Find the distance between the points (4,-8) and (7-10).

Answers

Answer 1

Answer:

[tex]\displaystyle d = \sqrt{13}[/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 (4, -8)

Point (7, -10)

Step 2: Find distance d

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

Substitute in points [DF]:                     [tex]\displaystyle d = \sqrt{(7-4)^2+(-10+8)^2}[/tex](Parenthesis) Subtract/Add:                [tex]\displaystyle d = \sqrt{(3)^2+(-2)^2}[/tex][√Radical] Exponents:                         [tex]\displaystyle d = \sqrt{9+4}[/tex][√Radical] Add:                                    [tex]\displaystyle d = \sqrt{13}[/tex]
Answer 2

Answer:

The distance between the points (4,-8) and (7-10)

[tex] = \sqrt{ {(7 - 4)}^{2} + {( - 10 - ( - 8))}^{2} } \\ = \sqrt{ {(7 - 4)}^{2} + {( - 10 + 8)}^{2} } \\ = \sqrt{ {3}^{2} + { (- 2)}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: units [/tex]

√13 is the right answer.

Related Questions

Write down two expressions for the
perimeter of this shape, one with
brackets and one without
[ + 7
P (with brackets)
P (without brackets) =​

Answers

Answer:

Perimeter with brackets is: [tex]\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}[/tex]

perimeter without brackets is:

[tex]\mathbf{Perimeter = 4t+28}[/tex]

Step-by-step explanation:

We need to write two expressions for the perimeter of given shape, one with brackets and one without.

Length of side of shape = t+7

The formula used to find perimeter is: [tex]Perimeter = Sum\: of\: all\: sides[/tex]

Since the shape has 4 sides, we get:

[tex]Perimeter = Sum\: of\: all\: sides\\Perimeter = (t+7)+(t+7)+(t+7)+(t+7)[/tex]

So, perimeter with brackets is: [tex]\mathbf{Perimeter = (t+7)+(t+7)+(t+7)+(t+7)}[/tex]

Now, finding perimeter without brackets:

[tex]Perimeter = (t+7)+(t+7)+(t+7)+(t+7)\\Perimeter = t+7+t+7+t+7+t+7\\Combining\:like\:terms:\\Perimeter=t+t+t+t+7+7+7+7\\Perimeter=4t+28[/tex]

So, perimeter without brackets is:

[tex]\mathbf{Perimeter = 4t+28}[/tex]


Colton made fancy purple costume decorations for each of the 5 dancers in his year-end
dance performance. He cut 1/2 of a yard of ribbon into equal pieces to make the decorations.
How long was each piece of ribbon?

Answers

0.1 or 1/10 yards

So we know that Colton cut 1⁄2 of a yard of ribbon into equal pieces to make the decorations so what we can do is take that 1⁄2 and divided by 5 because we know that there are 5 dancers at his year end dance performance.

1⁄2 in a decimal form is 0.5 so 0.5 divided by 5 equals 0.1 or 1/10.

the word at the end says equation​

Answers

Answer:

V=9

Step-by-step explanation:

9 times 3 equals 27 and that's how I got 9

Are the following lines are parallel, perpendicular,or neither

Answers

Answer:

perpendicular

Step-by-step explanation:

This question only asks about the slope of the line, so the intercept doesn't matter. You can see that the slope of one line is 3x and the other is -3x so they're perpendicular

Which equation represents a proportional relationship?

Answers

And which is the equation?

solve 9m – 4 = -3m + 5 + 12m

Answers

Answer:

There are no solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

9m−4=−3m+5+12m

Step 1: Simplify both sides of the equation.

9m−4=−3m+5+12m

9m+−4=−3m+5+12m

9m−4=(−3m+12m)+(5)(Combine Like Terms)

9m−4=9m+5

9m−4=9m+5

Step 2: Subtract 9m from both sides.

9m−4−9m=9m+5−9m

−4=5

Step 3: Add 4 to both sides.

−4+4=5+4

0=9

Answer:

Its no solution

Step-by-step explanation:

1)Combine like terms

2)Letters with numbers in one side and only Number on the other side

3)Solve

9m – 4 = -3m + 5 + 12m

    9m-4=9m+5

  9m-9m=4+5

            0=9

***Hope this Helps***

***Have a wonderful day***

give the slope of a line parallel to the given line.

