Why can't the square root cancel out the exponents in the distance formula?

Answers

Answer 1

Let's say instead of x2-x1, we say, "The difference between x2 and x1", let's call this value A. We'll do the same for the y variables and call that difference B, for simplicity.

For (2,3) and (4,9), we're really dealing with those differences, so A should equal 2, and B should equal 6. So far so good. But this is pretty much the "rise and run" of a triangle. 2 to the right, then 6 up. But if you walk 2 miles east, then 6 north, while you, personally, have travelled 8 miles, the distance between your starting point and where you are is NOT the way you walked.

So in the case of the triangle, using 2 as the run and 6 as the rise, to get the straight line between the starting point and the ending point, we have to do Pythagorean's Theorem, or A2 + B2 = C2 to get that last direct line between the two points. Cancelling the root and exponents removes the process to get that exact distance squared. We then take the square root of that to get the exact distance.


Related Questions

|-108| divided by |36|+|17|

Answers

108/53 = 2.037 or 2 2/53

last year a company made a profit of one and a quarter million dollars.Each year the company reinvests 1/3 of the profit How much of this profit eill they reinvest​

Answers

Answer:

$83,333

Step-by-step explanation:

1 000 000*1/4

250 000

250 000*1/3 = 83 333.33

solve for x


plss help​

Answers

Answer:

2

Step-by-step explanation:

These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.

PLS HELPP- I NEED AN ANSWER ASAP BRAINLY WILL BE GIVEN~

Answers

x-9 and x+-9 are equal

Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?

Answers

The number of the pints of soda were drank during the party will be 14 pints.

What is subtraction?

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Bob is throwing a party. He has 22 pints of soda.

At the end of the party, there are 8 pints of soda.

Then the number of the pints of soda were drank during the party will be

⇒ 22 – 8

⇒ 14

The number of the pints of soda were drank during the party will be 14 pints.

More about the subtraction link is given below.

https://brainly.com/question/4319655

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you bought 4 jumbo cookies for $5. whats the cost per cookie?

Answers

Answer:

80 Cents for each jumbo cookie

15<96–q
what is the value of q

Answers

Answer: q < 81

Step-by-step explanation:

isolate q

15 < 96 - q

-81 < -q

divide by negative 1 but flip inequality because you are dividing by a negative

81 > q so

q < 81

Simplify the polynomial then evaluate for x=-1 3x^2-4+2x-1+x^2

Answers

Answer:

-3

Step-by-step explanation:

Simplified polynomial: 4x^2 + 2x - 5

Plug in -1: 4(-1)^2 + 2(-1) - 5

= -3

I need this answer fast please factorise the following 16gh2 – 8hi + 24h =

Answers

Answer: 8h(2gh - i + 3)

Step-by-step explanation:

factorise 8 out as 8 is a comon factor of 16, 8 and 24

factorise h out together with 8 because all of them have h


A bag of balloons contains 4 red balloons, 11 green balloons, 15 yellow balloons, and 8 orange balloons. What is the probability that
a randomly selected balloon would be green or orange?

A. 23/38

B. 13/19

C. 15/38

D. 1/2

Answers

D. 1/2 because the amount green and orange balloons combined is 19 and red and yellow combine is also 19 balloons so there is a 50% chance

Answer:

D 1/2

Step-by-step explanation:

Probability is  the ratio of the number of favorable outcomes to the total number of outcomes

number of favorable outcomes = 11+8 = 19

total number of outcomes = 38

                    The probability that a randomly selected balloon would be green or orange is

  19/38 = 1/2

Use the product-to-sum formula to convert the expression to a sum or difference. Simplify where is possible. ​

Answers

Answer:

sin3t*cos(s)*cos(t)+sin3t*sin(s)*sin(t).

Step-by-step explanation:

sin3t*cos(s-t);

1) cos(s-t)=cos(s)cost+sin(s)sint; then

2) sin3t*cos(s-t)=sin3t*cos(s)*cos(t)+sin3t*sin(s)*sin(t).

In what fraction of their games did Darnel's team score 2 or more runs?

Answers

Answer:

0.75 or 3/4

Step-by-step explanation:

According to the given box plot, the 25% point matches the number 2.

