Using the distance formula calculate the distance show me example

Using The Distance Formula Calculate The Distance Show Me Example

Answers

Answer 1

Answer:

[tex]4\sqrt{26}[/tex]

Step-by-step explanation:

The distance formula is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex].

Thus we can plug the numbers in:

[tex]\sqrt{(-2-(-6))^2+(10-(-10))^2}[/tex]

[tex]\sqrt{(4)^2+(20)^2}[/tex]

[tex]\sqrt{16+400}[/tex]

[tex]\sqrt{416}[/tex]

[tex]4\sqrt{26}[/tex]


Related Questions

Need help with this geometric question

Answers

Answer: A

Step-by-step explanation:

[tex]V=\frac{1}{3}Bh\\\\V=\frac{1}[3}(6.3)(2.4)(3.6)=\boxed{18.144}[/tex]

find SP when profit loss is given​

Answers

Answer:

the formulas for profit and loss percentage are given below profit percentage p profit cost price into 100 loss percentage l is equal to loss cost price is into 100 SP

Sid makes a graph for estimating the y-value.He wants to compare it to the table before he turns it in. Do the table and the graph represent the same function?

Answers

Answer:

No

Step-by-step explanation:

The graph and the table do not show the same function as none of the y values on the graph correspond to the y values on the table.

1/4​ ÷9=????????????????????????????????????????????????????????????????????????????????????????????????????????????

Answers

Answer:

1/36

Step-by-step explanation:

¼ / 9

9 as a fraction is 9/1

use KFC (keep flip change)

¼ x ⅑ = 1/36

[tex] \frac{1}{4} \div 9 \\ \\ first \: way \\ 0.25 \div 9 \\ 0.027 \\ \\ second \: way \: \\ \frac{1}{4} \times \frac{1}{9} \\ \frac{1}{36} \\ 0.027[/tex]

PLEASE GIVE BRAINLIEST

PLEASE HELP

Question 3 Alexa wants to use an indirect proof to prove that all rectangles are not squares. She first assumes that all rectangles are squares. Alexa then provides the following counterexample to disprove her assumption. She concludes that all rectangles must not be squares. Which statement best describes Alexa's indirect proof? Alexa's proof is incorrect. She followed the steps of an indirect proof in the wrong order. O Alexa's proof is incorrect. She made an error in her assumption. O Alexa's proof is correct and contains no errors. Alexa's proof is incorrect. She made an error in her counterexample. #​

Answers

Hello! Im Tutor Sezina

Answer:
Alexa proof is incorrect. She made an error in her assumption

Solution:
Her Assumptions was wrong. Not all rectangles are square

Alexa's proof is incorrect. She made an error in her counterexample.

What is rectangle?

"It is a quadrilateral whose all angles measure 90°, opposite sides are parallel and equal in length."

What is square?

"It is a parallelogram whose all sides are equal in length and all angles measure 90° "

What is parallelogram?

"It is quadrilateral whose opposite sides are parallel and equal in length."

What is counterexample?

"It is a special kind of example that disproves a statement. "

For given question,

Alexa wants to use an indirect proof to prove that all rectangles are not squares.

We know that, to prove a theorem indirectly, we assume the hypothesis is false, and then arrive at a contradiction. It follows the that the hypothesis must be true.

Alexa first assumes that all rectangles are squares.

Then she provides counterexample as shown in the given diagram.

The diagram represents the parallelogram not a rectangle.

This means  she made an error in her counterexample.

Therefore, Alexa's proof is incorrect. She made an error in her counterexample.

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A house’s was valued at 269,00. After several years, the value increased by 18%. By how much did it increase in dollars? What is the current house value

Answers

Answer:

31742

Step-by-step explanation:

[tex]26900 \times \frac{100 + 18}{100 } = 31742 [/tex]

P is a polynomial of degree 4 with three zeros: -1 and 2 are zeros of multiplicity one, and 3 is a zero with multiplicity two. If P(0) = 90, what is the lead coefficient of P ?