Answers

Answer:

1/4

Step-by-step explanation:

in parallel lines, the slope is the same, the y-intercept is the one that changes

Answer: 1/4 is the answer

Step by step


Since starting a new recycling plan, Aaron's office recycles 7 kilograms of paper each week,
How many weeks will it take Aaron's office to recycle a total of 28 kilograms of paper?

Answers

Answer: 4 weeks

Step-by-step explanation: 28 divided by 7 is 4.

Mr. Gary wrote the sequence below on the board.
10,5, 0, -5, -10
Identify the value of aj and complete the recursive rule for Mr. Gary's sequence.
aj =
an = an-1

Choices :
0,5,0,-5,-10

Answers

Answer:

a₁ = 10aₙ = aₙ₋₁ - 5

Step-by-step explanation:

Given the sequence:

10, 5, 0, -5, -10

The first term is 10 and the common difference is -5

The recursive formula for the given sequence is:

a₁ = 10aₙ = aₙ₋₁ - 5

(EASY) For Brainliest Please help)
Find the numbers if-
A) 0.6of it is 30
B)1.5 of it is30
C)1.6 of it is 32

Answers

Answer:

(A) 18

(B) 45

(C) 51.2  

Step-by-step explanation:

(A, 0.6 of 30) We need to find out 0.1 of 30 so we divide 30 by 10 which gives us 3. This means that 0.1 of 30 is 3. Since we know that, we multiply 3 by 6 which gives us 18.

(B, 1.5 of 30) Since we figured out that 0.1 of 30 is 3 on the first question, we can multiply 3 by 15 which gives us 45.

(C. 1.6 of 32) We need to find out 0.1 of 32 so we divide 32 by 10 which gives us 3.2. Now, we divide 3.2 by 16 which gives us 51.2.

I really hope that you understand. Also, I didn't really understand the question so I kind of guessed what the question was. But the answers are 99% accurate. The 1% is that I might have gotten the equations wrong.

Answer:  go look onto all of my questions. And you’ll find. The answer(sss) atleast most of them

Step-by-step explanation:

WILL GIVE BRAINLIEST PLEASE HELP ASAP
What is the value of x?
Enter your answer in the box.
x =

Answers

Answer:

x= -5

Step-by-step explanation:

its kinda complex, i don't know if my answer is right but i think it has to do with propertions

if its right can i have brainliest

How Do I simplify this?
-3(x + 4y) + 2(x - 2y) + (3x -5y)​

Answers

Answer:

=2x - 21y

Step-by-step explanation:

One step at a time

-3(x + 4y) = -3x - 12y

2(x - 2y) =2x - 4y

=-3x - 12y + 2x - 4y + 3x -5y

=2x - 21y

Find sin θ for θ = 30° HINT: Draw the corresponding special right triangle to find the trigonometric values.

Answers

Answer: 1/2

do you have a unit circle?

Step-by-step explanation:

Can somebody help me

Answers

Answer:

its d

Step-by-step explanation:

I'm supposed to answer this word problem "Martin bought a television for $225. It had been on sale for 25% off. How much money did Martin save on the television because of the sale?" I want to know what equation I have to do to get the answer since I have to "show my work" I don't want an answer to the problem I just want an equation for the problem

Answers

Answer:

Martin saved $75 on the television because of the sale

Step-by-step explanation:

Equations

Let's call x=the original price of the television (before discount).

The television had been on sale for 25% off, this means the discount was:

25% of x = [tex]\frac{25}{100}.x[/tex] = 0.25x

The sale price was the original price minus the discount:

x - 0.25x = 0.75x

This is what Martin paid, thus:

0.75x = 225

Dividing by 0.75:

x = 225 / 0.75

x = $300

The original price of the television was $300, and the discount was:

0.25*$300 = $75

Martin saved $75 on the television because of the sale

PLEASE HURRY ! Find the length of BC.

Answers

Answer:

the length of BC is 9.

x=9

Answer:

here is your answer.....

the length of BC is 9

ANSWER:OPTION C

Four integers have a mean of 12, a median of 14, a mode of 14 and a range of 12.
Find the four integers.

