What is the distance, in units, between the points [tex](2, -6)[/tex]and (-4, 3)? Express your answer in simplest radical form.

Answers

Answer 1

Answer: [tex]3\sqrt{13}[/tex]

Step-by-step explanation:

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

[tex]\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}[/tex]

[tex]=3\sqrt{13}[/tex]


Related Questions

ANSWER QUICKLY PLZZZZZZ ASAP ​

Answers

Answer:

m = 2G² + 5

Step-by-step explanation:

[tex]G = \sqrt{ \frac{m - 5}{2} }[/tex]

To make m the subject square both sides of the equation

That's

[tex] \frac{m - 5}{2} = {G}^{2} [/tex]

Cross multiply

m - 5 = 2G²

Move 5 to the right side of the equation to make m stand alone

We have the final answer as

m = 2G² + 5

Hope this helps you

Answer:

A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for .

The rectangle is 4 inches long and 3 inches wide. The semi-circle sits on top of the rectangle on a side that is 4 inches long.

Step-by-step explanation:

33. Simplify:
[tex]a ^{2} \times a ^{4} [/tex]
HELP! answer if you can!!!​

Answers

Answer:

a^2 × a^4

= a^2+4

= a^6

Remember:

a^n × a^m= a^n+m

Hope it helps

if u have any question let me know in comments ^_^

Answer:

[tex]a^2 * a^4 = \\a^{(2 + 4)} = \\a^6[/tex]

Step-by-step explanation:

Hope it helps!

Answer ASAP
Given that the point X(3, -2) is rotated 90° counterclockwise about the point (-1, 4).
What are the coordinates of X', the image of X? (1 point) *
1) X'(5,8)
2) X'(-7, 8)
3) X'(4,1)
4) X'(-2, -3)

Answers

Answer:

4) x -2,-3 hope it helps to you

4, you can graph it or do the math by taking the differences of the x and y values and swapping them

Factor :2x^(5)-9x^(4)+6x^(3)+22x^(2)-20x-25

Answers

Answer:

(x+1)(x+1)(2x−5)(x^2−4x+5)

Step-by-step explanation:

2x^5−9x^4+6x^3+22x^2−20x−25

2x^5−9x^4+6x^3+22x^2−20x−25

=(x+1)(x+1)(2x−5)(x2−4x+5)

i need help please asap 10 points!

Answers

Answer:

1) Real Number

2)Whole Number

3)Irrational Number

4)Rational Number

5)Integers

6)Natural Numbers

A survey asked students at Wilson Academy which status they would prefer—to be happy, healthy, or rich—and how much pressure they felt from their homework. The two-way table of row relative frequencies below shows the data.

Answers

Answer:

A. A student who prefers to be healthy is more likely to feel very little pressure from homework than a student who prefers to be rich.

Step-by-step explanation:

Answer:

A THE RIGHT ANSWER

Step-by-step explanation:

How do you figure out the answer to this sum ???20x48

Answers

Answer:

Step-by-step explanation:

20

×48

-------

160

800

---------

960

Hope this helps

plz mark as brainliest!!!!!!!

Answer:

            960

Step-by-step explanation:

20×48 =

= 20×(40+8) =

= 20×40 + 20×8 =

= 2×4×100 + 2×8×10 =

= 800 + 160 =

= 960  

Or:

20×48 = 2×48×10 = 96×10 = 960

One of the legs of a right triangle measures 9 cm and the other leg measures 16 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
-

Answers

Answer:

18.4 cm

Step-by-step explanation:

Using Pythagoras rule:

Hypotenuse =

[tex] \sqrt{9 ^{2} + 16 ^{2} } [/tex]

= 18.4 cm

Briefly explain your knowledge of sine, cosine, and tangent.

Answers

Answer:

Sine, Cosine and Tangent are  main functions used in Trigonometry .

They  are based on a Right-Angled Triangle.

It helps to give a name to each side of a right triangle:

"Opposite" ;  side opposite to the angle θ

"Adjacent"; side adjacent (next to) to the angle θ,

"Hypotenuse" ; the longest side

Step-by-step explanation:

Sine, Cosine and Tangent (are often shortened as sin, cos and tan)

They are used in calculation by;

[tex]Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\ \\Tan \alpha = \frac{Opposite}{Adjacent}[/tex]

To remember how to apply them , we use

SOHCAHTOA

soh

Sin = Opposite / Hypotenuse

cah

Cosine = Adjacent / Hypotenuse

toa

Tangent = Opposite / AdjacentI hope it helps :)

In a survey of 119 students, it was found that 16 drink neither coke nor Pepsi 69 drinks coke and39 drink pepsi
How many students drink Coke only?
How many students drink Pepsi only?
Show the above information in a Venn diagram.​

Answers

Answer:

64 students drink coke only

34 students drink pepsi only

Step-by-step explanation:

Here, we want to know the number of students that drink coke only and number of students that drink pepsi only.

