Find the distance between the two points in simplest radical form.

Find The Distance Between The Two Points In Simplest Radical Form.

Answers

Answer 1

Answer:

  13 units

Step-by-step explanation:

A right triangle can be drawn using the grid lines for legs and the line segment between the two points as the hypotenuse. You can count grid squares or subtract coordinates to find the vertical leg is 12 units and the horizontal leg is 5 units. The Pythagorean theorem tells you the length of the hypotenuse (distance between the points) is ...

  d² = 12² +5² = 144 +25 = 169

  d = √169 = 13

The distance between the two points is 13 units.

_____

Additional comment

This set of dimensions, {5, 12, 13}, is one of several "Pythagorean triples" that often show up in math problems. Other common triples are {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}, and multiples of these.


Related Questions

Match the following


A) B) C)

(Sorry if I didn’t put a picture it won’t let me do it…)

Answers

Answer:

No picture

Step-by-step explanation:

sorry but we need the pictures

a store is having a clearance special and every item is 20% off what is the sale price of a 230 suit

Answers

Answer:

184

Step-by-step explanation:

80% of 230

0.8x230

8×23

=184

HELP ASAP WILL GIVE BRAINLIEST!!!

Answers

Answer:

1222 ft^2

Step-by-step explanation:

2(13x9) + 2(5x12) + 2(4.5x9) + 2(9x11) + 2(19x11) + (19x9)

(PLS HELP QUICK POINTS)

A soda can holds 235.5 in^3 of liquid. If the cab is 5 inches tall, what is the distance across the top of the soda can.

Answers

Answer:

Step-by-step explanation:

To make a guess as to the volume, it may be easier to guess in cups rather than centimeters or inches. One may visualize that a 12 ounce soda can is about 1.5 cups. This is equivalent to 354.88 cubic centimeters or 21.656 cubic inches.

Pls Hurry.


What is the area of a rectangle with vertices (Negative 8, Negative 2), (Negative 3, Negative 2), (Negative 3, Negative 6), and (Negative 8, Negative 6)?


___ square units

Answers

Answer:

20units^2

Step-by-step explanation:

Answer:

20units^2

Step-by-step explanation:

A number cube with a number 1 through 6 is rolled. find the probability of rolling a number greater than 3?​

Answers

The probability of rolling a number greater than 3 is equal to

   --> # of numbers greater than 3 / total # of numbers on the dice

   --> [tex]\frac{3}{6} =\frac{1}{2}[/tex]

There the probability of rolling a number greater than 3 is 1/2

Hope that helps!

16
21
Jade works as a decorator.
She is paid £22.80 per hour for the first 35 hours she works each week.
She is paid 15% more per hour for each extra hour she works.
One week, Jade was paid £981.54
In total, how many hours did she work that week?
You must show your working.

Answers

Let's assume that all hours she worked were the first 35 hours of the week.

She would've made £22.80 x 35 = £798

So, she would've made 981.54 - 798 = 183.54 less than the actual amount

She is paid 15% more per hour after the first 35 hours -> She will get £26.22 per hour.

So, she work for 183.54 : 26.22 = 7(hours) after the first 35 hours

So in total, she worked for 35 + 7 = 42(hours).

Answer:

42 hours

We know she works at least 35 hours, so 35x22.80=798. This is her base pay without any extra hours.

981.54-798 =183.54. This is the amount she earnt for working extra hours. if we divide this by the rate she earns for extra hours (22.80x1.15=26.22), 184.54/26.22=7, we know she worked an additional 7 hours.

and 35 plus 7 = 42 :)

help this is due tom

Answers

Answer:

9. (a) 1/4

   (b) remove 3 alphabet cards

   (c)  add 4 number cards

10.  1/8

Step-by-step explanation:

Question 9

Given:

8 number cards10 alphabet cards6 picture cards

⇒ total number of cards = 8 + 10 + 6 = 24 cards

[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]

(a) P(picture card) = 6/24 = 1/4

(b) P(alphabet card) = 10/24 = 5/12

If we remove 3 alphabet cards from the box

⇒ number of alphabet cards = 10 - 3 = 7

⇒ total number of cards = 24 - 3 = 21

Therefore, P(alphabet card) = 7/21 = 1/3

(c)  P(number card) = 8/24 = 1/3

If we add 4 number cards to the box:

⇒ number of number cards = 8 + 4 = 12

⇒ total number of cards = 24 + 4 = 28

Therefore, P(number card) = 12/28 = 3/7

--------------------------------------------------------------------

Question 10

Given:

ΔSDR = ΔPRQLeg length of ΔSDR and ΔPRQ = 4 cm

⇒ area of ΔSDR = area of ΔPRQ = 1/2 × 4 × 4 = 8 cm²

As PR = SD = 4cm

Area of rectangle = (4 + 4) × (12 + 4) = 128 cm²

P(point lies in ΔSDR) = 8/128 = 1/16

P(point lies in ΔPRQ) = 8/128 = 1/16

P(point lies in ΔSDR) OR P(point lies in ΔPRQ) = 1/16 + 1/16 = 2/16 = 1/8

help... Reference books are for use in the library. There are 16 bookshelves for the reference books. After use, they need to be returned to a special collection box for shelving. If 128 reference books are in use and 84 reference books are in the collection box, how many reference books are on the shelf?

