Find the distance between the pair of points. Round your answer to the nearest tenth if necessary.

Find The Distance Between The Pair Of Points. Round Your Answer To The Nearest Tenth If Necessary.

Answers

Answer 1

Answer:

The distance between the pair of points is 12.0 (to the nearest tenth)

Step-by-step explanation:

The distance between a pair of points in a coordinate system is found by the formula:

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

where, the points are:

[tex](x_1,y_1)\ and\ (x_2,y_2)[/tex]

From the graph,

[tex](x_1,y_1)=(-6,-2)\\(x_2,y_2)=(2,7)[/tex]

Substitute the points into the formula:

[tex]d=\sqrt{(2-(-6)^2+(7-(-2)^2} \\d=\sqrt{(2+6)^2+(7+2)^2} \\d=\sqrt{8^2+9^2} \\d=\sqrt{64+81} \\d=\sqrt{145} \\\d=12.0[/tex]


Related Questions

Jessica, an experienced bungee jumper, leaps from a tall bridge and falls toward the river below. The bridge is 200 feet above the water and Jessica's bungee cord is 130
feet long unstretched. When will Jessica's cord begin to stretch? Round your answer to two decimal places

Answers

Answer:

70 feet above the water will it begin to stretch.

Step-by-step explanation:

200 - 130 = 70

Add. Simplify the answer

Answers

Answer:

[tex]4g^{2}h-12gh^{2}-9gh[/tex]

Copy and paste version:

4g^2h-12gh^2-9gh

Step-by-step explanation:

[tex](4g^{2}h-gh-9gh^{2})+(8gh-3gh^{2})=\\4g^{2}h-gh-9gh^{2}+8gh-3gh^{2}=\\4g^{2}h-9gh-12gh^{2}=\\4g^{2}h-12gh^{2}-9gh[/tex]

Answer:

4g^2h-12gh^2-9gh

Step-by-step explanation:

What is the 8th number in the arithmetic sequence 26, 31, 36, 41, 46...

Answers

Answer 61

Step-by-step explanation:

The answer is 61 bc the pattern is +5

Answer:

26, 31, 36, 41, 46, 51, 56, 61

the eighth number is 61.

Step-by-step expanation:

Will give brainliest!

Answers

Answer:

the area!!!

Step-by-step explanation:

2(a+b)h

to find b you have to know the base of the triangle. you may use pythagoras' theorem for that. you will then get 5ft as the base.

5ft + 48ft = 53ft.

put in the formula, the area is then

2(48+53)*13

am not with a calculator.... so sort it out....

I think you can get the rest with this...

-31+(-42)=
38+(-43)=

Answers

Answer:

-31+(-42)= -31-42 = -73

38+(-43)= 38-43 = -5

(-) - (-) = +

(-)+(-) = +

(-)+(+) = -

express 8% as a decimal fraction​

Answers

Hello :D

The answer is 0.08

I hope this helps :)

10. The product of two integers is -18. The difference between the integers is 9. The sum of the
integers are 3. What are the two integers?

Answers

Answer:

x = 6

y = - 3

Step-by-step explanation:

x * y = - 18

x - y = 9. 3-y-y = 9. 3 -2y = 9.

-2y = 9-3

y = 6/-2

y = -3

x + y = 3. x = 3-y

x * -3 = - 18

x = -18/-3

x = 6

step by step explaining
how to multiply 2 digit number to 2 digit number..

Answers

Line the numbers up by place value. Regroup 12 into 1 ten and 2 ones. Add the 1 ten you regrouped. Because the 2 represents tens, the numbers will start in the tens column.
Hope this helps

If I have 500 and have a 6% annual interest how long will it take to get 2000

Answers

Answer:

23.8 years

Step-by-step explanation:

Assuming this is compound interest, we'll use the compound interest formula

A = P(1 + r)ⁿ

A = Final amount (2000)

P = Initial amount (500)

r = Annual interest rate (.06)

n = ?