It means the rest of the scores are 2 or more runs:

100% - 25% = 75% = 0.75 = 3/4 of all the runs

Help with all questions in pictures please
Just put the answers please (ex: 1A 2C 3B. etc)
For question number 7 where it says (Which of the following images represents the polar graph of r = 4cos 2θ?) only two of the graphs are shown please if you can include a graph of the correct answer *70Points*

Answers

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Convert point Q to polar coordinates (accounting for correct direction):

[tex]\displaystyle r=\sqrt{x^2+y^2}=\sqrt{(-5)^2+(-5\sqrt{3})^2}=\sqrt{25+75}=\sqrt{100}=10\\\\\theta=\tan^{-1}\biggr(\frac{-5\sqrt{3}}{-5}\biggr)=\tan^{-1}\bigr(\sqrt{3}\bigr)=\frac{4\pi}{3}[/tex]

Thus, the answer is [tex]\displaystyle \biggr(10,\frac{4\pi}{3}\biggr)[/tex], or A

Problem 2

Make polar substitutions:

[tex]x^2+y^2-2x+8y=0\\\\r^2-2r\cos\theta+8r\sin\theta=0\\\\r^2=2r\cos\theta-8r\sin\theta\\\\r=2\cos\theta-8\sin\theta\\\\r=-8\sin\theta+2\cos\theta[/tex]

Hence, the answer is C

Problem 3

Eliminate the parameter:

[tex]x=t+3\\x-3=t\\\\y=t^2+2t\\y=(x-3)^2+2(x-3)\\y=x^2-6x+9+2x-6\\y=x^2-4x+3[/tex]

Hence, the answer is C

Problem 4

Identify [tex]z_1[/tex] and [tex]z_2[/tex] and add the complex numbers:

[tex]z_1+z_2=(-3+5i)+(-5-2i)=-3+5i-5-2i=-8+3i[/tex]

Thus, the correct answer is S

Problem 5

Use the formula for multiplying complex numbers in polar form:

[tex]z_1z_2=r_1r_2(\cos(\theta_1+\theta_2)+i\sin(\theta_1+\theta_2))\\z_1z_2=(5)(15)(\cos(240^\circ+135^\circ)+i\sin(240^\circ+135^\circ))\\z_1z_2=75(\cos375^\circ+i\sin375^\circ)\\z_1z_2=75(\cos15^\circ+i\sin15^\circ)[/tex]

Hence, the answer is A

Problem 6

Determine when the ball first hits the ground:

[tex]y=-\frac{1}{2}gt^2+(v\sin\theta)t+y_0\\0=-\frac{1}{2}(32)t^2+(58\sin19^\circ)t+1.9\\0=-16t^2+(58\sin19^\circ)t+1.9\\t\approx1.273[/tex]

Determine the horizontal distance covered by the ball:

[tex]x=(v\cos\theta)t\\x=(58\cos19^\circ)(1.273)\\x\approx69.811[/tex]

Hence, the best answer is C

Problem 7

The equation is in the form of [tex]r=a\cos(n\theta)[/tex] where [tex]a[/tex] is the length of each petal and the curve has a horizontal pole. If [tex]n[/tex] is odd, then there are [tex]n[/tex] petals, but if [tex]n[/tex] is even, then there are [tex]2n[/tex] petals.

From our given equation, there are clearly 4 petals since [tex]n[/tex] is even, and each petal length is 4 units. Hence, the first graph is correct.

Help picture below problem 9

Answers

Answer:

i think the answer might be E.

the answer is A option that is Angle M

Find the distance between the two points in simplest radical form.
(-8,3) and (-2,-5)

Answers

Explaination :

Here we would be using distance formula to calculate the distance between those two points.

Points are,

(-8,3) (-2,5)

Distance Formula :

[tex]\huge \large \boxed{\sf{{d \: = \: \sqrt{(x _{2} - x _{1}) {}^{2} \: + \: (y _{2} - y _{1}) {}^{2} }}}} \: \red\bigstar[/tex]

We have :

x1 = -8 x2 = -2 y1 = 3 y2 = -5

Substituting the values in the formula :

Refer the attachment.

The distance between the pair of points (-8,3) and (-2,-5) in radical form is √100.

What is the distance between the pair of points?

The distance formula can be expressed as:

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}[/tex]

Given the coordinates of the pair of points:
Point 1( -8,3 )

x₁ = -8

y₁ = 3

Point 2( -2,-5 )

x₂ = -2

y₂ = -5

Plug the coordinates into the distance formula and simplify.

[tex]d = \sqrt{( x_2 - x_ 1 )^2 + ( y_2 - y_1 )^2}\\\\d = \sqrt{( -2 - (-8) )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( -2 + 8 )^2 + ( -5 - 3 )^2}\\\\d = \sqrt{( 6 )^2 + ( -8 )^2}\\\\d = \sqrt{36 + 64}\\\\d = \sqrt{100}[/tex]

Therefore, the distance is √100 units.

Learn more about the distance formula here: brainly.com/question/24509115

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PLEASE HELP PLEASE PLEASE HELP

Answers

Answer: Choice D

Reason:

Choices A through C all result in 8/3 = 2.667 approximately

In contrast, choice D becomes 2/3 + 4/3 = (2+4)/3 = 6/3 = 2; showing that choice D is not equivalent to choices A through C.

