d = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 Evaluate d if ( x 1 , y 1 ) = ( − 3 , 4 ) and ( x 2 , y 2 ) = ( − 2 , 4 ) .

Answers

Answer 1

Answer:

1

Step-by-step explanation:

let's substitute the numbers:

[tex]d=\sqrt{[-2-(-3)]^2+(4-4)^2}=\sqrt{(-2+3)^2-0^2}= \sqrt1= 1[/tex]

Answer 2

The value of d if [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex] in [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] is 1.

Distance

The distance between the two co-ordinates points can be evaluated by using the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the coordinates of the endpoints.

How to evaluate the distance?

The given coordinate points are [tex](x_1,y_1)=(-3,4)[/tex] and [tex](x_2,y_2)=(-2,4)[/tex].

Substitute the values of the known parameters in the formula [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] as-

[tex]d=\sqrt{(-2-(-3))^2+(4-4)^2}\\=\sqrt{(-2+3)^2}\\=1[/tex]

Hence, the value of d is 1.

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Related Questions

Help help fast please first answer gets brainiest also needs to be clearly stated

Answers

Answer:

(1,5) and (4,7)

Step-by-step explanation:

The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.

Simplify the following expression. (0.5x – 3)(0.5x + 3)​

Answers

Answer:

0.25x^2-9

Step-by-step explanation:

Difference of squares converse:

0.25x^2-9

Answer:

0.25x^2-9

Step-by-step explanation:

multiply 0.5x with 0.5x which is 0.25x^2. then multiply 0.5x with 3 which is 1.5x. then multiply -3 with 0.5x which is -1.5x. then multiply -3 with 3 which is 9. so you will have 0.25x^2+1.5x-1.5x-9.

1.5x and -1.5x is 0. so you are left with 0.25x^2-9

A man and his son are in the living room watching TV when the son asks his father a question.

"Dad, why is my sister's name Teresa?"

The dad thinks for a little bit and answers him.

"Well your mother loves Easter, and when you rearrange the letters in Teresa, you get Easter."

The son understands and says,"Thanks, dad."

The dad replies with,"No problem, Alan"

Answers

When we arrange Alan it brings out a dirty word

Answer:

so what is the q

Step-by-step explanation:

solve the proportion! (someone help)

Answers

Answer:

4.75

Step-by-step explanation:

titan won 9 games last year and average eight this year write equation for the number of wins they can except to have after X year

Answers

Step-by-step explanation:

x = how many games won last year

x - 1 = how many games won each year

Elena said the equation 9x+15=3x+15 has no solutions because 9x is greater than 3x. Do you agree with Elena? Explaining your reasoning.

Answers

Answer:

it does have a solution x=0

Step-by-step explanation:

9x+15=3x+15

6x+15=15

6x=0

x=0

Answer:

I agree.

Step-by-step explanation:

Here is my explantion:

[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]

Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =
Write the prime factorization of 315.

315 =

Answers

3 exponent 2 × 5 exponent 1 × 7 exponent 1

What is the constant of proportionality in this
equation?
y= 20x

Answers

Answer:

k=20

Step-by-step explanation:

The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.

Use mental math to find the partial products 3,000 x 5=

Answers

Answer:

15,000

Step-by-step explanation:

3 times 5 is 15, just add the 3 zeros.

15,000 is the partial product of 3000*5.

What is partial products?

A partial product is a product obtained when we multiply a multiplicand by one digit of a multiplier that has more than one digit.

Given that, 3000*5

3000*5 = 15000

Hence, the partial product of 3000*5 is 15000.

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b
– 2 =
7
8

Write your answer as a fraction or as a whole or mixed number.

b =

Answers

Answer:80

Step-by-step explanation:

package of 11 wristbands costs $405.94. At this rate, what is the cost of 1 wristband in dollars and cents?

Answers

Answer:

36.90

Step-by-step explanation:

I need the answer if you know write with explination if you don't know don't answer ​

Answers

Answer:

ABD ≅ ACD and PQS ≅ PRS

Step-by-step explanation:

For ABD ≅ ACD;

AB = AC = 3.5

BD = CD = 2.5

AD ≅ AD by reflexive

Since all 3 sides are congruent, SSS can be used

For PQS ≅ PRS

PQ≅PR by given

QS≅RS by given

PS≅PS by reflexive property

Since all 3 sides are congruent, SSS can be used and they are congruent

Add.