Our equation will look like this

2000 = 500(1.06)ⁿ

First, divide both sides by 500

2000/500 = (500(1.06)ⁿ)/500

(1.06)ⁿ = 4

Then we have to take the log₁.₀₆ out of both sides

n = log₁.₀₆(4)

n = 23.79132

Solve the following system of equations, using any method. Express your answers in one decimal place.

Answers

Answers:

x = 0y = 6.9

The value of x is exact. The y value is approximate.

==================================================

Explanation:

Let's subtract the equations straight down.

The x terms subtract to -22x  since 9x-31x = 22xThe y terms go away because 7y-7y = 0The terms on the right hand side subtract to 0

After doing those three sets of subtractions, we have the new equation -22x = 0. This solves to x = 0 after dividing both sides by -22.

Plug this x value into any of the two original equations to solve for y

9x + 7y = 48

9(0) + 7y = 48

7y = 48

y = 48/7

y = 6.857 approximately

y = 6.9

a community center is trying to raise $1680 to purchase exercise equipment. the center is hoping to receive equal contributions from members of the community. write and algebraic expression to determine how much will be needed from each person if n people contribute. Then evaluate the expression for 10, 12, 14, or 16 people.

Answers

Lets find f(n) formula

[tex]\boxed{\sf f(n)=\dfrac{1680}{n}}[/tex]

Now

[tex]\\ \sf\longmapsto f(10)=\dfrac{1680}{10}=168[/tex]

[tex]\\ \sf\longmapsto f(12)=\dfrac{1680}{12}=140[/tex]

[tex]\\ \sf\longmapsto f(16)=\dfrac{1680}{16}=105[/tex]

[tex]\\ \sf\longmapsto f(14)=\dfrac{1680}{14}=120[/tex]

What is the next term in the geometric sequence? 1,4,-16,64

Answers

Answer:

256

Step-by-step explanation:

1,4,16,64,256

As 4 is being multiplied in each case.

how to round 11,295 to the nearest ten thousand?

Answers

you round it by looking at the number at the left, if it is higher then 5 it would be 12,000 but if it’s lower then 5 it would be 10,000

2. The equation of a circle is x2 + y2 – 4x + 6y – 77 = 0.
a) Find the x-coordinates of the points A and B where the circle intersects the x-axis.
b) Find point of intersection of the tangents to the circle at A and B.​

Answers

a) The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].

b) The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].

a) In this part we simplify the equation of the circle and solve for [tex]x[/tex] to determine the coordinates associated to the required points:

The coordinates of the two points so that circle intersects the x-axis, occurs when the following condition is met:

[tex]f(x, 0) = 0[/tex] (1)

Where [tex]f(x,y)[/tex] is in implicit form.

If we know that the equation of the circle is [tex]x^{2} + y^{2} - 4\cdot x + 6\cdot y - 77 = 0[/tex] and [tex]y = 0[/tex], then the reduced equation is:

[tex]x^{2} - 4\cdot x - 77 = 0[/tex] (2)

And we obtain the x-coordinates of the points by factoring (2):

[tex](x-11) \cdot (x + 7) = 0[/tex]

The x-coordinates of the points A and B are [tex]x_{A} = 11[/tex] and [tex]x_{B} = -7[/tex].

b) Lines are defined by both slope and intercept. Slope is defined by implicit differentiation and intercept is found by equation of the line.

Given that [tex]A(x,y) = (11, 0)[/tex] and [tex]B(x,y) = (-7, 0)[/tex], we determine line equations corresponding to each tangent line:

Slope

[tex]2\cdot x + 2\cdot y \cdot \dot y - 4 + 6\cdot \dot y = 0[/tex]

[tex](2\cdot y + 6)\cdot \dot y = 4 - 2\cdot x[/tex]

[tex]\dot y = \frac{2 - x}{y + 3}[/tex]

Point A

[tex]\dot y = \frac{2-11}{0 + 3}[/tex]

[tex]\dot y = -3[/tex]

Point B

[tex]\dot y = \frac{2-(-7)}{0 + 3}[/tex]

[tex]\dot y = 3[/tex]

Intercept

Point A ([tex]A(x,y) = (11, 0)[/tex], [tex]\dot y = -3[/tex])

[tex]b = y - m\cdot x[/tex]

