What is the distance between tow points(-1,4)(3,2)

Answers

Answer 1

Answer:

2√5

Step-by-step explanation:

Distance = √(x1-x2)² + (y1-y2)²

Distance = √(-1-3)² + (4-2)²

Distance = 2√5

Answer 2

Answer:

[tex]\displaystyle d = 2\sqrt{5}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

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

Step-by-step explanation:

Step 1: Define

Identify

Point (-1, 4)

Point (3, 2)

Step 2: Find distance d

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

Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(3--1)^2+(2-4)^2}[/tex][√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(4)^2+(-2)^2}[/tex][√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{16+4}[/tex][√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{20}[/tex][√Radical] Simplify:                                                                                           [tex]\displaystyle d = 2\sqrt{5}[/tex]

Related Questions

1a.) Brian borrowed 4 non-fiction books from the library. This was 25% of the
books he checked out. How many books did Brian check out? *

Answers

Answer:

Step-by-step explanation:

Answer:

16 books

Step-by-step explanation:

100÷25=4

4×4=16

5) A bag contains eight red
marbles and six blue
marbles. You randomly pick
a marble and return it to the
bag before picking another
marble. What is the
probabilty that the first
marble you picked was blue
and the second marble was
red? Record your answer as
a decimal to the
thousandths place (three
places past the decimal).

Answers

Answer:

P(B,R) = 24.490%

Step-by-step explanation:

P(B,R) = 6/14 x 8/14 which can be simplified to become 12/49 or 24.490%

State the x- and y-intercepts of each equation
y= -2x + 7

Answers

Answer:

x-intercept(s):   ( 7/ 2 , 0 )

y-intercept(s):   ( 0 , 7 )

Step-by-step explanation:

Answer:

y = 7, x = 7/2

Step-by-step explanation:

y - intercept = 7

x - intercept = 7/2

You randomly draw a marble from a bag, record is color, and then replace it. You draw a blue marble 11 out of 50 times. What is the experimental probability that the nes marble will be blue? Write your answer as a fraction, de mal, or percent. The experimental probabilty that the next marble will be blue is​

Answers

Answer:  11/50

Explanation:

This may seem like a trick question, but it's not. Your teacher simply wants to know how many times you got blue out of the number of times total. The numerator is the number of blue. The denominator is the number of total tries.  The fraction 11/50 cannot be reduced because 11 and 50 share no common factors other than 1.

Notes:

11/50 = 0.22 = 22%The answer above applies to experimental probability only. The theoretical probability is likely different. We don't have enough info to compute the theoretical probability.


“Find the trig function and simplify if you can”

Answers

Answer:

[tex]\sqrt{10}[/tex]/10

Step-by-step explanation:

cos is adjacent side/hypotenuse

you need to find the hypotenuse

Let h = length of hypotenuse

[tex]6^{2} + 18^{2} = h^{2}[/tex]

[tex]h^{2}[/tex] = 36 + 324 = 360

h = [tex]\sqrt{360}[/tex] = 6[tex]\sqrt{10}[/tex]

cos (theta) = 6/6[tex]\sqrt{10}[/tex] = 1/[tex]\sqrt{10}[/tex] = [tex]\sqrt{10}[/tex]/10

A zip line starts on a platform that is 40 meters above the ground. The anchor for the zip line is 198 horizontal meters from the base of the platform. How long is the zip line? help grifjin

Answers

Answer:

Solution given:

perpendicular distance =height [p]=40m

base or horizontal distance [b]=198m

Hypotenuse or zip line [h]=?

Now

By using Pythagoras law

h²=p²+b²

h²=40²+198²

h=√40804

h=202m

So the Zip line is 202m long.

Find the area of the trapezoid

Answers

Answer:

45

Step-by-step explanation:

A company analyzed how inventory was affected during the first five hours after a commercial aired for its product. The relationship is shown on the graph below.



What happens to inventory as each hour passes?
A.
The inventory decreases by 20 units.

B.
The inventory decreases by 10 units.

C.
The inventory decreases by 5 units.

D.
The inventory decreases by 1 unit.

Answers

I think the answer is B

A clothing store advertises that its prices are only 10% above cost. What is the store's profit on a coat that is advertised for $160?

Answers

Answer: $16

Explanation: 10% of $160 is $16

In the parallelogram RSTU, the diagonals RT and SU intersect at point W.

A. 4
B. 8
C. 10
D. 20

If RW = 2x + 2 and RT = 3x +8, what is the length of WT?

Answers

Answer:

4

Step-by-step explanation:

i did the math but i did the math but i dont wanna type it all out  

Help me with this please!!!!!

Answers

Answer:

d = √(x2 - x2)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(-9, 6, -4)

Substitute the values in the above equation and you will get

d = √(-9)^2 + (6)^2 + (-4)^2

= √(81 + 36 + 16)

= √133

= 11.53

Answer:

The answer is 11.53

HELP ME HELP ME HELP KE HELP ME PLEASEEEEEE I NEED HELP PLZ PLZ PLZ

Answers

Answer:

1/3

Step-by-step explanation:

Write an expression to represent how to calculate the area of a triangular sail.

Answers

Answer:

(b × h) ÷ 2

Step-by-step explanation:

broccoil cost 3.14$ a pound at the market if mary bought 2.5 pounds what was the cost

Answers

7.85 dollars because 3.14 is the price of one pound your buying 2.5 so you times 3.14 by 2.5

In Earth’s atmosphere, the speed of sound can be approximated using partial variation. The speed of sound is approximately 331 m/s at 0°C and approximately 343 m/s at 20°C.
Jenny yells out “Hello” in a canyon when the air
temperature is 10°C. It takes 1.4 s to hear her
echo. How far away is the wall of the canyon?