310+(−720)

Enter your answer as a fraction, in simplified form, in the box.

Answers

Answer:

-410/1

Step-by-step explanation:

Hey there!

Question :-

[tex]310 + ( -720)[/tex]

We need to solve this arithmetic expression,as a fraction.

Solution:-

[tex] \sf \longmapsto310 \: + ( - 720)[/tex]

Note that (+) and (-) equals to (-).

New Arithmetic expression will be :-

[tex]\sf \longmapsto310 + (720)[/tex]

Remove the parenthesis :-

[tex]\sf \longmapsto310 - 720[/tex]

Calculating the Subtraction:-

[tex]\sf \longmapsto310 - 720[/tex]

As 310 < 720, 720 contains (-) sign. Therefore, The Solution will be -410 not 410.

[tex]\sf \longmapsto - 410[/tex]

Converting to Fraction:-

[tex]\sf \longmapsto \: - 410[/tex]

[tex]\sf \longmapsto \: \dfrac{410 \times 1}{1 \times 1} [/tex]

[tex]\sf \longmapsto - \dfrac{410}{1} [/tex]

On Simplification of this Fraction:-

[tex]\sf \longmapsto \cancel \dfrac{ - 410}{1} [/tex]

On Cancelling , -410 Is the result.

[tex]\sf \longmapsto - {410} [/tex]

______________________________________

Henceforth , the answer of the arithmetic expression Will be :-(Simplified)

[tex]\boxed{\bf-{410} }[/tex]

________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

I just woke up i need help ;-;

Answers

Answer:

i think that the correct answer is 7/12

a person buys X meter for 5
after, he sells 2/5 of it for 5.5
after, the half of it he sells 6.4
after, the leftovers for 6 and he make 120 profits of this
How much X meters he bought at the first place?

Answers

Step-by-step explanation:

I guess, it means every meter costs these amounts.

and the specified costs are not fit the whole bundle.

it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.

so, we have

-5x

+ 2/5x × 5.5

+ 1/2x × 6.4

+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6

= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).

about the line with the 1/10 :

the leftovers. 10/10 is the whole x at the beginning.

2/5 = 4/10.

1/2 = 5/10.

I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).

in full

-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120

-5x + 2.2x + 3.2x + 0.6x = 120

-5x + 6x = 120

x = 120

so, he bought 120m in the first place.

What can i multiply 2/3 by to make a product of 1? Explain how you know.

Answers

Answer:

[tex]\mathsf{\frac{3}{2}}[/tex]

Step-by-step explanation:

In order to get a product of 1, you must multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] with another fraction that will result in the same value for the numerator and the denominator, which is its reciprocal.  

In other words, [tex]\mathsf{\frac{2}{3} \:\times\frac{3}{2}\:=\:\frac{6}{6}\:=\:1}[/tex].

Therefore, you could multiply [tex]\mathsf{\: \frac{2}{3}}[/tex] by  [tex]\mathsf{\frac{3}{2}}[/tex] to make a product of 1.    

Choose Yes or No to tell whether each expression is equivalent to this expression.

–3(0.15 – 0.2 + 0.25p)

0.15 – 0.75p
Choose...


–0.45 – 0.6 + 0.75p
Choose...


–3(–0.05 + 0.25p)
Choose...


–3(0.15) + (–3)(0.2) + (–3)(0.25p)
Choose...

Answers

Answer:

top to bottom,

Yes

No

Yes

Yes

e^ln(5x) =

5x
ln(5)
5ln(x)
ln(x)

Answers

Answer:

5x

Step-by-step explanation:

The natural log of 5x is the exponent to give e to get 5x as a result.  You are simply applying the definition of logarithm

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

Here, we have,

The expression [tex]e^{ln(5x)[/tex] involves two important mathematical properties:

[tex]e^{ln(x)} = x[/tex]:

This is a fundamental property of the natural logarithm and the base of the natural exponential function, e.

When the natural logarithm (ln) and the natural exponential function [tex](e^x)[/tex] are composed, they "cancel out," and the result is the argument inside the ln function (x).