Answers

Answer:

Your answer would be:
13.25

128 books in use + 84 books in the collection box =212 reference books on the shelf

212 books / 16 shelves =13.25 per shelf

Logically the answer 13.25 wouldn't make sense because you can't put a 25th of a book on a shelf, so that means you will need to put the "0.25 book" away. Technically your answer would be 13. Due to the question, however, it would be 13.25.


Step-by-step explanation:

Have a great rest of your day
#TheWizzer

If 0 is an angle in quadrant II, what is the value of cos0?

Answers

in the II Quadrant, let's recall that the adjacent side or cosine is negative whilst the opposite side or sine is positive, thus

[tex]tan(\theta )=-\sqrt{\cfrac{19}{17}}\implies tan(\theta )=\cfrac{\stackrel{opposite}{\sqrt{19}}}{\underset{adjacent}{-\sqrt{17}}}\impliedby \qquad \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]c=\sqrt{(-\sqrt{17})^2~~ + ~~(\sqrt{19})^2}\implies c=\sqrt{17+19}\implies c=\sqrt{36}\implies c=6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-\sqrt{17}}}{\underset{hypotenuse}{6}}~\hfill[/tex]

Solve and show your work for each question.
(a) What is expressed as a fraction in simplest form?
(b) What is expressed as a fraction in simplest form?
(c) What is expressed as a fraction in simplest form?

Answers

The value of 0.36 when converted to a fraction in the simplest form is 9/25.

How to calculate fractions in simplest form?

Your information is incomplete. Therefore, an overview will be given. It should be noted that a fraction is in its simplest form when the numerator and denominator are prime.

From example, let's convert 0.36 to a fraction on its simplest form. This will be:

0.36 = 36/100 = 9/25

In conclusion, 0.36 is 9/25 in the simplest form.

Learn more about fractions on:

https://brainly.com/question/78672

Complete this proportion: 6/8 = a/12.

Answers

Answer:

9

Step-by-step explanation:

6      x

-   =   -

8      12

the relationship from 8 to 12 is divided by.666666666666

So, we do the same for 6

We get 9.

find the area of the shape below

Answers

Answer:

396 cm²

Step-by-step explanation:

    Let us break this shape into two parts.

    The left part:

27 cm² * 10 cm² = 270 cm²

    The right part:

24 cm² - 10 cm² = 14 cm²

14 cm² * 9 cm² = 126 cm²

    Total area:

270 cm² + 126 cm² = 396 cm²

NEED HELP ASAP!!!!

Which equations define y as a linear function of x ?
Select all that apply.

A
y=2x

B
y=5x3+3

C
y=12x−9

D
y=x2

E
y=4x2+2x

F
y=2(4x−2)+16

Answers

Answer: A, C, F

Step-by-step explanation:

brain boggling boggle help pls
:)

Answers

Observe the division shown

To divide 2 by 9 Carl added a .0 on right of dividend and 0. on the right of quiotent .

Then he got 0.2

Remainder recieved is 2 again

So these steps gonna repeating

The answer be like 0.222222..

Which number is irrational?


8√

0.8¯

0.46

100√3

Answers

Answer:

I think √8

Step-by-step explanation:

an integer to the power of 2

Reflect the shape A in the line x=1
What are the coordinates of the vertices of the image?

Answers

Answer:

(0,4) (0,7) (-2,4)

Step-by-step explanation:

The line x=1 is a vertical line that passes through the point (1,0). So we then place the new triangle at equal distance from the line.

I hope this helps!

please mark brainliest!!

Answer:

i think you have to multiply

the answer is- 28.512

Step-by-step explanation:

i dont know if this is right im sorry but i think it is

Which of the following graphs has a zero at (-5)?

Answers

Graph B would be the correct answer

Find two positive consecutive
even integers such that the
square of the smaller integer
decreased by five times the
larger integer is 536.

Answers

Answer:

[tex]26[/tex] and [tex]28[/tex].

Step-by-step explanation:

Let [tex]x[/tex] denote the smaller one of the two even integers ([tex]x > 0[/tex] since both integers are positive.) The larger one of the two consecutive even integer would be [tex](x + 2)[/tex].

The square of the smaller integer would be [tex]x^{2}[/tex].

