Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)

Answers

Answer 1

Answer:

[tex]d = 3\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point A (2, -1)

Point B (-4, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

Substitute [DF]:                    [tex]d = \sqrt{(-4-2)^2+(2+1)^2}[/tex]Subtract/Add:                       [tex]d = \sqrt{(-6)^2+(3)^2}[/tex]Exponents:                           [tex]d = \sqrt{36+9}[/tex]Add:                                      [tex]d = \sqrt{45}[/tex]Simplify:                               [tex]d = 3\sqrt{5}[/tex]

Related Questions

I NEED HELP ASAP PLEASE


Which equation represents a line parallel to the line shown on the graph?


On a coordinate plane, a line goes through (0, 8) and (2, 0).

y = 4 x minus 1

y = negative 4 x + three

y = one-fourth x + 5

y = negative one-fourth x minus 1

Answers

9514 1404 393

Answer:

  y = -4x +3

Step-by-step explanation:

The given line has a "rise" of -8 for a "run" of 2, so its slope is ...

  m = rise/run = -8/2 = -4

A parallel line will have the same slope, so you want to choose the equation that has an x-coefficient of -4. That equation is ...

  y = -4x +3 . . . . the second choice

Answer:

y = one-fourth x minus 2

Step-by-step explanation:

4. How do we divide polynomials using synthetic division?

Answers

Answer:

here

Step-by-step explanation:

Step 1 : set the denominator equal to zero to find the number to put in the division box. Next, make sure the numerator is written in descending order.

Step 2 : Once the problem is set up correctly, bring the leading coefficient (first number) straight down.

Step 3 : Multiply the number in the division box with the number you brought down and put the result in the next column.

Step 4 : Add the two numbers together and write the result in the bottom of the row.

Step 5 : Repeat steps 3 and 4 until you reach the end of the problem.

Step 6 : Write the final answer. The final answer is made up of the numbers in the bottom row with the last number being the remainder and the remainder must be written as a fraction.

Help me find this answer 40 points

Answers

Answer:

A

Step-by-step explanation:

The answer is up ahead

A fishbowl shaped like a sphere is filled with water. The fishbowl has a diameter of 16 inches.
Which measurement is closest to the volume of water in the fishbowl in cubic inches?
A 2,144.66 in
B 17,157.28 in?
C 5,461.67 in?
D 6,433.98 in.

Answers

Answer:

2, 144.6 in3

Step-by-step explanation:

Darnell created a scale drawing of the community garden in his town. The actual garden is 20 feet long. Darnell's scale drawing of
the community garden is 4 inches long
What scale did Darnell use to draw the garden?
O 2 inches equal 5 feet
o 1 inch equals 5 feet
o inch equals 1 foot
O 1 inch equals foot

Answers

The scale that Darnell used is required.

The scale that Darnell used is 1 inch equals 5 feet.

Scale diagrams

The length of the actual garden is 20 feet.

The scale drawing is 4 inches long

[tex]20\ \text{feet}=4\ \text{inches}[/tex]

Since, we are finding the inches to feet we divide the expression by [tex]4[/tex]

[tex]\dfrac{20}{4}\ \text{feet}=1\ \text{inch}[/tex]

[tex]1\ \text{inch}=5\ \text{feet}[/tex]

Learn more about scale diagrams:

https://brainly.com/question/25324744


Which of the following statements correctly explains whether or not the two figures are congruent?

Answers

Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.

Answer: The two figures are congruent since there is a rotation that carries one figure onto the other.

Step-by-step explanation: I just took the test

Solve the system of equations. (1 point)

2x − 5y = 3
x − 3y = 1

(4, 1)
(5, 2)
(7, 2)
(9, 3)

Answers

Answer:

The answer is (4,1). Substitute the x and y values into the system and you should have the answer.

Answer:

option one

Step-by-step explanation:

For a fundraiser, the Lexington High School football team is making ice cream sundaes, They can buy chocolate ice cream for $15 per gallon and vanilla ice cream for $10 per gallon. They need at least 25 gallons and have a budget of $300. The lines x + y = 25 and 15x +10y= 300 are graphed in the coordinate plane below where and represent the number of gallons of chocolate and vanilla ice cream, respectively.
Which region represents all the numbers of gallon of each flavor that the team could buy?

