Which expression gives the distance between the points (5, 1) and (9,-6)? O A. (5-9)2 + (1+6)2 O B. 15 - 9)2 + (1 - 6)? O C. /15 - 9)2 + (1 +6) OD. (5-9)2 + (1 - 6)?​

Which Expression Gives The Distance Between The Points (5, 1) And (9,-6)? O A. (5-9)2 + (1+6)2 O B. 15

Answers

Answer 1

Answer:

C.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

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 (5, 1)

Point (9, -6)

Step 2: Identify

x₁ = 5, x₂ = 9

y₁ = 1, y₂ = -6

Step 3: 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{(5-9)^2+(1+6)^2}[/tex]
Answer 2

Here,

two points are (5,1) and (9,-6)

So,

x1=5

x2=9

y1=1

y2= -6

we know that,

Distance formula:- [tex]\bold{D=\sqrt{(x_2 - x_1 )^2+(y_2 - y_1)^2} }[/tex]

According to the question,

Distance between (5,1) and (9,-6)

[tex]\bold{D=\sqrt{(5-9)^2+(1-\{-6\})^2} }[/tex]

[tex]\bold{D=\sqrt{(5-9 )^2+(1+6)^2} }[/tex]

so,

option C is correct..


Related Questions

Can anyone help me with these two problems.
I’ll mark you as a brainliest.

Answers

Answer:

0,7. 1,15. 2,23. 3,31. 4, 39. 5,47

Answer:

Step-by-step explanation:

Maria

y= 7, 15, 23, 31, 39, 45, 52,

If each interior angle of a regular polygon measures ​120 , how many sides does the polygon​ have?

Answers

Answer:

the ans is 6 sides i guess

[tex]\huge\sf{Answer :- }[/tex]

Given :-

Each interior angle of regular polygon is 120°

To Find :-

Number of sides of the polygon

Formula :-

Interior angle of the polygon = [180(n - 2)]/n

where,

n = sides of the polygon

Solution :-

Let, The number of sides of polygon be n

By substituting values according to the formula,

➯ [180(n - 2)]/n = 120°

➯ 180n - 360 = 120n

➯ 180n - 120n = 360

➯ 60n = 360

➯ n = 360/60

➠ n = 6

Hence, The regular polygon have 6 sides

hiii please help! i’ll give brainliest if you give a correct answer tysm!

Answers

Answer:

2 1/3 cm

Step-by-step explanation:

Area = length x width

w = width

7/3 = 6/5w

cross-multiply: 30w = 70

w = 7/3 or 2 1/3

What is the constant in the expression -18 - 3a​

Answers

Answer:

'-18' is the constant in the expression -18 - 3a​.

Step-by-step explanation:

We know that in an algebraic expression the constant term has a fixed value and it can not be changed.

For example,

The expression x + 2 contains two terms, x and 2. Here, '2' is a constant term because it has a fixed value and cannot be changed.

IN OUR CASE,

Given the expression

-18 - 3a​

As '-18' is a fixed number and its value can not be changed.

Therefore, '-18' is the constant in the expression -18 - 3a​.

What is the value of x?
D
(x-4)
B
с
E
19
А
F

Answers

Answer:

How are we supposed to know what X is

Step-by-step explanation:

This doesn't make sense emphasize more

Answer:x=23 because 23-4=19 which equals to one side of the triangle

Step-by-step explanation:

Uhmm I got it right :D

PLEASE HELP



The picture below shows a loading platform that extends out 6 feet from the back of a truck. What is the exact length of the platform?​

Answers

Answer:

really easy its 180

Step-by-step explanation:

because you multiply 30 times 6 u get 180

Answer:

5.2 ft

Step-by-step explanation:

[tex] \cos 30 \degree = \frac{6}{length \: of \: platform} \\ \\ \frac{ \sqrt{3} }{2} = \frac{6}{length \: of \: platform} \\ \\ length \: of \: platform = \frac{2 \times 6}{ \sqrt{3} } \\ \\ length \: of \: platform = \frac{12\sqrt{3} }{ 3} \\ \\ length \: of \: platform =4 \sqrt{3} \\ \\ length \: of \: platform =4 \times 1.732 \\ \\ length \: of \: platform = 5.228 \\ \\ length \: of \: platform = 5.2 \: ft[/tex]

–15 = a/5
A. a = –3
B. a = –20
C. a = –10
D. a = –75

Answers

Answer: a = -75

Step-by-step explanation:

i just multiplied both sides by 5, in order to get "a" by itself.

-75 = a

then, just for kicks, we switch it around so that the variable is in front.

a = -75

PLEASE HELP QUICK
4x^2-7x-15 factored completely.

Answers

Answer:

(4x+5)(x-3)

Step-by-step explanation:

You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.