Answers

Answer:

[tex]P(x) = (x+1)(x-2)(x-3)^2 + 108[/tex]

Step-by-step explanation:

let me know if you want an explanation

What is the value of x in the equation 1/5x - 2/3y=30 when y= 15

Answers

Substituting in y=15,

[tex]\frac{1}{5}x-\frac{2}[3}(15)=30\\\\\frac{1}{5}x-10=30\\\\\frac{1}{5}x=40\\\\x=\boxed{200}[/tex]

Answer: x = 200

Step-by-Step Solution:

=> 1/5x - 2/3y = 30 ; when y = 15

Substitute the value of ‘y’ :-

1/5x - 2/3y = 30
x/5 - 2(15)/3 = 30
x/5 - 30/3 = 30
x/5 - 10 = 30
x/5 - 50/5 = 30
x - 50 = 30 * 5
x - 50 = 150
x = 150 + 50
=> x = 200

Therefore, x = 200

3x² - 2x + 1 = [?]
x=4

Answers

Answer:

3x²-2x+1=?

3(4²)-2(4)+1=?

3(16)-8+1=?

48-8+1=?

40+1=41

James has available a 10% alcohol solution and a 60% alcohol solution find how many liters of each solution he shouldn’t mix to make 50 L of a 40% alcohol solution

Answers

He did take over 50l of alabocol and drank the rest so it got to 20

Answer:

20 L

Step-by-step explanation:

I am guessing that you meant should instead of shouldn't.

To solve this we can set the amount of 10% solution needed equal to x. This means that the 60% solution will be the remaining amount needed, so 50 L - x.

We can do 10%*x+60%*(50-x)=50*40%. Solving for x we get:

0.1*x+0.6*50-0.6*x=50*0.4

0.1*x+30-0.6*x=20

-0.5*x=-10

x=20

Describe the graph of a function g by observing the graph of the base function ƒ.
A. g(x) = 2ƒ(–x) g(x)
B. g(x)= -1/2f(x)
C. g(x)= 1/2f(-x)
D. g(x)= f(-1/2x)

Answers

The correct answer is option B which is g(x)= 1/2f(-x).

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

As we can see in the graph that the value of the function g(x) will be calculated by the distance formula:-

[tex]g(x) = \dfrac{ 0 + 2}{2 - 0 }=\frac{2}{2}=1[/tex]

The value of the function f(x) will be:-

[tex]f(x) =\dfrac{2-0}{-4+0}=\dfrac{-1}{2}[/tex]

So g(x) = ( -1/2) f(x)

Therefore the correct answer is option B which is g(x)= 1/2f(-x).

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Someone do this please, ty.

Answers

5 is the missing value.

Step-by-step explanation:

12x = 60

x = 60/12

x = 5

Answer:

[tex]\boxed{\rm x = 5}[/tex]

Step-by-step explanation:

[tex] \rm \cfrac{12}{20} = \cfrac{3}{x} [/tex]

Find the missing value.

Solution with work shown:

Use criss-cross multiplication:

[tex]12 \times x = 3 \times 20[/tex][tex]12x = 60[/tex]

Divide both sides by 12:

[tex] \cfrac{12x}{12} = \cfrac{60}{12} [/tex]

[tex]x = 5[/tex]

Hence,the missing value is 5.

What is the slope of a line that is perpendicular to the line shown on the graph?

Answers

Answer:

4

Step-by-step explanation:

The slope of the line in the image is -1/4. I found that by starting at the point (0,2) and moving down 1, and right 4. This is because slope is rise over run, meaning that you move up/down and then right/left. You can see that the line is sloping downwards, so it is negative.

Perpendicular lines have a slope that is the opposite reciprocal, meaning the sign is opposite and the numerator and denominator are flipped (reciprocal). The current slope is -1/4, so the reciprocal is -4/1 (or just -4). Then just make the negative positive and you get 4.

OLLEGE
>
For the given functions, find (fog)(x) and (gof)(x) and the domain of each.
f(x) = 4x + 1, g(x)=√x
(fog)(x) =
(gof)(x) =
The domain of fog is ☐.
(Type your answer in interval notation.)
The domain of g of is.
(Type your answer in interval notation. Use integers or fractions for any numbe

Answers

Part 1

[tex](f\circ g)(x)=f(\sqrt{x})=4\sqrt{x}+1[/tex]

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus, the domain is [tex]\boxed{[0, \infty)}[/tex]

Part 2

[tex](g \circ f)(x)=g(4x+1)=\sqrt{4x+1}[/tex]

We need to make sure the radical is defined, meaning the radicand has to be non-negative. Thus,

