What is the distance between the points (6, 11) and (3, 1)? If necessary, round
your answer to two decimal places.
A. 109 units
B. 9.43 units
C. 10.44 units
D. 89 units

Answers

Answer 1

Answer:

C.) 10.44030650

Step-by-step explanation:

Answer 2

Answer:

C. 10.44 units

Step-by-step explanation:

Use distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute the values and calculate:

[tex]d=\sqrt{(3-6)^2+(1-11)^2} =\sqrt{(-3)^2+(-10)^2} =\sqrt{9+100} =\sqrt{109} =10.4403[/tex]

Correct choice is C


Related Questions

Factor this completely thank you

Answers

4(2x raise to power 2-4-7x)

Fiill in the table using this function rule. Y=-3x+3

Answers

Answer:

3(x+1)

Step-by-step explanation:

given: AC is parallel to DF, m<1 = m<4
prove: AE is parallel to BF
plz help:(

Answers

Answer:

..

Step-by-step explanation:

Gomenosai

5.prove for kite abcd above that BD bisects both ABC and ADC

6.Given from what we now know from 5, prove that M must be the midpoint of AC​

Answers

The kite is a quadrilateral that has two pairs of equal adjacent sides and

one of equal opposite angles.

5. The two column proof is presented as follows;

Statement [tex]{}[/tex]                            Reason

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AB}[/tex] ≅ [tex]\overline{BC}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{AD}[/tex] = [tex]\overline{CD}[/tex]     [tex]{}[/tex]                           Given

[tex]\overline{AD}[/tex] ≅ [tex]\overline{CD}[/tex]     [tex]{}[/tex]                          Definition of congruency

[tex]\overline{BD}[/tex] ≅ [tex]\overline{BD}[/tex]     [tex]{}[/tex]                          By reflexive property

ΔABD ≅ ΔBDC    [tex]{}[/tex]                   By Side-Side-Side, SSS congruency postulate

∠ABC = ∠ABD + ∠CBD      [tex]{}[/tex]    Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

[tex]\overline{BD}[/tex] is a bisector of  ∠ABC    [tex]{}[/tex] Definition of angle bisector

∠ADC = ∠ABD + ∠CBD      [tex]{}[/tex]     Angle addition postulate

∠ABD ≅ ∠CBD     [tex]{}[/tex]                  CPCTC

∠ABD = ∠CBD     [tex]{}[/tex]                   Definition of congruency

Therefore;

[tex]\overline{BD}[/tex] is a bisector of ∠ADC     [tex]{}[/tex] Definition of angle bisector

CPCTC is the acronym for Congruent Parts of Congruent Triangles are Congruent

6. The two column proof is presented as follows;

Statement [tex]{}[/tex]                          Reason

∠ABD ≅ ∠CBD  [tex]{}[/tex]           CPCTC (question 5)

[tex]\overline{AB}[/tex] = [tex]\overline{BC}[/tex]     [tex]{}[/tex]                  Given

[tex]\overline{BM}[/tex] ≅ [tex]\overline{BM}[/tex]      [tex]{}[/tex]              Reflexive property

ΔABM ≅ ΔCBM      [tex]{}[/tex]      According to Side-Angle-Side, SAS congruency rule

[tex]\overline{AM}[/tex] ≅ [tex]\overline{CM}[/tex]      [tex]{}[/tex]               CPCTC

[tex]\overline{AM}[/tex] = [tex]\overline{CM}[/tex]    [tex]{}[/tex]                  Definition of congruency

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{CM}[/tex]    [tex]{}[/tex]        Segment addition postulate

[tex]\overline{AC}[/tex] = [tex]\overline{AM}[/tex] + [tex]\overline{AM}[/tex] =  2·[tex]\overline{AM}[/tex] [tex]{}[/tex] Substitution property of equality

[tex]\overline{AM}[/tex] = 0.5·[tex]\overline{AC}[/tex]    [tex]{}[/tex]        Division property of equality

M divides [tex]\overline{AC}[/tex] to two   [tex]{}[/tex]  Definition

M is midpoint of [tex]\overline{AC}[/tex]   [tex]{}[/tex]   Definition of midpoint

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According to this diagram, what is sin 23°?
67°
13
5
Сл
23°
90°
12
O A.
13
5
12
O B.
B. 13
12
13
O c.
c.13
O D.
D.
5
13
O E.
13
12
5
OF.

