Find the distance between each pair of points. Round to the nearest tenth if necessary.
(-3, 6) (2,1)

Answers

Answer 1

Answer:

The distance between the two points is about 7.1 units.

Step-by-step explanation:

We want to find the distance between the two points (-3, 6) and (2, 1).

To find the distance between any two points, we can use the distance formula:

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

Let (-3, 6) be (x₁, y₁) and (2, 1) be (x₂, y₂). Substitute:

[tex]\displaystyle d=\sqrt{((2)-(-3))^2+((1)-(6))^2}[/tex]

Simplify:

[tex]\displaystyle d=\sqrt{(5)^2+(-5)^2}[/tex]

Evaluate:

[tex]d=\sqrt{25+25}=\sqrt{25(2)}=5\sqrt{2}\approx 7.1\text{ units}[/tex]

The distance between the two points is about 7.1 units.


Related Questions

Please help me ASAP! and thank you

Answers

Answer:

214°

Step-by-step explanation:

Full circle measure = 360°

Measure of arc AB = 146° (central angle has the same measure as measure of intercepted arc)

Therefore:

Measure of arc ACB = 360° - arc AB

Measure of arc ACB = 360° - 146°

= 214°

A triangle has sides measuring 2 inches and 7 inches. If x represents the
length in inches of the third side, which inequality gives the range of possible
values for x?
O A. 5 OB. 2 O C. 2 sxs7
D. 5sxs9

Answers

Answer:

D

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

2x - y when x = 0 and y = -5

Answers

Answer:

5

Step-by-step explanation:

2x - y when x = 0 and y = -5

2(0) - (-5) =

= 0 + 5

= 5

Answer:

5

Step-by-step explanation:

2x-y

2(0)-(-5)

0-(-5)

0+5

5

solve for x in the equation x^2-12+36=80

Answers

Answer:

the answer is given in this picture hope this helps and good luck :)!

Step-by-step explanation:

Step-by-step explanation:

-12x+36 =90

(x-6)² =90

x-6. =+-90

x. =6+-90

x. =6+-9×10

x. =6+-310

so the answer is first option

Solve for x. Round to the nearest tenth of a degree, if necessary

Answers

Step-by-step explanation:

here's the answer to your question

Which phase best describes the transition from the graph y=2x^2 to the graph of y2x^2+5?
A. 5 units up
B. 5 units down
C. 5 units right
D. 5 units left?

Answers

Answer:

Anything after x determines if it goes up since it's a positive 5 it's 5 units up

Helppppp and explain pls and thankyouuu

Answers

Answer:

x=1

y= -1

z=2

Step-by-step explanation:

x+y+z=2 and x-y-2z=6

if z=2 then

x+y+2=2 and x-y+4=6

and these become

x+y=0 and x-y=2

usign linear cancellation method we get

2x=2

dividing both sides by 2 we get

x=1

then going back to one of the original equations and plugging x=1 and z=2 we get

1+y+2=2

solving for y we get

y= -1

PICTURE INCLUDED NEED HELP!

Answers

Answer:

B

Step-by-step explanation:

7x root2 + x root 2 =8x root 2 and you just add the -4 root 2 on

Answer= B

Alan's and Mary's incomes are modeled in the graph. Which part of the graph indicates that Mary's income is greater than Alan's?

Answers

Answer:

In the 18th year

Step-by-step explanation:

What is the smallest 6 digit palindrome that is divisible by 99


I've been trying for 3 hours and I still cant figure it out PLEASE help.

Answers

Answer:

108801

Step-by-step explanation:

6-digit palindrome is the number n the form of:

xyzzyx

This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):

x + z + y = y + z + x

Now, in order to be divisible by 99, the number must be divisible by 11 and 9.

According to divisibility rule by 9 the sum of all digits must be divisible by 9. You can see In our case we need to have (the minimum):

x + y + z = 9

The smallest number we could get is when x is minimum, y is minimum, so:

x = 1, y = 0, then y = 8

The number we get is:

108801

Proof:

108801/99 = 1099

Hello,

Let's assume n the palindrome

[tex]n=\overline{abccba}\\\\Since\ 99=9*11:\\\\the \ smallest\ \Longrightarrow \ a=1\\\\a+b+c+c+b+a=9*k\ ,\ k\in \mathbb{N}\\2*(a+b+c)=9*k\ \Longrightarrow \ k\in 2\mathbb{N} , \ : k=2\\\\1+b+c=9 \Longrightarrow \ b=0\ and\ c=8\\\\n=108801\\\\Proof:\\108801=9*12089 =11*9891\\Nota\ bene:(a+c+b)-(b+c+a)=11*p \Longrightarrow \ 0=11*p \Longrightarrow \ p=0[/tex]