[tex]e^0 = 1[/tex]:

The natural exponential function raised to the power of 0 is equal to 1.

Now, let's simplify the expression step by step:

[tex]e^{ln(5x)[/tex]

Using property 1,[tex]e^{ln(5x)[/tex] simplifies to:

5x

Therefore, the correct option is "5x."

The expression [tex]e^{ln(5x)[/tex] evaluates to 5x after simplification.

Option: A is correct.

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PLS HELP WILL MARK YOU BRAINLIEST!!!

Answers

I believe it’s D because the notation should be outside the parenthesis

ok its either D or B but i think its D. Most likely.

help me with this plsssss

Answers

Answer:

y=1/2x+-5 is A

y=-2/3x+1 is B

y=4x+3 is C

y=2x+6 is D

help me brain pt Part 2

Answers

I think it would just be 34. There is a difference of 20 between -20 and 0 and a difference of 14 between 14 and 0. 20+14=34

Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.

Answers

Answer:

80,775

Step-by-step explanation:

I= (22,825) (0.0403) (63)

I= 57,950

P+I=A

I= A+P

I= 22,825 + 57,950

I= 80,775

Carey Enterprises sold equipment on January 1, 2014 for $10,000. The equipment had cost $48,000. The balance in Accumulated Depreciation at January 1 is $40,000. Requirements: 1. Compute the gain or loss on sale 2. Prepare journal entries to record the sale of the equipment

Answers

The sale of an equipment is referred to as disposal of an asset. The required answers are:

1. Gain on disposal = $2000

2.    Journal entry for the disposal of the equipment.

                              Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000  

Disposal of an asset implies the sale of a plant, property, or equipment. This would ensure the recovery of the carrying amount of the item during sale.

1. The gain or loss on sale of the equipment can be determined by deducting its carrying amount from its recoverable amount.

Thus, to determine the gain or loss on disposal;

                                         $'000

Cost                                     48

Accum. Depreciation          40

Carrying amount                   8

Gain or loss on disposal = Selling price - carrying amount

                                         = $10000 - $8000

                                         = $2000

The gain on disposal is $2000.

2.                           Dr                       Cr

                              $                         $

Cash acct.            10000        

Asset                                              8000

P or L                                              2000                              

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The sum of twice a numbet n, and 14 ls 30 write an equation that models this
statement. Then explain how you might use reasoning to find the value of

Answers

Answer:

2n + 14 = 30

n = 8

Step-by-step explanation:

When the question says twice a number n, that means 2 * n = 2n.

Then when it says the sum of 2n and 14, that means 2n + 14.

Then they said that the sum of 2n + 14 = 30

If you want to find the value of n, subtract 14 from both sides:

2n = 16

Then divide by 2 on both sides:

n = 8

I hope this helps!

Given the sequence 3, 1,-1, -3, ... use the arithmetic sequence formula to write an equation.
Then, find a32.

Answers

Answer:

a₃₂ = - 59

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = a₂ - a₁ = 1 - 3 = - 2 , then

[tex]a_{n}[/tex] = 3 - 2(n - 1) = 3 - 2n + 2 = - 2n + 5

Then

a₃₂ = - 2(32) + 5 = - 64 + 5 = - 59

How many 7-letter passwords can you make from the letters A, B, C, D, E, F and G, if letters CANNOT be repeated?

Answers

5040 passwords, if 7 is n, n(n-1)(n-2)(n-3)(n-4)(n-5)(n-6). Answer is 5040

Please Help! 20 Points! Will Give Brainliest if correct!

Answers

Answer:

eh+gf/fh

Step-by-step explanation:


Let log p/n=8 and log m/n=5
What is the relationship between Pand M?
O A. P = 3M
O B. P = 1,000M
C. P= 100M
O D. P=0.001M

Answers

Answer:

B: p=1,000m

Step-by-step explanation:

What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.

Answers

Answer:

Slope = -3/2

Step-by-step explanation:

[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]

[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]

-Chetan K

Gavyn drivers at a speed of 50 miles per hour. How long will it take to drive 225 miles

Answers

Answer:

4.5hours - 4h30 min

Step-by-step explanation:

Doing the math: 225 miles : 50 miles per hour = 4.5 hours

Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min

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