[tex]4x+1 \geq 0\\\\4x \geq -1\\\\x \geq -\frac{1}{4}[/tex]

Thus, the domain in interval notation is [tex]\boxed{\left[-\frac{1}{4}, \infty)}[/tex]


Determin d/dx (x²+1) (7x-3) and d/dt(3t-2/5t+1)

Answers

Answer:

2x(7x-3) + (x²+1)(7)

Step-by-step explanation: use product rule

Which expression can be used to convert 80 US to Australian dollars?​

Answers

Answer:

0.9668 USD

Step-by-step explanation:

1 USD=1.0343 AUD 1AUD=0.9668 USD.

On a unit circle, Ø = 60°. Identify the terminal point and Tan Ø

Answers

The terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.

What is angle measurement?

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given;

Ø = 60°

Let's assume the value of r = 1 units

The terminal points are;

x= rcosΘ

x=1 × cos 60°

x=0.5

y=rsinΘ

y=rsin60°

y = 0.86

The terminal points when the value of r is 1 will be 0.5 and 0.86.

The value of the tan for the given value of the angle;

Tan 60° = 1.732

Hence, the terminal points when the value of r is 1 will be 0.5 and 0.86 and the value of tan 60 will be 1.732.

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please help ive been stuck on this question.

Answers

The value of the expression 8 / m - 11 / 3m is  13 / 3m

How to simplify an expression?

8 / m - 11 / 3m

Therefore,

8 / m - 11 / 3m

The factor of the denominator is 3m

Therefore,

8 / m - 11 / 3m = 3(8) - 11/ 3m

3(8) - 11/ 3m = 24 - 11 / 3m

24 - 11 / 3m = 13 / 3m

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An asset has a cost of $50,000, with a residual value of $10,000. It has a life of 5 years and was purchased on January 1. Under double-declining-balance, what’s the asset’s fourth full year of depreciation expense?

Answers

The asset’s fourth full year of depreciation expense will be $6,666.67.

What is double-declining-balance?

An enhanced technique for recording loss over the lifetime of a product by adjusting the item's starting sales price by a discount factor.

An asset has a cost of $50,000, with a residual value of $10,000.

It has a life of 5 years and was purchased on January 1.

Then the asset’s fourth full year of depreciation expense will be

Annual depreciation = (cost – salvage value)/ useful life

Annual depreciation = (50000 – 10000) / 5 = $8,000

Year 1 Depreciation (for 10 months, from March to December) = $8,000 × 10/12 = $6,666.67.

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The interior angle of a regular polvgon is 9 times the size of its exterior angle
Work out how many sides the polygon has

Answers

Answer:   20 sides

==================================================

Work Shown:

x = exterior angle

9x = interior angle

interior + exterior = 180

9x+x = 180

10x = 180

x = 180/10

x = 18

n = number of sides

n = 360/x

n = 360/18

n = 20

There are 20 sides to the regular polygon.

Side notes:

The formula to determine n only works for regular polygons.A polygon with 20 sides is known as an icosagon.Any pair of adjacent interior and exterior angles are supplementary. They add to 180 degrees.

Factor: 120u² + 125u + 30.

Answers

Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

lmk if you want an explanation

Answer:

5(3u+2)(8u+3)

Step-by-step explanation:

Well you first want to factor out any GCF which in this case is 5

5(24u² + 25u + 6)

so now a, b, c = 24, 25, 6.

ac = 144

factors of 144 that add up to 25 are 9 and 16

rewrite equation

(24u² + 9u) + (16u + 6)

factor out GCF

3u(8u+3) + 2(8u + 3)

(3u+2)(8u+3)

plug that back into entire equation

5(3u+2)(8u+3)

I need the answer for number 4 please!!

Answers

Answer:

-3 - false

0 - true

1 - true

2 - false

4 - true

Step-by-step explanation:

the "zeros" of a function are its x-intercepts

(because that is when the function = zero [0])

So, we can look at the x-intercepts of the graph to find the zeros:

at 0, 1, and 4 the function = 0, meaning that those are zeros of the function

hope this helps!! have a lovely day :)

What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?