What is the inverse of the function f(x)
-x + 2?
q
O h(x) = 18x - 2
h(x) = 9x - 18
O h(x) = 9x + 18
® h(x) - 18x + 2

Answers

Answer:

[tex]h(x)= 9x - 18[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Required

The inverse

[tex]f(x) = \frac{1}{9}x + 2[/tex]

Replace f(x) with y

[tex]y = \frac{1}{9}x + 2[/tex]

Swap x and y

[tex]x = \frac{1}{9}y + 2[/tex]

Subtract 2

[tex]x - 2= \frac{1}{9}y[/tex]

Multiply 9

[tex]9x - 18 = y[/tex]

Rewrite as:

[tex]y = 9x - 18[/tex]

So:

[tex]h(x)= 9x - 18[/tex]

Can ya’ll help me out

Answers

Answer:

Step-by-step explanation:

[tex]volume of cone=\frac{1}{3} \pi r^2h\\=\frac{1}{3} \pi (4)^2 \times 3\\=16 \pi \\\approx 50 in^3[/tex]

Answer:

answer is C 50 in³are you fine with it

which of the following must be true to prove Δ ABC≅Δ DEF by the AAS theorem?
A. C∠≅∠F
B. ∠B≅∠E
C. ∠E≅∠F
D.∠B≅∠C

Answers

Answer:

b must be because the therom is aas so

Answer:

B is answer

Step-by-step explanation:

just did it

Help,anyone can help me do quetion,I will mark brainlest.​

Answers

Answer:

c) 25 cm^2

d) 52.5 cm^2

Step-by-step explanation:

5*2 = 1

10/2 = 5

40/2 = 20

20+5 = 25

This is just scratch work^

x + y = 15
5x - y = 9
Elimination method

(4, ? )

what number is the ?​

Answers

The ? Is 11.


You add the equations to get rid of one variable, then you have 6x=24 then you divide both sides and you have x=4, then you substitute the given value of x and you are left with 5*4 - y = 9. And the solution or well possible solution is y = 11 which gives youuuuu. (x , y) = (4 , 11)
4 + y = 15....1
20 - y = 9.....2

....1*5
20 + 5y = 75....3

....3 - .....2
4y = 60
y = 15

the answer for (?) is 15
i’m not sure if this 100% correct but i’m trying my best to help you

what shape is this cause I'm having a bit of trouble?​

Answers

Answer:

isn't that a square or is it called sum eles-

Step-by-step explanation:

I think that’s a square because it has 4 equal sides

Aditi has $50.00 in her wallet. She buys a shirt for $12.00 and also wants to buy some bracelets that are on sale for $0.60 each. The inequality below relates x, the number of bracelets she can buy, with her shirt purchase and the money in her wallet.
what is the greatest number of bracelets she can buy?

Answers

The greatest number of bracelets she can buy is 63
It’s 63 , because when you subtract 50-12 you get 38, and then when you divide 38 into .60 you get 63.333... and you can’t buy a .33 of a bracelet so it’s going to be 63.

What is the slope of the graph?

Answers

Answer:

I believe it is 1, I might be wrong.

Step-by-step explanation:

Two points on the graph are (1,2) and (2,3)

The first set has variables of x1 and x2 the second has variables of y1 and y2.

The formula is y2 - y1/x2 - x1

Put in the values and you get 2 - 3/2-1.

You would get 1/1, which is equivalent to 1.

What value of x makes this equation true?
3( 1/2x+4)= 2x+2

Answers

3(1/2x +4) = 2x +2

Use distributive property by multiply 3 by each term on the left side:

3/2x + 12 = 2x + 2

Subtract 12 from both sides:

3/2x = 2x -10

Subtract 2x from both sides:

-1/2x = -10

Multiply both sides by -2:

x = 20

Answer: x = 20

Suppose that the scores on a statewide standardized test are normally distributed with a mean of 64 and a standard deviation of 2. Estimate the percentage of scores that were (a) between 60 and 68.