Answers

Answer:

4, 14, 14, 16

Step-by-step explanation:

Key skills needed: Casework, Mean, Median, and Mode

1) We start with 4 numbers _ _ _ _

2) We can determine two of the numbers by using the fact that the median is 14 and the mode is 14.

3) The numbers would have to be:

_ 14 14 _ _ 14 14 14

The 2nd one does not work because the last number would have to be a 6 to have a mean of 12, but the range would not be 12.

4) So, our numbers are _ 14 14 _

5) The two numbers add up to 20 (in order to have a mean of 12. If you subtract the bigger one by the smaller one, it will be 12.

6) We can make a system: saying x is the bigger number and y is the smaller number.

x + y = 20

x - y = 12

Add both and you will get 2x = 32 (since the y values cancel out).

7) divide by on both sides, and x = 16.

8) To find y, we can plug x back in to one equation:

16 + y = 20

y = 4

Our smaller number is 4 and our bigger number is 16.

9) Therefore the numbers are: 4, 14, 14, 16

Hope you understood and have a nice day!! :D

Find cos θ for θ = 45°

Answers

Answer:

[tex] \cos( \theta) \\ \cos(45) = \cos( \frac{\pi}{4} ) \\ = \frac{1}{ \sqrt{2} } \\ or \\ = \frac{ \sqrt{2} }{2} [/tex]

90°- θ = θ - 45°

= 20 = 135°

= θ - 65.5°

Each day a carwash used 4.70 liters of soap. After 2 days,
how much soap would they have used?

Answers

Answer:

9.40L

Step-by-step explanation:

They would've used 9.4 liters of soap after two days.
If you multiply the amount of soap used a day and how many days it's been, you'll get the amount of soap used.
4.7*2 = 9.4

1+4(3x10)-12x equal to -9?And how do you get the answer pls

Answers

Answer: 1+4(30)-12x

              1+4*30- 12*x X is  equal to 1 so 12x Will be 12

               1+4*30-12

                5*30-12

                150-12

                138    so not it dosen't equal 9

Step-by-step explanation: do PEMADS please excuse my dear ant saly

4^(x-1)+4^(x)+4^(x-1)=84

Answers

Answer:

7.66

Step-by-step explanation:

Just open the parenthesis.

4x-4+4x+4x-4=84

Now simplify and solve

12x-8=84

12x=92

x= 7.66

Answer these quick and easy questions I cant get my head around

Answers

1. There are 26 letters in the alphabet. Only one of those letters is A. Thus, the probability of picking A is 1/26.

2. Out of the 26 letters, two are either A or B. Thus, the probability would be 2/26, or 1/13.

3. 1/26 letters in the alphabet are Z thus there is a 1/26 probability in picking this letter.

4. There are 5 vowels in the alphabet. Thus, the probability would be 5/26.

5. There are 21 consonants in the alphabet, thus the probability of selecting a consonant fron the alphabet would be 21/26.

6. 4/26, as there are 4 unique letters from the alphabet in the name Bryn.

7. 8/26, as there are 8 letters before I in the alphabet.

8. 5/26 because there are 5 letters in the alphabet following the letter U

9. 11/26 because there are 11 letters between I and U.

10. 0/26 because there are no numbers in the alphabet.

I’ll pay if you help me I don’t understand this

Answers

Answer:

See Explanation

Step-by-step explanation:

Both vertical lines are parallel to each other. (given)

Similarly, both horizontal lines are also parallel to each other.. (given)

So, quadrilateral obtained by the intersection of both vertical and horizontal lines is a rectangle.

Therefore,

[tex] \angle 7 \cong \angle 6... (1)[/tex]

(corresponding angles)

[tex] \angle 6 \cong \angle 5... (2)[/tex]

(corresponding angles)

From equations (1) & (2)

[tex] \angle 7 \cong \angle 5... (3)[/tex]

(By Transitivity)

[tex] \angle 5 \cong \angle 10... (4)[/tex]

(vertical angles)

From equations (3) & (4)

[tex]\huge \purple {\boxed {\angle 7 \cong \angle 10}} [/tex]

(By Transitivity)

There are several other ways to prove it as well.