Five times the larger integer would be [tex]5\, (x + 2)[/tex].

Subtract five times the larger integer from the square of the smaller integer to get [tex](x^{2} - 5\, (x + 2))[/tex].

The value of this expression should be equal to [tex]536[/tex]. In other words:

[tex]x^{2} - 5\, (x + 2) = 536[/tex].

Rewrite and simplify this quadratic equation:

[tex]x^{2} + (-5)\, x + (- 546) = 0[/tex].

[tex]a = 1[/tex].[tex]b = (-5)[/tex].[tex]c = (-546)[/tex]

Apply the quadratic formula to find possible values of [tex]x[/tex]:

[tex]\begin{aligned}x_{1} &= \frac{-b + \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{-(-5) + \sqrt{(-5)^{2} - 4 \times 1 \times (-546)}}{2}\\ &= \frac{5 + \sqrt{2209}}{2} \\ &=\frac{5 + 47}{2} \\ &= 26\end{aligned}[/tex].

[tex]\begin{aligned}x_{2} &= \frac{-b - \sqrt{b^{2} - 4\, a\, c}}{2\, a} \\ &= \frac{5 - \sqrt{2209}}{2} \\ &=\frac{5 - 47}{2} \\ &= -21\end{aligned}[/tex].

Since [tex]x > 0[/tex] (both numbers are supposed to be positive), [tex]x = 26[/tex] would be the only valid solution.

Therefore, the two integers would be [tex]x = 26[/tex] and [tex]x + 2 = 28[/tex].

28 is increased by 150%. what's the final number

Answers

Answer:

70

Step-by-step explanation:

20x(1+150%)

28x(1+1.5)

28x2.5

70

PLEASE HELP!!!!!!!!
How do I write these in Slope y-intercept form example: y=1/2x-5

7) 2x - y = 3
8) 2x+4y = 8
9) 3x-5y=10
10) 3x-1/2y=2

Answers

Answer:

The answers would be:
7) y=-0.5x+2
8) y=-0.5x+2
9) y=0.6x-2
10) y=6x-4

Step-by-step explanation:

find the missing side length.

Answers

Use the formula shown:

6^2 + 2.5^ = c^2

36 + 6.25 = c^2

42.25 = c^2

Take the square root of both sides:


c = 13/2 as a fraction or 2.5495 as a decimal (round off as needed)

The difference of x and 7 is at most -28. Translate the sentence into an inequality

Answers

Answer:

x - 7 [tex]\leq[/tex] -28

Step-by-step explanation:

I guarantee you that this is correct. It's pretty simple to understand.

Please mark Brainliest. :)



ILL GIVE BRAINIEST

I’ll give brainiest A marble has a radius of 2 cm. About how many marbles will it take to fill a cylindrical jar with a diameter of 16 cm and a height of 20 cm? (Volume of a sphere =
4
3
r
3
π
4
3
r
3
π
)

A.
40 marbles

B.
80 marbles

C.
120 marbles

D.
240 marbles

Answers

Answer:

120 marbles

Step-by-step explanation:

we can find the answer by dividing the volume of the cylinder by the volume of the marble.

V of a cylinder is

pi×r^2×h = 1280pi

V of marble is

4/3 × pi × r^3

V is 32/3 pi

so final answer is 1280pi ÷ (32/3 × pi)

ANSWER IS 120 MARBLES

Find the area of the shaded polygon.

Answers

Answer:

A = 64 sq. un

Step-by-step explanation:

This is a trapezium.

The formula od an area of a trapezium:

A = 1/2(a + b) · h

We have:

a = 10, b = 6, h = 8

substitute:

A = 1/2 · (10 + 6) · 8 = 1/2 · 16 · 8 = 8 · 8 = 64

Answer:

A = 64 sq. un

Step-by-step explanation:

6 * 8 + (4 * 8)/2 =

48 + 4 * 4 =

48 + 16 =

64

An adult takes 400mg of vitamin c.
Each hour, the amount of vitamin c in
the person's system decreases by about
29%. How much vitamin c is left after 6
hours?

Answers

Answer:

51.24 mg

Step-by-step explanation:

400 x (0.71^6) = 51.24

Answer:

51.24 mg

Step-by-step explanation:

400 x (0.71^6) = 51.24

find the total surface area of this triangular prism
answer quick

Answers

Answer:

716

Step-by-step explanation:

Triangle = bh / 2

24 x 14 = 336, you should divide by 2 but there is 2 of them (front and back) so cancels out. 10 x 24 is 240 and cancels for same reason. 336 + 240 = 576. 14 x 10 = 140 and 576 + 140 = 716

Answer:

976 cm^2

Step-by-step explanation:

area of triangle is 1/2 times base times height

notice we have two triangles

so 14 * 24 * 0.5 is 168

168 times 2 is 336

now we have a rectangle on the bottom so its area is base times height

14 times 10 is 140

and now we have two rectangles on either side

25 times 10 is 250

250 times 2 is 500

500+140+336

976 cm^2

Solve the system by substitution.
8x +y = 4
-23 – 8= y

Answers

Answer:

(2,-12)

Step-by-step explanation:

Correct equations:

  8x+y=4

 -2x-8=y

------------------

Rearrange the first equation:

8x+y=4

y=4-8x

Now use this value of y in the second equation:

-2x-8=y

-2x-8=4-8x

6x = 12

x = 2

When x = 2:

y=4-8x

y=4-8(2)

y = -12

(2,-12)

--

One can also graph the two equations and find the point they intersect.  See the attached graph.

this morning carlos enters the room late. the distance from the road from their house to the school is 100 meters but he could travel it for 50 seconds what is his speed

Answers

Answer:

2 m/s or 7.2 km/h

Step-by-step explanation:

Time = 50 seconds

Distance = 100 meters

Velocity = distance/time = 100/50 = 2 m/s or 7.2 km/h

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \large \purple{ \rm{Given↦}}[/tex]

Distance by road from their house to the school is 100 m.Time Given 50 sec

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple{ \rm{To \: find↦}}[/tex]

Carlos speed

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple { \rm{Assumption↦}}[/tex]

let the speed be x

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple { \rm{ To \: find \: speed \: we \: use↦}}[/tex]

[tex] {\boxed{ \rm{Speed= \frac{ Distance } {Time}}}}[/tex]

[tex]\rule{70mm}{2.2pt}[/tex]

[tex] \large \purple{ \rm{Substitute \: value \: according \: to \: formula. \: }}[/tex]

[tex] \large \rm{s = \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = \cancel \frac{100}{50} }~~~~~~~~~~~~~~~~~~~~ \\ \\ \large \rm{s = 2 m/s \: or \: 7.2km/h }[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

HELP ASAP 50 POINTS ITS GEOMENTRY

Answers

Answer:

1.c

2.a

3.d

4.e

5.f

6.b

1/c 2/a 3/d 4/e 5/f 6/b
Other Questions
Which country's capital does NOT contain all or part of the name of the country itself?GuatemalaNicaraguaEl SalvadorPanama Are there any countries where men life longer than women A triangle has sides that measure 2 units, 5 units, and 5. 39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3. 14 for , and round your answer to the nearest whole number. 39 units2 25 units2 49 units2 12 units2. MATHNATIONQuestion 6 of 10< PREVIOUS QUESTIONA cup is 6.4 cm tall, not including a 0.6 cm lip. Cups are stacked inside one another. You may want to draw a diagram tyou see how the height of the stack of cups increases. Select the function that represents the height of a stack of cupsterms of the number of cups in the stack. You make me the happiest person on earth i feel joy when i see your face when i am depressed all i have to do is to think about you and it puts me in a good mood.do i need to add more to thut is this correct if not whats the answer hindus are panthesistic. what does that mean? What is the volume of this figure? Enter your answer in the box. ft hello please help me with this Given that lines b and c are parallel, select all that apply.Which angles are congruent to 3?4726 Who is considered the founder of the french rococo style of painting? a. jean-antoine watteau b. jean-honore fragonard c. johann balthasar neumann d. jean-luc kaisersaal please select the best answer from the choices provided a b c d x -5 = 2x -8 solve this equation A High Schools football Stadium holds a total of 7,000 fans. A survey shows that of the total number of fans, 68% root for the home team. How many fans attending a football game are rooting for the home team? Please help! Which of the following types of credits would best describes home equity loans? a. closed and secured b. closed and unsecured c. open and secured d. open and unsecured please select the best answer from the choices provided a b c d 4. Which group had a major influence on planning and executing acts of sabotage before the attacks on Normandy, including drawing maps of the attack zones and destroying transportation and communicationlines?O the British Navythe Nazi Luftwaffethe US Armythe French ResistanceD 1Leslie earned $12 Friday, $20 Saturday, and $56 Sunday selling bracelets. If she sold each bracelet for the same amount of money what is the most she could charge for each bracelet? A builder drops a brick from a height of 15 m above the ground. The gravitational field strength g is 10 N/ kg. What is the speed of the brick as it hits the ground? Consecuencias para criminales que atentan contra los derechos de los nios What is density? (1 point) the amount of space occupied by a substance or body O the quantity of matter contained in a substance or body o the amount of heat contained in a body o the degree of compactness of a substance A 20 kg child and a 80 kg man are standing 10 meters apart on frictionless ice. How far from the man is the center of mass of the system?1 meter?2 meters?3 meters?4 meters? 5 meters?6 meters?7 meters?8 meters?9 meters?