Answers

Using relations in a right triangle, it is found that the sine of 23 degrees is given by:

D. 5/13.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Looking at the graph, the side opposite to the angle of 23º is of 5, while the hypotenuse is of 13, hence the sine is given by:

sin(23º) = 5/13.

Which means that option D is correct.

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Kendrick bought a laundry hamper online. It cost $9 plus 10% shipping and handling. What was the total cost?

Answers

Answer:  $9.90

Work Shown:

10% of $9 = 0.10*9 = 0.90

The shipping cost is $0.90, or 90 cents.

This means the total cost goes from $9 to $9.90

$9.90
9*0.10=0.90
9+0.90=$9.90

The scatter plot shows the relationship between the average number of nightly customers and the number of mouths since a restaurant opened. The equation represents the linear model for this date

y = 5x + 120

what does the number 5 in the equation mean in this context?

A: There were 5 customers per night when the restaurant opened

B: The average number of costumers per night increased by 5 each month

C: The average number of customers per night decreased by 5 each month

D: The restaurant has been open for 5 months

Answers

The average amount of customers every month

5 is also the slope

Which equation represents the statement: Three times the sum of a number and 5 is –30?
3n + 5 = -30
3(n+5) = -30
n + 15 = -30
(n + 5) ÷ 3 = -30

Answers

Answer:

3(n+5)=-30

Step-by-step explanation:

Three times the sum of a number and 5 is - 30

Vocabulary:

times = multiplication, represented with *

sum = addition, represented by +

unknown number = n

Three * the sum of a number and 5

The sum of a number and 5 is the same as saying n + 5

So we are multiplying 3 by n + 5

Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.

So we get 3( n + 5 ) is -30

3(n+5)=-30 is the answer.

Answer:

[tex]3(n+5)=-30[/tex]

Step-by-step explanation:

1. Divide the problem into pieces. The sum of a number and five can be written as [tex]n+5[/tex], where n is any number.

2. Since the question tells us that this sum is multiplied by 3, we expand the expression to [tex]3(n+5)[/tex].

3. Finally, the question tells us that this expression is equal to -30. This means we can express the entire statement as the equation [tex]3(n+5)=-30[/tex].

- A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of
sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter
of 2.5 inches. If all the sorbet melts into the cone, will the cone overflow?

Answers

Answer:

NO

Step-by-step explanation:

A shipment contains 10 igneous, 8 sedimentary, and 8 metamorphic rocks If 8 rocks are selected at random, find the probability that exactly 6 are sedimentary
The probability that exactly 6 of the rocks are sedimentary is
(Round to four decimal places as needed.)

Answers

The probability that exactly 6 are sedimentary is 0.00002

Probability is the likelihood or chance that an event will occur.

Given the total amount of rocks = 10 + 8 + 8 = 26 rocks

If there is a total of 8 sedimentary rocks, the total outcome will be expressed as:

26C8 = 26!/(26-8)!8!

26C8 = 1562275

If exactly 6 are sedimentary are selected out of 8 sedimentary rocks, then the expected outcome is ;

8C6 = 8!/(8-6)!6!

8C6 = 28

Pr(exactly 6 are sedimentary ) = 28/1562275

Pr(exactly 6 are sedimentary ) = 0.000017922

Hence the probability that exactly 6 are sedimentary is 0.00002

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I need answers ASAP

Answers

Answer:

Simplifying

6r + r + -5r = 0

Combine like terms: 6r + r = 7r

7r + -5r = 0

Combine like terms: 7r + -5r = 2r

2r = 0

Solving

2r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Divide each side by '2'.

r = 0

Simplifying

r = 0

7r-5r < this is the answer

6r+r=7r

jelp pls with 2 work pps brainly ​

Answers

Answer:

The underline one is 40.