3x − 4y = −17
3x − 4y = −20
4x + 3y = −2
4x + 3y = −6

Answers

Answer:

4x + 3y = - 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

• Parallel lines have equal slopes

calculate the slope of the line using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (3, - 1) ← 2 points on the line

m = [tex]\frac{-1-3}{3-0}[/tex] = [tex]\frac{-4}{3}[/tex] = - [tex]\frac{4}{3}[/tex] , then

y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

to find c substitute (- 3, 2 ) into the partial equation

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - [tex]\frac{4}{3}[/tex] x - 2 ← equation in slope- intercept form

multiply through by 3 to clear the fraction

3y = - 4x - 6 ( add 4x to both sides )

4x + 3y = - 6 ← in standard form

If a=(-1 -3 2 2 5 -1 -4 -5 -4) and b=(3 3 5 2 -5 2 -4 -1 1) find AB?

Answers

Answer:

what is the control ofprice floir or price celling then scplain one advantage an one dissvantage

The correct answer is -54

What are the coordinates of point P on the directed line
segment from A to B such that P is the length of the
line segment from A to B?

A. (-29/4 , -3/2)
B. (-13/4 , 1/2)
C. (-11/4 , -1/2)
D. (25/4 , -1/2)

Answers

The coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.

What is a straight line?

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have a line segment shown in the picture:

From the graph:

Point A( -5, -1) and B(4, 1)

The equation of the line passing through the points:

[tex]\rm (y -1 ) = \dfrac{1+1}{4+5}(x-4)[/tex]

9(y - 1) = 2(x - 4)

The above equation shows the straight-line passing through points A and B.

From the graph point (-11/4, -1/2) lies on the line the coordinate of the point P is (-29/4, -3/2)

Thus, the coordinate of the point P is (-11/4, -1/2) option (C) is correct because point (-29/4, -3/2) lies on the line.

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A vehicle purchased for $20,700 depreciates at a constant rate of 4%. Determine the approximate value of the vehicle 15 years after purchase.

Answers

The approximate value of the vehicle 15 years after purchase is $11,221.19.

What is the approximate value of the vehicle 15 years after purchase?

Depreciation is when the value of an asset declines with the passage of time as a result of wear and tear.

Value of the car = purchase price x (1 - rate of decline)^number of years

20,700 x (1 - 0.04)^15 = $11,221.19

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Which graph shows y=1/2⌈x⌉?

Answers

The correct answer is option B which is the graph that represents the equation y = (1/2)x will be the second option in the figure. At every value of y, the value of x is double.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph of the equation y =1/2x is represented in the answer below we can see in the graph that at every value of y the value of x is double for example if we put y = 1 then the value of x will be 2.

y = 1/2 x

at x = 2

y = 1/2 x 2

x = 1

Therefore the correct answer is option B which is the graph that represents the equation y = (1/2)x will be the second option in the figure. At every value of y, the value of x is double.

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Determine if an exponential would be an appropriate model for the data shown in each scatter plot. Select
one that applies.

Answers

Answer:

Yes, No, No

Step-by-step explanation:

The function of an exponential graph is attached below. The first graph fits the look of an exponential graph. The rest do not.

Answer:

Yes, No, No

Step-by-step explanation:

1st graph represents exponential2nd graph represents quadratic3rd graph represents linear

A city has a population of 1300. If the city’s population grows 30%, what is its new population?

Answers

Answer:

1699

Step-by-step explanation:

30/100*13000

Then add answer with 1300

eg 1300+399

I hope this explanation helps you.Also You can follow me.

Write an equation of the line that passes through a pair of points: On a coordinate plane, a line goes through (4, 1) and (5, 2). a. y = x + 3 c. y = -x + 2 b. y = x - 3 d. y = -x - 2 Please select the best answer from the choices provided A B C D

Answers

Answer:

b. y = x - 3

Step-by-step explanation:

The general form of the equation of the line is y = mx + c.

1) Find for m (gradient) using the following formula:

m = y2 - y1 / x2 - x1

Substitute the values into it and solve for m.

m = 2 - 1 / 5 - 4

m = 1 / 1

m = 1

2) Substitute into m of the y = mx + c.

y = 1x + c

3) Choose one the coordinates that the line goes through ((4, 1) or (5, 2)) to find c (y-intercept). I will choose (4, 1). Then, substitute your chosen coordinates into your newfound equation (y = 1x + c)

1 = 1(4) + c

1 = 4 + c

1 - 4 = c

-3 = c

Substitute -3 in place of c.

y = 1x - 3, which can be simplified to y = x - 3. Therefore, the correct choice is b.

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