Let the number of students that drink both be x

Mathematically,

n(μ) = 119 where μ represents the universal set

n(P) = 39

n(C) = 69

n(C n P) = x

n(C n P)’ = 16

n(P) only = 39 - x

n( C) only = 69 - x

Mathematically;

119 = (69-x) + (39-x) + x + 16

119 = 69 + 39 + 16 -2x + x

119 = 124 - x

x = 124 - 119

x = 5

So the number of students drinking pepsi only = 39 -5 = 34

The number of students drinking coke only = 69-5 = 64

6x-1=11 solve equation

Answers

Answer:

x = 2

Step-by-step explanation:

6x-1=11

Add 1 to each side

6x-1+1=11+1

6x = 12

Divide by 6

6x/6 = 12/6

x = 2

Answer:

x = 2

Step-by-step explanation:

[tex]6x-1=11 \\\\Collect \: like \:terms\\\\6x = 11+1\\\\Simplify\\\\6x =12\\\\Divide\:both\:sides\:by\:6\\\\\frac{6x}{6} = \frac{12}{6}\\ x = 2[/tex]

A. all real number
B. x>0
C. x>2
D. y>0
E. y>-1
F. y>2

Answers

Answer:

domain = E

range = (-&,&)

Step-by-step explanation: solved by graphing calculator

the sum of two numbers is 73.if one of them is 40,find the other.​

Answers

Answer:

Step-by-step explanation:

Let the other number = x

x + 40 = 73

Subtract 40 from both sides

x + 40 - 40 = 73 - 40

x = 33

Answer:

33

Step-by-step explanation:

Let the another number = x

Sum of two numbers = 73

A.T.Q

x + 40 = 73

x = 73-40

x = 33

Answer = 33

Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks? Which of the following sets of equations represents this problem?

Answers

Answer:

$200

Step-by-step explanation:

We know that she already has $20. And we know that every week, for three weeks she gets $10.

20+3(10)+150=m

We add all of this up, and we find that at the end of 3 weeks Sarah has $200 saved.

A rope 40m long is used to form a rectangle. If the length of the rectangle formed is 4m longer than the width. Calculate the area of the rectangle

Answers

Answer:

96 sq. m

Step-by-step explanation:

If the width is x, the length is x + 4 and since perimeter = 2 * (length + width), we can write:

40 = 2(x + x + 4)

40 = 2(2x + 4)

20 = 2x + 4

16 = 2x

x = 8 so x + 4 = 12, therefore the area is 8 * 12 = 96 square meters.

Answer:

96m^2

Step-by-step explanation:

40=2(x+x+4)--> 2(2x+4).

20=2x+4

20-4=2x

16=2x

8=x

8✖️12=96m^2

Order each set of numbers from least to greatest.


PLZ HELP ASAP

Answers

Answer:

7. Ans ;

[tex] \frac{41}{3} < 14 < \sqrt{200} [/tex]

8. Ans ;

[tex]0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} } [/tex]

Step-by-step explanation:

7. Ans ;

[tex] \sqrt{200} = 10 \sqrt{2} = 14.1 \\ 14 = 14 \\ \frac{41}{3} = 13.6[/tex]

So ;

[tex] \frac{41}{3} < 14 < \sqrt{200} \\ 13.6 < 14 < 14.1[/tex]

8. Ans ;

[tex] \frac{2}{3} = 0.66 \\ \sqrt{ \frac{9}{16} } = \frac{3}{4} = 0.75 \\ 0.6 = 0.6[/tex]

So ;

[tex]0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} } \\ 0.6 < 0.66 < 0.75[/tex]

I hope I helped you^_^

Find the value of f(2).
y = f(x)

Answers

Answer:

2

Step-by-step explanation:

Looking at the graph, it is 2.

what’s the scale reading

Answers

Answer:

0.026

Step-by-step explanation:

6 out of 10 steps between 0.02 and 0.03.

.026 because the longer line in between them is .025 and the one being pointed at is the one after.

Arnold made the following grades on his quizzes and assignments: 80, 92, 88, 90, 75, 38, 92, 95 2. Arnold wants to present his scores as advantageously as possible. Should he use the mean or the median of this data set? What other strategies could he employ to yield a more favorable measure of center?

Answers

Answer:

Step-by-step explanation:

If he were to find the mean then he would need to add all the numbers up and divide by the number of numbers. The answer of this would 69.1

If you find the median you would need to put the numbers in order,

2, 38, 75, 80, 88, 90, 92, 92, 95, then find the middle which would be 88.

So the better option would be finding the median. I think that this would be the best way to get the the most favorable measure of center.

I hope this helps.

Find the length of UX

A. 6.03
B. 76.11
C. 7.96
D. 76.53

Answers

Answer:

Answer would be D

Step-by-step explanation:

The measure of the length UX will be 76.53 units. Then the correct option is D.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The measure of the length UX will be given by sine of angle 6°.

  sin 6° = UR / UX

0.1045 = 8 / UX

     UX = 76.53 units

Then the correct option is D.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

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A car travels 25 m/s for 30 seconds. What distance did the car travel ?