Region A
Region B
Region C
Region D​

Answers

Answer:

region D

Step-by-step explanation:

all other regions are higher than $300

Answer:

C

Step-by-step explanation:

because its either A or C and when I did it I picked C and it was wrong.

¯\_(ツ)_/¯

"What is the equation of the line parallel to the given line with an x-intercept of 4?"
y = __x + __​

Answers

Parallel lines have the same slope, so the slope of this new line is 4.

In the form y=mx+b, m is the slope, so the slope of this new line is y=4x+b.

The x intercept is 4, which is the coordinate (4,0). So plug that in to get b:

0=4(4)+b
0=16+b
B=-16

So in total, the new line is y=4x-16.

Order the numbers from least to greatest:
9/10 1/6 7/5

Answers

Answer:

1/6, 9/10, 7/5

Step-by-step explanation:

13.8 x 7.9
What is the answer

Answers

Answer:

Answer 109.02i hope it is helpful have a nice day

Answer:

108.32

Step-by-step explanation:

[tex](13.8 \times 7.9) \\ = (11.72 + 96.6) \\ = 108.32[/tex]

A group of four friends goes to the movies. Each friend pays for a ticket, a snack, ana
drink. The ticket costs d dollars. The snack costs 1.5 times the price of a ticket
The drink costs $1.25 less than the ticket.
The expression 4d + 4(1.5d) + 4(d - 1.25) represents the amount the
riends pay altogether in dollars.
Which part of the expression represents the total amount the friends
pay for snacks?
d - 1.25
1.5d
4(1.50)
4d - 1.25)

Answers

Answer:

the answer is

4(1.5d)

Step-by-step explanation:

hope it help

The expression of the total amount paid on snacks is 4(1.5d).

What is the expression?

The expression is a sentence with multiple variables and constants connected via mathematical operator. An expression cannot have an equal to “=” sign.

It is known that the cost of a snack for 1 friend is 1.5 times the price of the ticket, d. So, the cost of a snack for 1 friend will be 1.5d

Multiply the cost of snacks for 1 friend by 4, to determine the total cost spent by 4 friends on snacks.

4(1.5d)

Thus, the expression for the total amount spent on snacks will be 4(1.5d).

To learn more about expressions click:

https://brainly.com/question/13947055

#SPJ5

The cookies in a jar contain a total of 1000 chocolate chips. All but one of these cookies contains the same number of chips; it contains one more chip than the others. The number of cookies in the jar is between one dozen and three dozen. What is the sum of the number of cookies in the jar and the number of chips in the cookie with the extra chocolate chip? (Hint: using factorization) (A) 65 (B) 64 (C) 63 (D) 66 (E) 67

Answers

Answer:

65

Step-by-step explanation:

From the given information:

Let consider p to be the total numbers of the cookies

If there are 1000 chocolate chips in the jar;

The number of chocolate chips if we remove one chocolate chips = 1000 -1

= 999

The number of available choco chips on each cookie except for the one having an extra chocolate chip = 999/p

Thus, to achieve a whole number, p is required to be a factor of 999

By factorization of 999, we get:

36 > p > 12;  Thus, the value for "p" lies between 36 and 12, and which must be by 999 is 27

Thus, the number of cookies in the jar "p"= 27

However, the number of chocolate chips on with the extra chocolate chip

= 999/p + 1

= 999/27 + 1

= 37 + 1

= 38

Thus, the sum of the number of cookies in the jar +  the number of chocolate chips on with the extra chocolate chip

= 27 + 38

= 65

12/4 - 1 3/4 can someone please help?

Answers

Your answer is 1 1/4

Answer:

1.25 other words 1 1/4

Step-by-step explanation:

So I what I did was turn them into decimals: 12/4= 3 and 1 3/4= 1.75. So then I just subtracted 3 from 1.75 which equals 1.25 which is the same as 1 1/4

hope this helps! (lmk if have further questions)

6th grade math i mark as brainliest​

Answers

Answer:

(3)(c) - 11 5/8

Step-by-step explanation:

The parenthesis that are like this:

()()

mean multiplication

Answer:

3c - 11 5/8

Step-by-step explanation:

I need help with this ​

Answers

Answer:

1. y=14

2. x=22

3. z=3

4. n=14

5. a=10

6. m=-5

7. b=26

8. c=15

9. x=80

10. g=20

11. x=-5

12. w=-4

13. r=45

14. k=12

15. f=50

16. j=2

17. r=21

18. t=47

1. what is 0.7 of 42
2. what is 0.3 of 14

Answers

Answer:1) 29.4

2)4.2

Step-by-step explanation:

0.7×42=29.4

0.3×14=4.2


write each percent as a fraction in simplest form
60%​

Answers

Answer:

3/5

Step-by-step explanation:

ir would be 6/10 but simplified it would be 3/5

6/10 would be the answer

HELLLLLLP’!!!!
Suppose f(x)=2x-3 describe how the graph of g compares with the graph of f G(x)=f(x)+11

Answers

Answer:

Step-by-step explanation:

g(x) = 2x - 3 + 11

= 2x + 8.

The graph of g is parallel to the graph of f but f is translated upwards by 8 units.

is this a good drawing??

Answers

Answer:

I dont see a drawing???

Step-by-step explanation:

I doesn’t matter how bad the drawing it always good to me

Really need help on this math question! “Jill is draining her pool before winter arrives.
Initially the pool has 2000 gallons of water.
The pool is draining at a rate of 8 gallons per minute.
Write a function to model this situation.”

Answers

Answer:

f(x)=2000-8x

Step-by-step explanation:

2000 is initial amount that gets subtracted

8x is the amount of gallons being siphoned out, where x is t, or minutes.

9th grade math help pretty please

Answers

Answer:

C.) This system has infinitely many solutions.

Step-by-step explanation:

y = 2x - 4

2x - y - 4 = 0

2x - y - 4 = 0 can be rewritten as y = 2x - 4 as shown below

2x - y - 4 = 0

-y = -2x + 4

-y/-1 = -2x/-1 + 4/-1

y = 2x - 4

y = 2x - 4 is equal to 2x - y - 4 = 0 because the slope is both 2 and both its y-intercept is -4, these two are coincidence, as they call it, meaning these two lines are the same, so its solutions are anywhere on its line. Shown below in a graph.

Could someone explain this to me and help me plss thank you soo much:)

Answers

The graph is linear and has a fixed growth meaning it does not change

16) The diameter of a circle is 3/4ft. Find the radius.

17)The radius of a circle is √13 cm. Find the diameter. Leave your answer in simplest radical form

41) Given the equation (x+5)^2+y^2 =75 identify the circle's center and the length of its radius. Leave your answer in simplest radical form.

42) Given the center of a circle lies at (6,-3) and the diameter has a length of 14, write the equation of the cirlce

Answers

Answer:

16) diameter = 2×radius

3/4 ft = 2×r

r = 3/8

17) 2×radius = diameter

2×√13 = 2√13 cm

42) center = (6,-3)

radius = 14/2

= 7

[x-(6)]²+[y-(-3)]² = 7²

(x-6)²+(y+3)² = 49

Question 6: please help me out here :(((

Answers

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

Please help!! I included a pic of the problem to make it easier.

Find the quotient (z/w)

z = 6(cos(pi/3) + isin(pi/3), w = 3(cos(pi/6) + isin(pi/6)

[A]2(cos(pi/6)+isin(pi/6)
[B]2(cos(pi/90)+isin(pi/90)
[C]18(cos(pi/2)+isin(pi/2)
[D] None of these

Answers

Answer: i think it is D

we have:

[tex]\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }[/tex]

Step-by-step explanation:

Find the value of y.​

Answers

Answer:

B

Step-by-step explanation:

i will give brainliest

Answers

Answer:

5 th box 0: )

Step-by-step explanation:

Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Fill in the blank
d = __ s + __
(also to understand better we are doing the equation y = __ x + __ )

Answers

Answer:

d= 3s+50

Step-by-step explanation:

Hope this helped you!! Give brainliest..

The numbers 32 and 12 are each rounded to the nearest ten and then multiplied to estimate the product. What is the
best estimate of 32 x 12 based on this method?
0 300
O 384
O 400
O 424
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

300

Step-by-step explanation:

if  you round 32 and 12 to the nearest it would be 30 an 10 so u multiply 30 times 10 too get 300

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