Find the perimeter and area of the following rectangle

Answers

Step-by-step explanation:

A = 12x^3y^2

P = 2(4x^2y+3xy)

Which undefined term is used to define an angel

Answers

answer- undefined term is used to define an angle

Search instead for Which undefined term is used to define an angel

From the term line the term angle can be defined because when two lines intersect at a point an angle is formed. ... Therefore, the undefined term which is used to define the term an angle is line.

Step-by-step explanation:

Answer: line

Step-by-step explanation: In geometry, the three terms which are

considered to be undefined is line, point and plane.

What property does the following equation show? 5+7+9=7+5+9

Answers

Answer: it’s commutative property.

Step-by-step explanation: commutative property is when you switch numbers but the answer still stays the same. Hope this helped!

1 1/4 minus 1/2 (thanks)UwU

Answers

Answer:

3/4

Step-by-step explanation:

1/2 = 2/4 amd 1 1/4 =5/4

5/4-2/4=3/4

a plane, initially traveling 150 mi/hr 100 east of north, suddenly enters a region where the wind is blowing at 50 mi/hr from the southwest. What is the plane's resultant direction?

Answers

Answer:

Velocity of plane is 100 mi/hr along northeast direction

Step-by-step explanation:

From the question it is given that Initial velocity of plane is 150 mi/hr along east north direction and wind is blowing at 50 mi/hr along southwest direction

since the velocity of wind and plane is exactly opposite

⇒ relative velocity of plane with respect to wind is given by

[tex]v_r_e_l = v_p - v_w[/tex] where [tex]v_p[/tex] is the velocity of plane = 150mi/hr and [tex]v_w[/tex] = velocity of wind = 50 mi/hr

Therefore, [tex]v_r_e_l = v_p - v_w[/tex]  = [tex]v_r_e_l = 150 - 50 = 100 mi/hr[/tex] alond northwest direction

Therefore, velocity of plane is 100 mi/hr along northeast direction

By working with the velocity vectors, we will find that the direction of motion of the plane is 28.7 south of east.

Working with the velocity vectors:

First, we need to define our coordinate axis, I will define the x-axis as the east and the y-axis as the north.

We know that the plane travels at 150 mi/hr at 100° east of north, notice that if we measure from the positive x-axis, this is equivalent to an angle of -10°.

Then the x-component of the velocity is: 150mi/hr*cos(-10°) = 147.7 mi/hrThe y-component of the velocity is: 150mi/hr*sin(-10°) = -26 mi/hr.

So the vector is:

V =  < 147.7 mi/hr,  -26 mi/hr >

Now we know that the wind blowing at 50mi/hr at southwest, exactly southwest would be at an angle of 225°, so the components of the vector are:

x-component: 50mi/hr*cos(225°) = -35.4 mi/hry-component: 50mi/hr*sin(225°) =  -35.4 mi/hr.

So the vector is:

W = < -35.4 mi/hr, -35.4 mi/hr>

The sum of the vectors gives the total velocity of the plane in the wind, we will get:

V + W =  < 147.7 mi/hr -35.4 mi/hr ,  -26 mi/hr -35.4 mi/hr >

V + W =  <112.3 mi/hr, -61.4 mi/hr>

The direction of a vector <x, y> is given by:

θ = Atan(y/x)

Then in this case the direction of the plane is:

θ = Atan(-61.4 mi/hr/112.3 mi/hr) = -28.7°

So the direction of the plane is 28.7° south of east.

If you want to learn more about vectors, you can read:

https://brainly.com/question/17108011

is social media company conducted research on the number of our high school students are on social media and the hours of leaf they receive based on the scatterplot in the image what is the best prediction of the number of hours a high school school student sleeps when he spends 1 hour and social media​

Answers

Answer:

8.5 hours

Step-by-step explanation:

Draw a line of best fit to predict

Chang needs 245 programs for the school play on Thursday. How many boxes of programs will he need, given that each box contains 37 programs?

Answers

7 boxes

Let’s set up an equation to solve for x, the amount of boxes Chang needs

37x = 245

Divide both sides by 37

x = 6.62162

We can round to x = 7 boxes so that Chang will have enough programs. (Because if we say he needs 6 boxes, Chang will only have 222 programs)
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