[tex]b = 0 - (-3)\cdot (11)[/tex]

[tex]b = 33[/tex]

Point B ([tex]B(x,y) = (-7, 0)[/tex], [tex]\dot y = 3[/tex])

[tex]b = y - m\cdot x[/tex]

[tex]b = 0 - 3\cdot (-7)[/tex]

[tex]b = 21[/tex]

The equations of the lines tangent to the circle are:

[tex]y = -3\cdot x +33[/tex] (3)

[tex]y = 3\cdot x +21[/tex] (4)

The point of intersection is the solution of this system of linear equations:

[tex](x,y) = (2, 27)[/tex]

The point of intersection of the tangents to the circle at A and B is [tex](x,y) = (2, 27)[/tex].

We kindly invite you to see this question on circles: https://brainly.com/question/23988015

Simplify 3(8x+2y)
A. 30x+y
B. 24x+2y
C. 24x+6y
D. 30xy

Answers

Answer:

The choose C. 24x+6y

Step-by-step explanation:

[tex]3(8x + 2y) = 24x + 6y[/tex]

I hope I helped you^_^

After a 90% reduction, you purchase a new clothes dryer on sale for $62. What was the original price of the clothes dryer?

Answers

Answer:

$7.20

Step-by-step explanation:

First, we would have to find out how much to subtract from $62.

We need to multiply 90% and 62 or 0.9 x 62

When we finish this equation we get 54.8, which is what we need to subtract from 62 to see what 90% off is.

62 - 54.8 = 7.2, so therefore our answer is $7.20

If x = 2 , y = 3 and z = 4 , find the value of y2 Z2 -x2​

Answers

Answer:

y²z²-x²

3*3*4*4-2*2

3*16-4

48-4

44

Step-by-step explanation:

* means multiply

Answer:

[tex]here \: we \: want \: to \: find \: {x}^{2} {y}^{2} {z}^{2} \\ x = 2 \\ y = 3 \\ z = 4 \\ then \: {2}^{2} \times {3}^{2} \times {4}^{2} \\ = 4 \times 9 \times 16 \\ = 36 \times 16 \\ = 576 \\ thank \: you[/tex]

Multiply.
-0.5•(-0.4)
...
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. -0.5•(-0.4)
B. The expression is undefined

(Someone please answer)

Answers

Answer:

-0.2 I think .......................

Answer the question please

Answers

Answer:Perimeter: 99.4 feetArea: 609.4 feet^2Step-by-step explanation:Perimeter:

To find the perimeter of a rectangle, you add up 2 times the length and 2 times the width. Here's the expression: [tex]2l+2w[/tex]. In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]2l+2w=99.4[/tex]. [tex]22*2=44. \\27.7*2=55.4[/tex].

Area:

To find the area of a rectangle, you multiply the length by the width. Here's the expression: [tex]lw[/tex].  In this case l=22 or l=27.7 and w=27.7 or w=22. In the end, you get: [tex]22*27.7=609.4[/tex].

Side note:

It doesn't matter what l or w equal because There's a property in addition that says it doesn't matter which order the values go in. There's also a property in multiplication that it doesn't matter which order the values go in (same as addition).

is 2π greater than √44

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

2π ≈ 6.28

√44 ≈ 6.63

  2π < √44

Ana sold $234,654 in sales. She earns a 14.5% commission on all sales. Find her commission.

Answers

Step-by-step explanation:

$334,654 ×14,5% = $34,024.83

therefore that is your answer

20 points help quick

Answers

Answer:

6s-36 is the answer . Hope this helps you.

Answer:

6(x-6) = 6x-36

Step-by-step explanation:

what is 174 dived by 6 and how u solved it

Answers

Answer:

Step-by-step explanation:

187 divided by 7 is 6.5

Answer: 29

Step-by-step explanation:

174 = dividend

6 = divisor

The divisor (6) goes into the first digit of the dividend (1), 0 time(s). Therefore, put 0 on top Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend. Subtract the result in the previous step from the first digit of the dividend (1 - 0 = 1) and write the answer below.