Answers

Answer:

95. 45%

Step-by-step explanation:

Given :

Mean score, = 64

Standard deviation = 2

Score between 60 and 68

P(Z < (x - mean) / standard deviation)

P(Z < (60 - 64) / 2) = P(Z < - 2) = 0.02275 (Z probability calculator)

P(Z < (68 - 64) / 2) = P(Z < 2) = 0.97725 (Z probability calculator)

P( score between 60 and 68)

P(Z < 2) - P(Z < - 2)

0.97725 - 0.02275 = 0.9545

Score between 60 and 68 = 0.9545 = 0.9545 * 100% = 95.45%

For 12-15, find the missing measures

Answers

Answer:

12. d= 14, C=14π, A=49π

13. r= 13, d=26, A=169π

14. r=9, C=18π, A=81π

15. r=10, d=20, C=20π

Step-by-step explanation:

Assume the equation has a solution for z.
-cz+ 6z = tz + 83
z=?​

Answers

Answer:

z = 83 / (- c + 6 - t)

Step-by-step explanation:

Given:

-cz+ 6z = tz + 83

z=?​

-cz+ 6z = tz + 83

Collect like terms

-cz+ 6z - tz = 83

Factorize

z(- c + 6 - t) = 83

Divide both sides by (- c + 6 - t)

z(- c + 6 - t) / (- c + 6 - t) = 83 / (- c + 6 - t)

z = 83 / (- c + 6 - t)

Answer:

Step-by-step explanation:

4.5hour into second

Answers

Step-by-step explanation:

4 .5 ×60min

4.5×60×60sec

16200 sec

1 hour -3600 sec                                                                                                    4,5 hoer - x sec                                                                                                         x=4,5* 3600=45*360=16200 sec                                                                     Answer: 4,5 hour = 16200 sec

Help pleaseeeee
Asappp

Answers

Answer:

Rs. 2400

Step-by-step explanation:

.25(x -.1x) = 540

(x -.1x) = 2160

(.9x) = 2160

x = 2400

Step-by-step explanation:

hope this helps you 830.77

These points are linear. Find
the slope.
x1234 5/6
y 0 48 12 16 20

Answers

Answer:

m = 4

Step-by-step explanation:

The slope for the linear points is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have,

y₂ = 4, y₁ = 0, x₂ = 2, x₁ = 1

Putting all the values,

[tex]m=\dfrac{4-0}{2-1}\\\\\implies m=\dfrac{4}{1}\\\\m=4[/tex]

So, the slope of the line is equal to 4.

Jessie spent $10 on 3 hair accessories. Which point represents this relationship?
x
y
0
0
15
3
30
6

Assuming there is a proportional relationship, which additional set of values could be included in the table?

Answers

Answer: X or 30

Step-by-step explanation:

2.



What is the difference between the lower quartile rainfall of Florida and the lower quartile rainfall of Pennsylvania?

Answers

Answer:

0.5 inches

Step-by-step explanation:

The lower quartile is the value on the left side of the box plot

lower quartile for Florida = 3.5 inches

lower quartile for Pennsylvania = 3 inches

difference = 3.5 - 3 = 0.5 inches

Solve for congruent triangles

Answers

Answer:

11. B.

12. C.

13. A.

14. D.

Step-by-step explanation:

for 11: we know that angles D and J are congruent from the tick marks, we also know that ∠FKD and ∠LKJ are congruent (vertical angles are congruent) therefore we need the sides between them

for 12: we know that ∠STU and ∠TUG are congruent, we also know that line TU is congruent to TU (reflexive property), therefore we need the angles adjacent to the first angles listed.

for 13: we know that ∠PQR and ∠CQR are congruent, we also know that lines RQ and RQ are congruent (reflexive property), therefore we need the other angles to which line RQ is between.

for 14: we know ∠B is congruent to ∠T and line AB is congruent to line ZY. therefore the angle cannot be connected to lines AB and ZY.

How many fives makes 6 tens

Answers

Answer:

12 fives

Step-by-step explanation:

6 tens is 60, so 60÷5 is 12

Answer:

12

Step-by-step explanation: 60 divided by 12 is 5 and 12 times 5 is 60 so there you go.

hi i need help with this

Evaluate 4(3-1)^2

Answers

Hey there!

4(3 - 1)^2

3 - 1 = 2

= 4(2^2)

2^2

= 2 * 2

= 4

4(4)

= 16

Answer: 16

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

4(3-1)^2= 16

Step-by-step explanation:

4(3-1)^2

=4×(2)^2

=4×4

=16 ........

HOPE THIS HELPS YOU....

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