For the expression, select all equivalent expressions from the list.
54y - 24
A. 6(9y - 4)
B. 30y
C. 27y - 12
D.6 x 9y - 6 x 4

Answers

Answer:

the correct answer is A , D

What is the measure, in radians, of central angle POQ? StartFraction 2 pi Over 3 EndFraction radians StartFraction 3 pi Over 4 EndFraction centimeters StartFraction 4 pi Over 3 EndFraction radians StartFraction 3 pi Over 2 EndFraction radians

Answers

Answer:

The answer is "[tex]\bold{\frac{2 \pi}{3}}[/tex]"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

[tex]\to \bold{\theta = \frac{S}{r}}[/tex]

Where,

[tex]\theta =central \ angle \\\\{S} = arc \ length\\\\{r} = radius \ length[/tex]

[tex]\to \theta = \frac{PQ }{OQ}[/tex]

       [tex]=\frac{6 \pi}{9} \\\\ = \frac{2 \pi}{3}[/tex]

The radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.

Line segments PO and QO are radii.

We need to find the radian measure of central angle POQ.

How to find the relation between angle subtended by the arc, the radius and the arc length?

[tex]2\pi^c = 360^\circ = \text{Full circumference}[/tex]

The superscript 'c' shows angle measured is in radians.

If the radius of the circle is of r units, then:

[tex]1^c \: \rm covers \: \dfrac{circumference}{2\pi} = \dfrac{2\pi r}{2\pi} = r\\\\or\\\\\theta^c \: covers \:\:\: r \times \theta \: \rm \text{units of arc}[/tex]

We know that

π radians = 180°

Therefore,

180° = π radians

135° = x

180° × x = 135° × π radians

x = 135° × π radians/180

x = 3π/4 radians

Hence, the radian measure of central angle POQ is 3π/4 radians. Option b) is the correct option.

Learn more about angle, arc length relation here:

https://brainly.com/question/15451496

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What is the value of the expression below? 5+2(10 + 5)​

Answers

U would do 10+5 first then u would do 5+2 so 15+7 =22
The answer is 22. PEMDAS = Parentheses first, so you add 10 + 5 = 15. Then you add 5+2 = 7, = 22.
Or if you’re multiplying it would be 15 x 7

3(2+5)−5(3)+8=
Evaluate

Answers

The answer is 14.
You’d evaluate using PEMDAS

Answer:

3(2+5)−5(3)+8=14

Step-by-step explanation:

Write the problem as a mathematical expression.

=>3(2+5)−5⋅3+8

Simplify each term.

=>21−15+8 = 14

Evaluate the expression when g=7 and h= 5 8h + g

Answers

Answer: 47

Step-by-step explanation:

we simply substitute g for 7 and h for 5.

8(5) + 7

40 + 7

47

The answer is 47

8(5)+7
40+7
47

Which equation is equivalent to 8x + 2y = 10?

Answers

Answer:

y=-4x+5

Step-by-step explanation:

8x+2y=10

2y=10-8x

divide by 2

y=5-4x

y=-4x+5

Help please!!!!!!!! I need help with this ASAP!

Answers

9514 1404 393

Answer:

  2.89 m

Step-by-step explanation:

The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.

The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...

  Sin = Opposite/Hypotenuse

  sin(12°) = (0.6 m)/(PR)

  PR = (0.6 m)/sin(12°) ≈ 2.886 m

  PR ≈ 2.89 m

The distance to the subject is about 2.89 meters.

solve for x 2|x|+5=11

Answers

Answer:

Solve for x over the real numbers:

abs(x) = 3

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

Answer: x = 3 or x = -3

Step-by-step explanation:


Simplify the expression by combining like terms: 5w - W - 16

Answers

Answer:

4w-16

Step-by-step explanation:

the only like terms in this equation are the w, so subtract them and you get 4w-16.

there are 60 people in a choir
half of the people in the choir are women
the number of women in the choir is 3 times the number of men in the choir
the rest of the people in the choir are children
the number of children in the choir :the number of men in the choir =n:1
work out the value of n

Answers

Answer:

The value of n is 2.

Step-by-step explanation:

The total number of people in the choir = 60

Number of  women in the choir = 30

Let the number of men in the choir be represented by x, so that;

Number of women = 3x

So that;

3x = 30

x = [tex]\frac{30}{3}[/tex]

 = 10

The number of men in the choir is 10.

the number of children in the choir: the number of men in the choir = n:1

number of children in the choir = 60 - (number of women + number of men)

                                                    = 60 - 40

                                                    = 20

number of children in the choir = 20

Thus,

the number of children in the choir: the number of men in the choir = 20:10

                                                            = 2:1

The value of n is 2.

Answer:

20 men in the choir and 40 children

Step-by-step explanation:

GIVING BRAINLIEST!! Please answer.
if x ∆ y means x/y - x^2, then the value of 2/3 ∆ 4/5 is,
a)7/18 b)14/25 c)4/45 d)34/45 e)29/150

Answers

Answer:

a) 7/18

I hope this helps!

When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?

Answers

Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

12.
School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaperones must there be for 53 students?

2 chaperones

27 chaperones

5 chaperones

4 chaperones

Answers

Answer:

6

chaperones will be needed.

Step-by-step explanation:

1 to 25 students require (at least) 2 chaperones.

26 to 50 students require (at least) 4 chaperones.

51 to 75 students require (at least) 6 chaperones.

This is an example of use of the ceiling function.

