Find the distance between the two points rounding to the nearest tenth (if necessary).
(1, -5) and (4, -1)

Answers

Answer 1

Understanding:

This can be easily solved by using the distance formula which is

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\[/tex]

[tex]d:[/tex] distance

[tex](x_{1},y_{1}):[/tex] coordinates of the first point, in our case it is [tex](1,-5)[/tex]

[tex](x_{2},y_{2}):[/tex] coordinates of the second point, [tex](4,-1)[/tex]

Solution:

[tex]d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\= \sqrt{9+16} \\=\sqrt{25}\\= 5[/tex]

The distance between the two points is 5.


Related Questions

Use the pencil,plot the point (3 1/2, 2 3/4)

Answers

Answer:

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

Step-by-step explanation:

Given the points

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)[/tex]

as

[tex]3\frac{1}{2}=\frac{7}{2}=3.5[/tex]

[tex]2\frac{3}{4}=\frac{11}{4}=2.75[/tex]

so the point can be visualized as:

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex]

Now, we can check the point x = 3.5, and determine the corresponding value y = 2.75 and plot the point at the location (x, y) = (3.5, 2.75)

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

what is the positive value of x in the following expression?
[tex]2x ^{2} - 7x - 4[/tex]

Answers

Answer:

x = 4

Step-by-step explanation:

Given

2x² - 7x - 4

To solve for x , equate the expression to zero

2x² - 7x - 4 = 0 ← in standard form

(x - 4)(2x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

Thus the positive value of x is x = 4

Answer:

x=4

Step-by-step explanation:

Hope this helped have an amazing day!  

Solve the system by substitution

Answers

Answer:

(x,y) = (-36,6)

Step-by-step explanation:

-6y=x

x+y=-30

x=-6y,

so -6y+y=-30

-5y=-30

y=6

x=-36

Hope this helps pls hit the crown :D

Willy rents a bike for 7 days. The charge is $15 plus the $0.08 per mile. He wants to spend exactly $35. How many miles can he ride the bike? *

Answers

Answer:

Willy can ride the bike for 250 miles.

Step-by-step explanation:

$35 - $15 = $20

$0.08 × 12.5 = $1

$1 per 12.5 miles

$20 × 12.5 = 250

Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways. They laid the same number of bricks, but Ben finished first. On Tuesday, they are going to work together to build the brick border of a patio. If they work for the same amount of time on Tuesday, who will likely lay more bricks?

Answers

Ben will likely lay more bricks than Caleb. Because Ben has higher efficiency.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
As mentioned in the question,
Ben and Caleb work for a landscaping company. On Monday, they worked on two different walkways.

Since They laid the same number of bricks, but Ben finished first.

Now, On Tuesday, they are going to work together to build the brick border of a patio. they work for the same amount of time on Tuesdays,
But Ben has higher working efficiency so Ben will lay more bricks than Caleb.

Thus, Ben will likely lay more bricks than Caleb.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ5

Amadahy wants to buy a card and two gifts for her friend. Cards cost 3.49 each and gifts cost $10.63 each. Amadahy has a 20$ bill. Does she have enough to buy these items? If so, how much change will she receive? Will she receive? If not, how much more money does she need

Answers

Answer:

Given that Amadahy has a $ 20 bill, and wants to buy a card and two gifts for her friend, and knowing that each card costs $ 3.49 and each gift costs $ 10.63, the total cost of the 3 items would be $ 24.75 (10.63 x 2 + 3.49 ).

Therefore, she will not be able to purchase the products she wants, since she will need $ 4.75 to reach the amount necessary for it (24.75 - 20).

sin^2a-sin^2b=cos^2b-cos^2a​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified

C'mon any washingtonians???

Answer the questions based on the interview of Warren Michio Tsuneishi.