Answers

Given the info, we can do 343-331=12 and 20-0=20. Then divide both by 2 to get a ratio of 6:10. This indicates that if temperature is 10, speed will be 6 m/s. I order to get the distance, multiply 6 m/s by 1.4 s, the unit s (second) cancels out and the answer is 8.4 m.

The grid shown below is in the shape of a rectangle. What is the area, in square units, of the shaded part of the rectangle? *

Answers

answer:
B) 24

step-by-step explanation:
there are 48 squares in total
half of the squares are shaded
48/2
24

Answer:

I'm going to say 24. I'm 97% sure I'm correct

find the value of x. round your answer to the nearest tenth.

Answers

the answer is C. 7.2

Someone help me out on this one please

Answers

Angle H and angle K :)

Answer:

Angle GHM and Angle LKJ

Step-by-step explanation:

They are both marked the same with one line.

If ABCD is dilated by a factor of 2, the
coordinate of B' would be:
B' ([?],[?])

PLEASE HELP I WILL MARK BRAINLIEST!!

Answers

Answer:

I believe its (- 2, 2 )

Step-by-step explanation:

Assuming the dilatation is centred at the origin, then multiply the coordinates of B by the scale factor 2, that is

B(- 1, 1 ) → B'(2(- 1), 2(1) ) → B'(- 2, 2 )

What is 35% of 500?
Help please

Answers

Answer:

175

Step-by-step explanation:

500 times 35/100

simplify

Answer:

175

Step-by-step explanation:

the diagram shows a parallelogram. work out the value of x​

Answers

Answer:

x = 39

Step-by-step explanation:

The opposite angles of a parallelogram are congruent, so

3x - 15 = 2x + 24 ( subtract 2x from both sides )

x - 15 = 24 ( add 15 to both sides )

x = 39

The value of x from the parallelogram is given by the equation x = 39°

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as ABCD

Now , the total internal angle of a parallelogram is 360°

Now , the equation will be

∠A + ∠B + ∠C + ∠D = 360°

Substituting the values in the equation , we get

3x - 15 + 2x + 2x + 2x + 24 = 360°   be equation (1)

On simplifying the equation , we get

9x + 9 = 360

Subtracting 9 on both sides of the equation , we get

9x = 351

Divide by 9 on both sides of the equation , we get

x = 39°

Therefore , the value of x is 39°

Hence , the equation is x = 39°

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ2

A hiker has 2 pairs of hiking shoes, 3 shirts, and 5 pairs of shorts to choose from. How does the number of combinations of shoes, shirts, and shorts change as the
hiker adds a new pair of shorts to his collection? Explain.
If the hiker adds
new pair of shorts to his collection, the new number of combinations is
which is
than
The original number of combinations is
the original number of combinations.
(Type whole numbers.)

Answers

Answer: 12

Step-by-step explanation:

There are 12 different combinations

If you base it off of the 2 pairs of shoes, each one goes over each shirt twice, and each pair of shorts will go over once

find the area and circumference of each figure below. use 3.14 for pi. if needed, round your answer's to the nearest 100ths place.​

Answers

Answer:

[tex]a \\ area = 10 \times 10 \times 3.14 = 314 \\ circumference = 2 \times 10 \times 3.14 = 62.8 \\ \\ b \\ \: area = 6 \times 6 \times 3.14 = 113.04\\ circumference = 2 \times \times 6 \times 3.14 = 37.68[/tex]

please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

90 degrees

Step-by-step explanation:

What is the solution to the equation? a+5 2/3=9​

1. a+5 2/3=9
a+5 2/3+5 2/3=9-5 2/3
a=3 1/3

2. a+5 2/3=9
a+5 2/3+5 2/3+=9+5 2/3
a=14 2/3

3. a+5 2/3=9
a+5 2/3-5 2/3=9+5 2/3
a=14 2/3

4. a+5 2/3=9
a+5 2/3-5 2/3=9-5 2/3
a=3 1/3

Answers

1-a=31/3
Step-by-step
a+52/3=9
a+17/3-17/3=9-17/3
a=10/3=3 1/3
Hope this help☺️

Answer: 1-a=31/3

Step-by-step

Step-by-step explanation:

I asked my math teacher, we did the problem together, and I belive this other guy is also right.

Adam has an inflatable pool toy

Answers

Answer:

yes

Step-by-step explanation:

Answer:

nice.

Step-by-step explanation:

₊˚ ꒰ mei ꒱ ‧₊˚

solve for x in the equation

Answers

Answer:

x = 12

Step-by-step explanation:

This is a supplementary angle so the right side is equal to 90°. This means the other side must also equal 90°

So subtract 20° from 90° and you get 70°

Next you can just (6(12)-2) or continuously substitute until you get the right answer.

There are 2 yellow marbles and 11 blue marbles in a bag. You randomly choose one of the marbles. What is the probability of choosing a yellow marble? Write your answer as a fraction in simplest form. The probability of choosing a yellow marble is​

Answers

math so basically it would be 11/2

Please help ASAP !!

Answers

Answer:

3rd one or infinite

Step-by-step explanation:

1 4/7 as an improper fraction.

Answers

your answer would be

11/7

The mix fraction as an improper fraction is 11/7.

We have,

Mix fraction:

1(4/7)

This can be simplified as an improper fraction:

= {(7 x 1) + 4} / 7

= (7+ 4) / 7

= 11/7

Thus,

The mix fraction as an improper fraction is 11/7.

Learn more about fractions here:

https://brainly.com/question/24370499

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