Answers

Answer:

750 meters

Step-by-step explanation:

Answer:

750m

Step-by-step explanation:

Distance= Speed x Time

Speed = 25m/s

Time = 30s

Distance = 25 x 30

              = 750 m

               

what is 3 squared (a) if a = 107

Answers

Answer:

Brainleist!

Step-by-step explanation:

This is the equation I'm solveingg [tex]3^{2(107)}[/tex]

if so...

here

3^214

or

1.2704234747596538696295415610762e+102

What is the measure of \angle x∠xangle, x?
Angles are not necessarily drawn to scale.

Answers

Answer:

74 degrees

Step-by-step explanation:

You can see this is a supplementary angle, which means that it is a straight line with a line sticking out. This means the two angles add up to 180 degrees, so 180 - 106 = 74, which is your answer.

Answer:

x = 74°

Step-by-step explanation:

x + 106 = 180    {linear pair}

Subtract 106 from both sides

        x = 180 - 106

       x = 74°

hat is the measure of x?
X = [?]
D
126

Answers

Answer:

since those are angles on a straight line.

we work out as follows

x+126°=180°x+126°-126°=180°-126°x=54°

∠DBA and ∠DBC are making linear pair.

Linear pair of angles are formed when two lines intersect each other at a single point.

The sum of angles of a linear pair is always equal to 180°

[tex]\rm \large\longrightarrow \: \: x \: + \: 126 \degree \: = \: 180 \degree[/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 126 \degree [/tex]

[tex]\rm \large\longrightarrow \: \: x \: = \: 54 \degree[/tex]

A rectangular playing field is twice as long as it is broad. If its area is 0.5294km2, find in Km, the perimeter of the field.

Answers

let Length be [tex] l [/tex] be $b$ ,

given : $l=2b$

and area, $lb=0.5294$

put $l=2b$ in equation of area,

$2b^2=0.5294 \implies b^2=0.2647 \implies b=0.5144$

and $l=1.0288$

perimeter =$2(l+b)=3.0864$ km

The perimeter of the field will be equal to 3.0864 km.

What is a perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. The perimeter of the rectangle is the sum of all the sides of the rectangle.

It is given that a rectangular playing field is twice as long as it is broad. If its area is 0.5294 square km.

The perimeter of the field will be calculated as below:-

let Length be b

l=2b

l x b=0.5294

Put l=2b in the equation of area,

2b²=0.5294

b² =0.2647

b=0.5144 and l=1.0288

The perimeter will be calculated as:-

perimeter =2(l+b)=3.0864 km

Therefore, the perimeter of the field will be equal to 3.0864 km.

To know more about perimeter follow

https://brainly.com/question/19819849

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What is 687.2194 rounded to 1 and 2 significant figures
PLSS HELP​

Answers

Answer:

Step-by-step explanation:

Rounded to 1 sig fig, the number is 600; rounded to 2 sig fig, the number is 690

Simplify 27^(-2/3) x 25^(1/2) x 5^0 9 5 9/5 5/9

Answers

Answer:

[tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Using the rules of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{0}[/tex] = 1

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Given

[tex]27^{-\frac{2}{3} }[/tex] × [tex]25^{\frac{1}{2} }[/tex] × [tex]5^{0}[/tex]

= [tex]\frac{1}{27^{\frac{2}{3} } }[/tex] × [tex]\sqrt{25}[/tex] × 1

= [tex]\frac{1}{9}[/tex] × 5 × 1

=[tex]\frac{5}{9}[/tex]

If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L . y = -x + 3 y = -3x + 3 y = 3x + 3

Answers

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← x and y- intercepts

m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?

Answers

Answer:

11 shots

Step-by-step explanation:

60% of 18 = 10.810.8 rounded = 11

Why we did this:

Owen made 60% of the shots he made, and he made 18 shots in total. Therefore, we would take 60% of 18.The answer we get is 10.8, but we can't have a part of a shot. That wouldn't make sense. Therefore, we have to round up to 11 shots.

So therefore, Owen made 11 of 18 shots he attempted.

Owen attempted 11 shots during the hockey practice.

Number of shots attempted by Owen = 18

Percentage of shots made = 60%

Then, the number of shots made will be calculated as:

= Percentage of shots made × Number of shots attempted

= 60% × 18

= 60/100 × 18

= 0.6 × 18

= 10.8 shots

= 11 shots approximately

In conclusion, Owen made 11 shots

Read related link on:

https://brainly.com/question/18298965

what is mathematics let's check your mind who know this I will give 10 on a​

Answers

Answer:

Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.

Step-by-step explanation:

Answer:

Mathematics is like the study of numbers and relationships I guess.

Step-by-step explanation:

All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.

Basic Arthimetics seems to use ratios when counting, or patterns, ect.

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