The most difficult thing for Tsuneishi about living in the internment camp was the
_________

Moving to internment camps for many Asian American families meant
_________

The spirit of the internment camp compared to the German concentration camp at Dachau was different, but the camp was similar in
_________

Answers

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

Answers are numbered for each one

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

I just took the quiz

Which of the following functions best describes this graph?
A. y= x^2 - x + 5
B. y = (x - 3)(x + 1)
C. (x-1)(x-1)
D. y = x^2 - 5x + 6​

Answers

Step-by-step explanation:

The function that best describes the graph is y = (x - 1)² (C).

Slope of a given line is -2 and one point is (0,0). Select other points which could be on the line. Select all that applies:
a (2,4)
b (3,-6)
C (-1,2)
d (1,-2)

Answers

the equation of the line would be y=-2x, which means another point would be d. (1,-2)

PLS ANSWER
Which number line represents the solutions to-2|x| =-6?
o
-8
8

Answers

1 is the correct answer my guy

Walmart is having a huge 25 % off sale!!!
If the SALE PRICE for a PS4 is $300, what was the ORIGINAL PRICE?

Answers

Answer:

$400

Step-by-step explanation:

Answer:

It would be 400

Step-by-step explanation:

If you don't believe me search it up! C: hope this helped


The first column contains five pairs of relationships. Determine if each pair forms
a proportional relationship. Mark *Proportional" or "Not Proportional" for each
relationship in the table on your answer document.

Answers

1. Proportional
2. Not Proportional
3. Not Proportional
4. Proportional
5. Proportional

Help me i can’t do this

Answers

Answer:

[tex]\huge\boxed{\sf Star = 14}[/tex]

Step-by-step explanation:

Let snowman be x , star be y and shopping bag be z.

So, the given equations are:

1) x + y = 20                 (Eq. 1)

2) z = x + x      

 z = 2x                         (Eq. 2)

3) z + x = 18                   (Eq. 3)

Put Eq. (2) in Eq. (3)

2x + x = 18

3x = 18

Divide both sides by 3

x = 18 / 3

x = snowman = 6

Now, Put x in (Eq. 1)

6 + y = 20

Subtract 6 to both sides

y = 20 - 6

y = 14

So,

Star = 14

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Sophia had 64¢ until she spent 1 quarter. How much money does Sophia have now?

Answers

Answer:

Sophia now has 39 cents.

Step-by-step explanation:

One quarter = 25 cents

Since Sophia had 64 cents until she spent 25 cents (1 quarter).

So we subtract 25 cents from 64 cents.

[tex] \: \: \: 64 \: cents \\ \frac{ - 25 \: cents}{ \: \: \: 39 \: cents} [/tex]

Therefore, Sophia now has 39 cents.

May someone please help me?

Answers

Answer:

x=8°

y=29°

Step-by-step explanation:

vertically opposite angles are equal

so 5x+9°=y+20°

therefore 5x-y=11°

Alternate angles are equal

so 4x+17°=y+20°

therefore 4x-y=3°

equation 1....... 5x-y=11°

equation 2......4x-y=3°

using elimination method x=8°

y=29°

While in Canada, Renita bought a souvenir that is 15 centimeters long. She knows that 1 inch equals 3 centimeters. What is the length of the souvenir in inches?

Answers

Answer: 5 inches

Step-by-step explanation:

Length of souvenir = 15 cm

If 1 inch = 3 centimeters

Length of souvenir in inches :

To obtain the length of souvenir in inches :

Divide the number of inches by 3

Length of souvenir / 3

15 / 3 = 5

Hence, the length of souvenir in inches = 5 inches

Cell phone plan a cost 70 per month but gives you a free 500 dollar phone plan b coat 50 dollors but has no phone. How long would it take them to reach the same proce

Answers

Answer:

Number of month = 25 month

Step-by-step explanation:

Given:

Plan A $70 per month and $500 phone cost

Plan B $50 per month No phone

Assume;

Number of month = x

So,

50x + 500 = 70x

20x = 500

x = 25

Number of month = 25 month

If b=24 and c=10 what is for the missing side a= ? by Use the Pythagorean Theorem to find

