-0.45

y=0.15+0.45

y=0.60

Therefore, the value of y is 0.60.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ2

Can someone help me on this ASAP it’s very tricky

Answers

Well the two equations are in y=mx+b form, also known as slope-intercept form.

The slope for the first equation is 5/6. The slope for the second is -4/3. Its very simple. We say that x is 0 for example...

When X = 0...

First equation: Y=7

Second Equation: Y=-6

On the graph you plot (x,y) (0,7) on the graph. so on the Y axis, put a dot at 7. This is for the first equation. We can say x is 6 also, and then the answer is -1.

So the second point is (6,-1).

FIRST EQUATION ONLY: Plot (0,7), (6,-1)

For the second I wont be elaborate as much but its (0,-6), (3,-10)

Brainiest/Heart if helpful!

Answer:

(-6, 2)

Step-by-step explanation:

When you graph [tex]y=\frac{5}{6} x+7[/tex], you get the red line.

When you graph [tex]y=-\frac{4}{3} x-6[/tex], you get the blue line.

The answer is the point they intersect, or cross. That would be (-6, 2).

I hope this helps!

pls ❤ and mark brainliest pls!

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU K NOW THE ANSWER!!
The entire group of objects or individuals under consideration in a survey is the ________________.
A. population
B. establishment
C. corporation
D. entity

Answers

Answer:

A: population

Step-by-step explanation:

Um its just the definition of the word i think.

Population: a collection of persons, things, or objects under study.

9. PLEASE HELP ME
Which of the following are the coordinates of the vertex of y= 3x2 + 3?

A. (3, 0)

B. (–3, –3)

C. (3, 3)

D. (0, 3)

Answers

Answer:

C. (3, 3)

Step-by-step explanation:

The perimeter of a rectangle is 102 inches. The length is 5 inches greater than the width.

Answers

Answer:

w = 23

l = 28

Step-by-step explanation:

w = width

l = w+5

P = 2 (l+w)

102 = 2( w+5+w)

102 = 2(2w+5)

Divide each side by 2

51 = 2w+5

Subtract 5

46 = 2w

Divide by 2

23 = w

The width is 23 and the length is 23+5 = 28

Answer:

Length=28

Width=23

Step-by-step explanation:

All I did was basically trial and error, to be honest.

Solve : (i) 5x+3/4 - 2x-4/3 = 5 (ii) 3(x+5) - 2(3x-1) = 15

Answers

Answer:

(i) x = 67/4

(ii) x = 2/3

Step-by-step explanation:

(i)

5x + 3/4 - 2x - 4/3 = 5 add like terms

3x -7/12 = 5

3x = 5 + 7/12 ➡ 3x = 67/12 and x = 67/4

(ii)

3(x+5) - 2(3x-1) = 15 ➡ 3x + 15 - 6x + 2 = 15 add like terms

17 - 3x = 15

2 = 3x and x = 2/3

Before an algebraic fraction is selected as a final answer what should you always check?


That the power of the numerator is greater than the denominator.

That the coefficients of the denominator are greater than those in the numerator.

That the variables are all written in alphabetical order.

That the fractions are reduced with all common factors canceled.

Answers

Answer:

That the fractions are reduced with all common factors canceled.

Step-by-step explanation:

Hello,

Before an algebraic fraction is selected I should that the fractions are reduced with all common factors cancelled so that I got the irreducible fraction.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Someone please helppp

Answers

Answer:

Option B is the right answer.

Step-by-step explanation:

x ^2 -7x+12 = (x-4)(x-3)

so, if we put x=3 or 4 than it will be undefined. hope u understand.

What is the length of LM? (Question and answer choices provided in picture.)

Answers

Answer:

24√3

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

Step 1: Use cos∅

cos30° = LM/48

Step 2: Multiply both sides by 48

48cos30° = LM

Step 3: Evaluate

LM = 24√3

Answer:

[tex]\large \boxed{24 \sqrt{3} }[/tex]

Step-by-step explanation:

The triangles are right triangles. We can use trig functions to solve.

cos θ  = adj/hyp

Take the triangle KLM.

cos 30 = LM/KL

cos 30 = LM/48

Multipy both sides by 48

(48) cos 30 = LM/48 (48)

Simplify.

48 cos30 = LM

24√3 = LM

The Changs received a delivery of fuel oil totaling 35.00 gallons. The oil cost $3.05 per gallon. What did the Changs pay for the delivery

Answers

Answer:

$106.75

Step-by-step explanation:

Since the cost of a gallon of oil cost $3.05, we are going to have the equation y = 3.05x, where x represents the number of gallons of oil.

Since the Changs have 35 gallons of oil, the equation would be;

3.05(35) = 106.75

The Changs paid $106.75 for the delivery.

an obtuse angle is an angle which is _______

Answers

Answer:

an obtuse angle is an angle that is more than 90 degrees

Step-by-step explanation:

it is a polynomial or not write step in step​

Answers

Answer:

√(3x)-2y+7

here √(3x) means, √3×√x

√x = x^(1/2)

now, now the exponent is 1/2, which means it's not a polynomial

Please help correct answer gets brainliest.

Answers

Answer:

C. The charge of each minute of a call is $0.40

Step-by-step explanation:

We look at the point (1, 0.4)

We know that our x = 1 is 1 minute of the call.

We know that y = 0.4 is the cost when 1 minute of the call has elapsed.

Therefore, our answer is C.

Answer:

Step-by-step explanation:

The answer is (c)

The price goes up $0.40 every minute Greg is on a call.

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