The ceiling of a value  

x

(sometimes written as  

x

) is defined as the smallest integer greater than or equal to  

x

.

In the given example we are asked for

XXX

2

×

53

25

XXXXXXXXX

which is  

6

Answer:

Correct answer is 5

Step-by-step explanation:

2 chaperones are needed per 25 kids, there are 53 kids so 25+25=50 so 4 chaperones there, and there is an odd number so just add 1 and you got 5:)

An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?

x3 feet
5 + 11x2 feet
5x2 + 11 feet
5x3 + 11x5 feet

Answers

Answer:

The correct answer is D: 5x3 + 11x5 ft

Step-by-step explanation:

Answer:

The correct answer is D: 5x3 + 11x5 ft

Step-by-step explanation:

answer please
.........​

Answers

Hey there!

The perimeter of the floor plan is 30 inches.

Perimeter is length + length + width + width, so we can do 9 + 9 + 6 + 6 = 30

The area of the floor plan is 54 inches²

Area is length x width, so we can do 9 x 6 = 54

The perimeter of the actual size is 105 feet

First, we can solve the dimensions for the actual size. We know that 2 inches = 7 feet, so we can do 7/2 and get 3.5. This means that for every 1 inch, it's 3.5 feet. Then, we multiply the dimensions by 3.5:

9 x 3.5 = 31.5 feet

6 x 3.5 = 21 feet

Then we solve for perimeter. Perimeter is length + length + width + width, so we can do 31.5 + 31.5 + 21 + 21 = 105

The area of the actual size is 661.5 inches²

Area is length x width, so we can do 31.5 x 21 = 661.5

Hope this helps! Tell me if you need more help.

Please Help! Freshman in high-school Algerbra 1​

Answers

Answer:

yes

Step-by-step explanation:

0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof

Multiply 2ab(−a+2b+3).

−2a2b+4ab2+6ab

8a2b2

−2a +2ab+3b

8ab

Answers

Answer:

−2a2b+4ab2+6ab

Step-by-step explanation:

i took the test

Thanks to the rise of texting, emojis are becoming increasingly common. What does this suggest about graphics?

Question 2 options:

They are now a significant part of communication.


They are only used by young people in our society.


They will replace written language entirely one day.


They serve the exact same function as medieval illustrations.
PLEASE IM BEING TIMED

Answers

Answer:

A. They are now a significant part of communication

Step-by-step explanation:

take care

Can anybody help me with this one

Answers

9514 1404 393

Answer:

  A(-8, 6), D(-1, -16), E(17, -3)

Step-by-step explanation:

Any point with an x-value that matches any of {-8, -1, 5, 15, 17} will prove Mariela's claim incorrect. (A function cannot use an x-value more than once.)

Those points are ...

  (-8, 6), (-1, -16), (17, -3)

Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins, how many of each type does she have?

Answers

Answer:

[tex]73\:\mathrm{dimes},\\35\:\mathrm{nickels}[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}10d+5n=905,\\d+n=108,\\\end{cases}[/tex], where [tex]d[/tex] is the number of dimes she has and [tex]n[/tex] is the number of nickels she has.

Multiply the second equation by [tex]-5[/tex] and add both equations to solve for [tex]d[/tex]:

[tex]\begin{cases}10d+5n=905,\\-5d-5n=-540,\\\end{cases}\\5d=365,\\d=\fbox{$73$}[/tex].

Plug [tex]d=73[/tex] into any equation to solve for [tex]n[/tex]:

[tex]73+n=108, \\n=\fbox{$35$}[/tex]

There are 73 dimes and 35 nickels.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Ashley has $9.05 in dimes and nickels. If she has a total of 108 coins,

dime = 10

A nickel = 5

We can write the following system of equations;

10D + 5N = 905

N + D = 108 coins

where D is the number of dimes she has and  N is the number of nickels she has.

Multiply the second equation by -5  and add both equations to solve for :

10D + 5N = 905

-5N -5 D = -540 coins

Use the Distributive Property:

Add the like terms:

5D = 365

Divide both sides by 5

D = 73

Plug  D into any equation to solve for N

Nickels = 108 - 73 = 35

There are 73 dimes and 35 nickels.

Learn more about equations here;

https://brainly.com/question/10413253

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Its pretty easy if you are good at math! Please help!

Answers

Step-by-step explanation:

Explanation:

The trick is to know about the basic idea of sequences and series and also knowing how i cycles.

The powers of i will result in either: i, −1, −i, or 1.

We can regroup i+i2+i3+⋯+i258+i259 into these categories.

We know that i=i5=i9 and so on. The same goes for the other powers of i.

So:

i+i2+i3+⋯+i258+i259

=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)

We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.

=65(i)+65(i2)+65(i3)+64(i4)

From here on out, it's pretty simple. You just evaluate the expression:

=65(i)+65(−1)+65(−i)+64(1)

=65i−65−65i+64

=−65+64

=−1

So,

i+i2+i3+⋯+i258+i259=-1

What is the value of x in cm

Answers

Answer:

13.5

Step-by-step explanation:

look at the bottom and line it up to the top

Answer
13.5
Explanation
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