Missing numbers. 35, 40 45, 50, 55, 60, 65, 70.

Step-by-step explanation:

Add 5 rule

Answer:

5. The tens place.

6. 35, 40, 45, 50, 55, 60, 65.... (And so on)

Step-by-step explanation:

Hoped this helped.

Alyssa is baking a cake the recipe calls for 8 cups of flour she already put in 2 cups how many more cups does she need to add

Answers

You need 6 cups hope that helps

Will the answer to the subtraction problem below be odd or even?
5291 - 4070 = ?

Answers

Answer:

1221

Step-by-step explanation:

here you go ...........

even because the answer is 1221

Eve is going to buy 70 pens from either shop A or shop B.

Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .

What is the difference in cost for all 70 pens between the two shops ?

Answers

Answer:  0.70

Step-by-step explanation: Shop A: 2.20*7=15.40

Shop B: 7 packs with full price and seven with half

So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven

Take sum 9.80+4.90=14.70

So the difference between the two shops is

15.40-14.70=0.70 hope i helped have a good afternoon

A room is 15 feet long and 12 feet wide. A scale drawing of the room is 10 inches by 8 inches. What is the scale of inches in the drawing to inches in the actual room?

Enter the correct answer in the box.

Answers

Answer:

The scale is 1:18 for the entire room, 1 inch in the diagram for 18 inches IRL

Step-by-step explanation:

12 inches = 1 foot

Convert the feet to inches, then divide both sides of the ratio by the # of inches in the diagram

So for length:

10:(15*12)

10:180

1:18

And for width:

8:12(12)

8:144

1:18

Answer:

18 inches

Step-by-step explanation:

The question asks for scale of inches in the drawing and the actual room, so first convert 15 ft and 12 ft into inches.

1 foot= 12in x 1ft= 12 inches

15 feet= 12in x 15ft = 180 inches

12 feet= 12in x 12ft = 144 inches

The room is 180 inches long and 144 inches wide.

To find the scale, set up a proportion to the drawing to the room.

[tex]\frac{10}{8} =\frac{180}{144}[/tex]

You can see that the scale is 18 inches because to get from 180 to 10, you multiply by 18, and the same thing as 8, you would multiply 8 by 18 to get to 144.

What is the slope of the line that has a y-intercept of (0, 6) and passes through the point (2, 8)?

m= ?

Answers

Answer:

m=1

Step-by-step explanation:

[tex]m=\frac{8-6}{2-0} =\frac{2}{2} =1[/tex]

I hope this help you

Use the slope formula AKA rise over run

Y1 - Y2
over
X1 - X2

So for you problem the equation is…

0-2
over
6-8
which equals…

-2/-2 which equals…

1

The slope is 1.

A jet is flying in a direction N 70° E with a speed of 600 mi/h. Find the north and east components of the velocity. Round to two decimal places.

Answers

Using vector concepts, it is found that the components of the velocity are given as follows:

North: 205.21 mi/h.East: 563.82 mi/h.

How can a vector be represented in i and j notation?

Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:

[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]

In which:

i is the horizontal(east/west) component.j is the vertical(north/south) component.

In this problem, we have that the magnitude and the angle are given as follows:

[tex]M = 600, \theta = 70^{\circ}[/tex]

Hence the north component is:

[tex]600\cos{70^{\circ}} = 205.21[/tex]

And the east component is:

[tex]600\sin{70^{\circ}} = 563.82[/tex]

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In what time will $1000 amount to $1331 at 10% per annum, compounded annually?​

Answers

The time is 3 years


Step by step explanation:
Answer:

3 Years

Step-by-step explanation:

Compound interest is a multiplier that affects the new value each time.

If the compound interest is 10% per annum, the multiplier each year is 1.1.

Year 1: $1000 * 1.1 = $1100

Year 2: $1100* 1.1 = $1210

Year 3: $1210* 1.1 = $1331

This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.

Alternatively, you can use a logarithm. The calculation can be written as:

1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.

Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.

Suppose we have a linear equation relating y and x defined by
3y + 9x = 18,
where x is an independent variable and y is a dependent variable. Which of the following is a correct function notation
representation of y?
Select the correct answer below:

Answers

Answer:

  (a)  f(x) = -3x +6

Step-by-step explanation:

Solve for y, then write as a function.

  3y +9x = 18 . . . . . . given

  y +3x = 6 . . . . . . . . divide by 3

  y = -3x +6 . . . . . . . subtract 3x

  f(x) = -3x +6 . . . . . written using function notation

Hey help please math I need help good luck I’ll I’ve point

Answers

Answer:

180 degrees

Step-by-step explanation:

180 degrees would flip the triangle halfway through a full circle. B is A upside down rotated halfway through a full circle.

What would the answer be

Answers

Answer:

B.

Step-by-step explanation:

process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer

. To do the ham số y = 3x - 3

Answers

Step-by-step explanation:

subject arts and architecture what primary

elect all the correct answers.
A group of scientists is conducting an experiment on the effects of media on children. They randomly select 100 children and randomly assign each child to one of four treatment groups. Each treatment group has a specific amount of screen time during a one-week time frame. The first group has no screen time, the second group has two hours of screen time, the third group has four hours of screen time, and the fourth group has six hours of screen time.

After the first week, the scientists conduct the same experiment, with the same subject groups, for three more weeks so that each group experiences each of the four treatments.

Which statements about this study are true?

This study uses blinding.
This study uses blocking.
This study uses a control group.
This study uses a repeated measures design.
This study uses random sampling.

Answers

this study uses random sampling

this study uses a control group

this study uses a repeated measures design ​

plato/edmentum

Answer:

This study uses a control group. This study uses a repeated measures design.

simplify by expressing with radicals n√x^3^n​

Answers

We can work with the exponents to simplify our expression, and we will get:

[tex]\sqrt[n]{x^{3n}} = x^3[/tex]

How to simplify the expression?

Remember that a root of degree n is equivalent to an exponent of 1/n.

This means that we can rewrite a root of degree n as:

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

Then our expression:

[tex]\sqrt[n]{x^{3n}}[/tex]

Can be rewritten as follows.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n}[/tex]

Now we have the exponent of an exponent, that means that we just need to take the product between the two exponents.

Now we can take the product of the exponents to get.

[tex]\sqrt[n]{x^{3n}} = (x^{3n}})^{1/n} = x^{3n*1/n} = x^3[/tex]

You can see that in the third step the exponents n and 1/n cancell eachother, so we end only with the exponent 3.

That is the expression simplified.

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1/5 divided by 2/3 input the answer as a fraction

Answers

Answer:

Three tenths/ 3/10

Step-by-step explanation:

1/5 divided by 2/3 is 0.3 which is equal to 3/10

3/10 is the answer to your question

answer this question fast

Answers

Answer:

corona virus sjuwiwiwoe

Step-by-step explanation:

iaisowowow

Given that X varies directly as Y³ and X = 54, Y = 3. find X 10 Y = 5 what is the relationship between X and Y?​

Answers

Answer:

x=6y3

Step-by-step explanation:

we first find the constant of proportionality where by we say; x= ky3

we're given x = 54

and y = 3

so

54=k(3cubed)

therefore

54= 9k

divide be 9 both sides to get k which is the constant

k=6

now rewrite the equation replacing k with 6

it will be...

X=6Y3

5. Aaron sold 126 boxes of cookies. This is 14 more than twice the
number of boxes his sister, Victoria, sold. How many boxes of
cookies did Victoria sell?

Answers

Answer:

112

Step-by-step explanation:

Aaron = y

Victoria = x

y = 14 +x

126 = 14 + x

x = 112

Victoria sold 112 boxes of cookies

Write a polynomial function with given zeros √8, √10

Answers

Answer:

y = x^2 - (sqrt(8) + sqrt(10))x + sqrt(80)

Step-by-step explanation:

we do y = (x- sqrt8)(x -sqrt10) and simplify

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