Answers

Answer:

a = 21.82 if and only if b=10 and c=24

if you meant b=24 c=10

there can't be such a triangle because the hypotenuse is the longest side

Step-by-step explanation:

[tex]a^2+b^2=c^2\\\\a=?\\\\b=24\\\\c=10\\\\\\a^2+(24)^2=(10)^2\\\\a^2=(10)^2-(24)^2\\\\a^2=(10-24)(10+24)\\\\a^2=-14(34)[/tex]

which doesn't work because something squared can't be a negative

if you meant

c=24 and b=10

[tex]a^2+(10)^2=(24)^2\\\\a^2=(24)^2-(10)^2\\\\a^2=(24-10)(24+10)\\\\a^2=(14)(34)\\\\a\approx 21.82[/tex]

9514 1404 393

Answer:

  a = 26  or  21.82

Step-by-step explanation:

If 'a' is the hypotenuse, then ...

  a² = b² +c²

  a² = 24² +10² = 576 +100 = 676

  a = √676 = 26 . . . if 'a' is the hypotenuse

__

If 'a' is the long side, then ...

  b² = c² + a²

  b² -c² = a² = 24² -10² = 576 -100 = 476

  a = √476 ≈ 21.82 . . . if 'a' is the long leg

__

Comment on the question

The problem statement doesn't tell us what side of the triangle is labeled 'a'. There are two possibilities. An answer has been provided for each. Use the one that applies to the figure you are given.

HELPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!

Answers

18. B
So to get from 3 to 6 you multiply by two which you would also need to do to the price which is the same relationship because it is the correct answer whereas the 9 lbs you multiply by three and you would need to multiply the price by three as well and it is incorrect so it’s B
I’m not sure about the others though sorry

i need help pls ill give brainlest

Answers

Answer:

bruh okie

Step-by-step explanation:

What is the simplified expression for (-3c)2 a-4 bo?​

Answers

Answer:

-6ca-4

Step-by-step explanation:

Answer:

9c2/a4

Step-by-step explanation:

PLEASE HELP FOR ALGEBRA TEST write an equation that contains the coordinates (0,-1) and (3,7)

Answers

Answer:

The answer is y=8/3x-1

Step-by-step explanation:

7-(-1)/3-0

=8/3

y-y=m(x-x¹)

y-7=8/3(x-3)

y-7=8/3x-8

+7 +7

y=8/3x-1

how to be good at math??? ​

Answers

Step-by-step explanation:

Do more and more practice daily

Find the mean, median, mode, and range of the data below:
1)
# Words in Book Titles
2
6
5
5
5
4
4
2
3
2
3
2 1 2
2

Answers

Answer:

Hi, sry if this doesn't help anymore but these r the answers

mode=2

median=3.5

mean=3.2

range=5

Step-by-step explanation:

CAN U PLZ HELP THANK YOU

Answers

Answer

second one

Step-by-step explanation:

If u = <5, -5>, v = <1, -4>, and w = <4, -9>, which operation gives the result represented in the graph?

Answers

Answer:

-2u+w  

Step-by-step explanation:

The cost of 2.5 pounds of cheese is $5.60. Mrs. Peterson bought 9 pounds of cheese for her deli. How much money did Mrs. Peterson spend?

Answers

$20.16 because you can divide 9 by 2.5 and you’d get 3.6 and then multiply 3.6 by 5.6 and that’s what you get

Express 30 as power with base 6​

Answers

Answer:

30 ÷ 6 =5 so

5 is to the power 6

Hi Can you help me with this math question
i will give you 20 points if you can help me

Answers

Answer:

a) all equations must have an equal sign

b) (5,15) and (6, 18)

c) don't know Cop?

d) f(p) = 3g   where 'p' is points and 'g' is goblins defeated

e) f(12) = 3(4)

Step-by-step explanation:

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