d
=

(
x
2

x
1
)
2
+
(
y
2

y
1
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2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
2
,

4
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and
(
x
2
,
y
2
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(
4
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3
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.
Leave your answer in surd form.

D=(x2x1)2+(y2y1)2Evaluate D If (x1,y1)=(2,4) And (x2,y2)=(4,3).Leave Your Answer In Surd Form.

Answers

Answer 1

[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]


Related Questions

Translate the sentence into an equation four more than six times a number is 11

Answers

6x+4=11

(x is "a number")

How do you solve for x

3x^2 = -24x

Answers

[tex]3x^2 = -24x \\\\\implies 3x^2 +24x =0\\\\\implies x^2 +8x = 0\\\\\implies x(x+8) =0\\\\\implies x =0~~ \text{or}~~ x = -8[/tex]

Step-by-step explanation:

3x² = -24x

Divide through by x

3x = -24

x = -24/3

x = -8

How would you write the quotient with a simplified fraction as a remainder?

Answers

Answer:

The answer is B) 851 ÷ 46 = [tex]18 \frac{1}{2}[/tex]

Step-by-step explanation:

851 ÷ 46 = 18.5

[tex]18 \frac{1}{2}[/tex] = 18.5

18.5 = 18.5

Since both are the same result that means that option B is the correct answer.

two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange​

Answers

10 dimes

The $2 are exchanged for 10 dimes and 4 quarters, which make 14 coins total.

solve pls brainliest

Answers

Answer:

$18.15

Step-by-step explanation:

45% of $33 = $14.85

$33 - $14.85 = $18.15

Brandon has 32 stamps. He wants to display the in rows, with the same number of stamps in each row. how many different ways can he display the stamps? explain.

Answers

Answer:

You can put the stamps in three rows of 8 since 8 times 3 equal 32

Step-by-step explanation:

Hope it helps

find x.
please i need help!!

Answers

Step-by-step explanation:

sin45°=x/4√2

=> 1/√2 = x/4√2

=> x= 4√2/√2

=>x= 4.

hope this helps you.

The question is an illustration of right-angled triangles

The value of x is (b) 4

To calculate the value of x, we make use of the following sine ratio

[tex]\sin(45) = \frac{x}{4\sqrt 2}[/tex]

Multiply both sides of the equation by [tex]4\sqrt 2[/tex], to make x the subject of the formula

[tex]x = \sin(45) \times 4\sqrt 2[/tex]

Evaluate sin(45)

[tex]x = \frac{1}{\sqrt 2} \times 4\sqrt 2[/tex]

Cancel out the common factors

[tex]x = 4[/tex]

Hence, the value of x is (b) 4

Read more about right-angled triangles at:

https://brainly.com/question/16195823

Someone plz help me :(

Answers

Answer:

B) 7 - 5x

Step-by-step explanation:

7 - 5x is the difference between the number 7 and the product of 5 and 'x'

I think the Answear is B

Write the following statement in the form of equation.
1) One third of a number plus 7 is 26​

Answers

1/3x+7=26
1/3 of x plus 7 is 26

The coefficient in the formula above tells us there are:


Question 5 options:


eight Carbon atoms



18 Hydrogen atoms



2 molecules of octane



28 total atoms

Answers

Answer: the awser is 2 not 6

Step-by-step explanation:

The bag of potato chips has 25% more in the new package. the original package had 14 ounces. how many ounces are in the new bags?​

Answers

Answer:

17.5 Ounces

Step-by-step explanation:

14/100=.14                 .14x25=3.5              14+3.5=17.5

Find the domain of the function.

Answers

Answer:

  all real numbers except x=8

Step-by-step explanation:

There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.

  The domain is all real numbers except x=8.

  In interval notation: (-∞, 8) U (8, ∞)

Denise is buying four birthday cards for $11.16. Sales tax on the four cards is $0.68. Including sales tax, what is the cost of each card?

Answers

Answer:

$11.16 - $0.68 = $10.48 - price of four cards without tax

$10.48 : 4 = $2.62 - price of one card without tax

Cheers!

Answer:

the cost of each card including sales tax is 2.79

the cost of each card without sales tax is

11.16-0.68=10.48

10.48÷4=2.62

Step-by-step explanation:

A butcher makes meatloaf by mixing hamburger which sells for a $1.89/lb and sausage which sells for $2.99/lb how many pounds of each should be used if he makes 30 lb of mix and sell it for $2.33/lb

Answers

Answer:

12 and 18

Step-by-step explanation:

Pls Solve

Due today
For a grade

First will be Brainliest!

Answers

What do you mean there is no question?

Using the slope and the y-intercept, graph the line represented by the following equation. Then identify the figure
showing that graph.
2x-y+4=0

Answers

the answer is 2x-y=-4

Select the two values of x that are roots of this equation.
x² + 2x - 4 = 0
O A. x= -1 - 15
B. x= -1+5
C. X=-1-215
D. x = -1+2-15

Answers

Answer:B and c

Step-by-step explanation:

please help me in question 31 only please and i’ll mark the correct answer as brainliest i promise

Answers

With 9 large eggs, they already weigh 18 ounces, so I’m not sure what the question means.