Move down the 2nd digit of the dividend (7) like this:

0

6 ⟌ 1 7 4

- 0

1 7

Multiply the divisor by the result in the previous step (6 x 2 = 12) and write that answer at the bottom:

0 2

6 ⟌ 1 7 4

- 0

1 7

1 2

Subtract the result in the previous step from the number written above it. (17 - 12 = 5) and write the answer at the bottom.

0 2

6 ⟌ 1 7 4

- 0

1 7

- 1 2

5

Move down the last digit of the dividend (4) like this:

0 2

6 ⟌ 1 7 4

- 0

1 7

- 1 2

5 4

Multiply the divisor by the result in the previous step (6 x 9 = 54) and write the answer at the bottom:

0 2 9

6 ⟌ 1 7 4

- 0

1 7

- 1 2

5 4

5 4

Subtract the result in the previous step from the number written above it. (54 - 54 = 0) and write the answer at the bottom.

0 2 9

6 ⟌ 1 7 4

- 0

1 7

- 1 2

5 4

- 5 4

0

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 174 divided by 6 calculated using Long Division is:

29

0 Remainder

Its long but your welcome :)

How do you get 2.5 out of 20/8

Answers

9514 1404 393

Explanation:

If you can't operate a calculator, perhaps you can do long division. The attachment shows the work for that.

__

  [tex]\dfrac{20}{8}=\dfrac{5\cdot4}{2\cdot4}=\dfrac{5}{2}\\\\=\dfrac{5\cdot5}{2\cdot5}=\dfrac{25}{10}=2.5[/tex]

We assume that you know dividing by 10 moves the decimal point one place left.

At the 2010 Olympics in Vancouver, Yu-Na Kim scored 226.56 points in woman's figure skating. Akiko Suzuki scored 181.44 points in the event. About how many more points did Yu-Na Kim score than Akiko Suzuki?

Answers

Answer:

5 more matches was won by yu-na kim

The relative frequency table below displays the proportion of 40 residents in an apartment complex who prefer certain social media sites.

Upstart, 0.10; Aster, 0.25; Babble, 0.35; Techy, 0.30.

Which of the following is the corresponding frequency table?

Upstart, 10; Aster, 25; Babble, 35; Techy, 30.
Upstart, 8; Aster, 12; Babble, 10; Techy, 10.
Upstart, 4; Aster, 14; Babble, 10; Techy, 12.
Upstart, 4; Aster, 10; Babble, 14; Techy, 12.

Answers

Answer:

D

Step-by-step explanation:

multiply each number by 40

ex:

.10x40=40

Answer:d

Step-by-step explanation:

Someone please help me.

This pool has a deep end and a shallow end.The pools perimeter is 70 ft.Hiw wide is the deep end,d?​

Answers

Answer:  16 feet

Work Shown:

L = d+9 = length along the horizontal

W = 10 feet = width along the vertical

P = 2(L+W) = perimeter of rectangle = 70 feet

70 = 2(d+9+10)

70/2 = d+19

35 = d+19

d+19 = 35

d = 35-19

d = 16

The deep end is 16 feet wide

Please someone help

Answers

[tex]\begin{array}{l}\begin{cases} \begin{array}{l}\sin \alpha =\frac{x}{12} \Leftrightarrow x=12\sin \alpha \end{array}\\\cos \alpha =\frac{y}{12} \Leftrightarrow y=12\cos \alpha \end{cases}\\\\\text{Thus,\ the\ area\ is}\\\\A=\frac{xy}{2} =\frac{12\sin \alpha \cdotp 12\cos \alpha }{2}\\\\\Longrightarrow A=72\sin \alpha \cos \alpha \end{array}[/tex]

D

6 + [-25 = (-3 + 2. 1)]

Answers

Answer:

6+[25=(-0.9)]

6+[-22.5]

-16.5

Step-by-step explanation:

the answe of this question will be -16.5

Simplify the expression. 10 (n^2+ n) - 6 (n^2 - 2)

Answers

10(n²+n)-6(n²+2)10n²+10n-6n²-1210n²-6n²+10n-124n²+10n-12

please mark this answer as brainlist

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