What is the value of the expression "two less than six times the difference of a number and five" when n = 9?
O22
O 16
O 32
O 31

Answers

I’m assuming that by n = 9 you mean the number in the expression is 9.

If we do this in steps it becomes quite simple, first let’s find the difference between the number and five,

9 - 5 = 4

Next you have to times that difference by 6,

4 * 6 = 24

Now we find what two less than that number is,

24 - 2 = 22

Hope this helps

Cual es la velocidad de un carro si su masa es de 1,2 toneladas y genera energía cinética de 905 J

Answers

Answer:

75 kilómetros por hora creo no estoy muy seguro

PLEASE HELP!!!! ILL MARK BRAINLIEST WITH 10O POINTS!!!!!!! WITH EXLANATION!!


Use the diagram below to create a paragraph proof for the statement: "The sine and cosine of complementary angles are equal"

Answers

Answer:

Complemenraty angles are two angles with sum of 90°. In the given triangle ∠A and ∠B are complementary.

Now, the sine and cosine

sine = opposite side/hypotenusecosine = adjacent side/hypotenuse

Find the sine of ∠A and cosine of ∠B

sin A = BC/ABcos B = BC/AB

Since right sides are equal, left sides are equal too

sin A = cos B

Similarly, we can show that

sin B = cos A

Proved


The first term of an A.P is 3 and the fifth term is 9.Find the number of terms in the progression if the sum of the progression is 81.​

Answers

Answer:

its A becauss i tryed b and th en i tried A so its a

What is the equation
of the line that passes through the point (-2, -3) and has a
slope of -1?

Answers

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

given : m = -1

the equation is : y = -x+b

through the point (-2,-3) :-3 =-(-2)+b....... b=-5

the equation is : y = -x-5

Choose the ratio that is equivalent to this one: 4/7

Answers

Answer:

4:7

Step-by-step explanation:

4:7 is the same as 4/7

absolute value of 19/24

Answers

Answer:

-19/-24 ?

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between −19 and 0 is 19 .

-24 has an absolute value of 24

Answer:

0.791666667 I hope this helped

Step-by-step explanation:

A window has the shape of a rectangle with a semicircle at the top.

Find the approximate area of the window using the dimensions shown.

Answers

Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,​

Answers

Step-by-step explanation:

cos 0=5/13. B/H

p=√h2 - b2

= √13 square -5 square

=√169 -25

=√144

=12 Ans

Tan0=p/b =12/5. , sin0=p/h =12/13,. sec0= h/b =13/5 ,. Co sec0 =h/p =13/12 , cot0 =b/p=5/12

Follow me for more knowledge

can some one help me do this question
just give me e and f

Answers

Answer:

I believe the answer should be 90:90:180. I may be wrong.

If 25 workers can complete a work in 48 days, then in how many days 20 workers will complete the same work?​

Answers

Answer:

heya! ^^

given that ,

25 workers together complete a certain piece of work in 48 days.

here , we've to find the number of days in which 20 workers can complete the same work ~

_____________________________

so let's start ~

★ 25 workers complete the work in = 48 days

★ 1 worker will complete the work in = 25 × 48 days

now ,

29 workers will complete the work in =[tex] \frac{\cancel{25} \times 48} {\cancel{20}} \: \: days \\ \\ \dashrightarrow \: \frac{5 \times \cancel{48}}{\cancel{4}} \\ \\ \dashrightarrow \: 5 \times 12 \\ \\ \dashrightarrow \: 60 \: days[/tex]

hope helpful :D

Answer:

60 days

Step-by-step explanation:

Thing to Remember

Number of workers is inversely proportional to the number of days

Solving

25 men can do a certain amount of work in 48 days25 men is reduced to 20 men ⇒ x 4/5Therefore, no. of days = inverse of rate of workers x 48⇒ 5/4 x 48 = 5 x 12 = 60 days

Simplify the expression by
combining like terms:
-3a + 1 + a +5
Enter the number that belongs in the green box.
[? ]a +[ ]
Enter

Answers

Answer:

-2a+6

Solution:Let's simplify this expression by combining like terms.The like terms are-3a, a1, 5Combine them:-3a+a+1+5-2a+6

Hope it helps.

Do comment if you have any query.

The value of the expression in standard nation is ….. of( 0.00032)(5.2 times 10^6) divided by 6.4 times 10^5

Answers

Answer:

The answer is 0.0026

Step-by-step explanation:

0.00032 x 5200000 = 1664

1664 divided by 640000 is 0.0026

Fill in the table using this function rule. (Fill Y side)
Y=10x+3

X Y
-1
0
1
5

Answers

Answer:

[tex]y = -7[/tex]

[tex]y = 3[/tex]

[tex]y = 13[/tex]

[tex]y = 53[/tex]

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