The equation should be 1.75x + 2y = 18.

If the question means how many combinations of eggs to make 18 ounces, then only 7 large eggs and 8 medium eggs or 9 large eggs satisfy the equation.

x = 8, y = 7 or x = 0, y = 9.

How to solve this? :)

Answers

Step-by-step explanation:

by understanding how a number actually works.

when I write e.g. the number 2648, what did I actually tell you ?

that there is a value or quantity that is

8×10⁰ + 4×10¹ + 6×10² + 2×10³

every number you or anybody else has ever written represented this type of information.

so, now we have a 2-digit number : xy

its value is : y×10⁰ + x×10¹

and because 10⁰ = 1 and 10¹ = 10, this is simply

x×10 + y or 10x + y

the description tells us that

|x - y| = 2

and that xy + yx = 132

that means

10x + y + 10y + x = 132

11x + 11y = 132

we can divide by 11 and get

x + y = 12

like 8+4 or 9+3.

and we know the difference between x and y is 2

like 6 and 4, or 1 and 3.

normally we should know the solution already (I do), but let's finish it formally.

we use one scenario of the absolute value equation :

x - y = 2

x = y + 2

and we use this in the second equation :

y + 2 + y = 12

2y + 2 = 12

2y = 10

y = 5

x = y + 2 = 5 + 2 = 7

the same, just with reversed positions, is the result when using

y - x = 2

so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.

On Tuesday, a restaurant serves iced tea to 24 of its 160 customers. What percent of the customers order iced tea

Answers

Answer:

15%

Step-by-step explanation:

24/160 = 0.15

0.15*100 = 15

blank as 9 hundred is 9 thousand​

Answers

Answer:

x = 10

Step-by-step explanation:

x × 900 = 9000

=> 900x = 9000

=> x = 10

Which sequence is geometric?
Group of answer choices

-2, 1, 6, 13...

-1, 2, 7, 14

-4, 20, -100, 500...

-7, 7, 21, 35...

Answers

Hi there! :)

A geometric sequence is a sequence where we use multiplication or division to get to the next term.

We use multiplication in the third sequence (we multiply by -5)

So the answer is Option C

Hope it helps

~Just a gloomy teen who misses her best friend

#CarryOnLearning

[tex]SilentNature[/tex]

there are 364 people in town for a conference. They have to go from the airport to the hotel and travel 12 people in a van. How many vans are needed?

Answers

Total number of people = 364

Number of people in 1 van = 12

Number of vans required = ?

Number of vans required = 364 / 12

= 30.33

But there's a remainder, so for the remaining few people to go you'll need an extra van. So, you need 31 vans.

=》Answer = option C. 31

______

RainbowSalt2222 ☔

A recipe for trail mix says: “Mix 7 ounces of almonds with 5 ounces of raisins.” How many batches would there be if you have 250 ounces of raisins?

Answers

Answer:

20.8333333333

Step-by-step explanation:

7 + 5 = 12. 250 divided by 12 equals 20.8333333333 or 20.833... You will have more than 20 and a half batches but you can just say about 21, however needed.

Please help with this

Answers

Answer:

x = 27

Step-by-step explanation:

∠AB is 180° as it is a straight line. Then, we have 3 angles here, 2 known and 1 unknown. These angles have to add up to 180° as they just divide ∠AB into 3 sections. Solve for x with the given information:

[tex]36+90+2x=180\\126+2x=180\\2x=54\\x=27[/tex]

Answer:

x = 27

Step-by-step explanation:

cos135° =

A.√2/2
B.-√2/2
C.-1/2

Answers

we have cos135° = -√2/2

so B is the correct answer

ok done. Thank to me :>

Translate the sentence into an inequality.
A number w increased by 4 is greater than or equal to - 23.

Answers

Answer:

w + 4  ≥  -23

Step-by-step explanation:

"a number w": w

"increased by 4": + 4

"is greater than or equal to":  ≥

"-23": -23

Put the parts of the equation together:

w + 4  ≥  -23

~

Answer: (x + 4) ≥ -23

+3 - (+7)
Can someone help pls!?​

Answers

Answer:

Step-by-step explanation:

+3 - (+ 7) = 3 + (-7) = -4

Both integers have different sign. So, subtract and  the result will have the sign of bigger number. Here bigger number is 7 and sign of 7 is (-). So, answer will be (-4)

i need help: solve (4x^(6))^((3)/(2))

Answers

Answer:

(4x^{(6)})^{(\frac{(3)}{(2)})}

(4x(6))((2)(3))

Step-by-step explanation:

I think that's the answer

I actually don’t understand this can someone please help?

Answers

Answer:

It's proportional when you have a straight line that goes through the origin, meaning (0,0), meaning x = 0 and y = 0, meaning: when x = 0, then y has to be = 0 too! That's obviously not the case here. You can see that the line hit the y axis way above 0. So this graph is not directly proportional to x.

Step-by-step explanation:

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