Determine if \sqrt{36} 36 is rational or irrational and give a reason for your answer.

Answers

Answer 1

Answer:

Step-by-step explanation:

It's rational. The square root of 36 is either 6 or -6. Both are rational because both are integers.


Related Questions

line r passes through on the same spot on the y axis as line z and also passes through the point (1,4). If the equation for line z is y= -2x + 3, what is the equation of line r

Answers

Answer:

r= x + 3

Step-by-step explanation:

They share the same y intercept so we can know the vertical shift up. The Y intercept of line z would be 3, so line r would share the intercept too. From this we can find that the slope would be one since moving one unit to the right also makes the equation go 1 unit up, from (0,3) to (1,4). This would mean that the equation of line r is r= x + 3

1. Calculate the slope of a line going trough A (-4,3) and B (0,6)
2. Calculate the slope of a line with a run of 3 and a rise of 9
3. Calculate the equation if two points are (1,6) and (5,0)

Answers

1. 1/2 2. 3 3. x=-1.5x+7.5

The diagram shows three points P, Q and R on horizontal ground.
PQ = 50 m, PR = 100 m and angie PQR = 140°.Calculate angle PRO.

Answers

Answer:

5.53°

Explanation:

Law of sines.

A plank 6m long leans against a vertical wall so that the foot of the plank is 4m away from the wall. A lizard climbs 2m up the plank. Calculate the horizontal distance between the lizard and the wall.

Answers

Answer: [tex]\dfrac{8}{3}\ m[/tex]

Step-by-step explanation:

Given

Length of the plank is [tex]6\ m[/tex]

Foot of the flank is [tex]4\ m[/tex] away from the wall

Lizard climbs 2 m up the wall

from the figure, the two triangles are similar

[tex]\therefore \dfrac{2}{6}=\dfrac{x}{4}\\\\\Rightarrow x=4\times \dfrac{2}{6}\\\\\Rightarrow x=\dfrac{4}{3}\ m[/tex]

So, the distance from the wall is

[tex]\Rightarrow 4-x\\\\\Rightarrow 4-\dfrac{4}{3}\\\\\Rightarrow \dfrac{8}{3}\ m[/tex]

Consider the formula for the slope between two coordinate points, m, shown below.

Answers

Answer:

D

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

m(x2-x1)= y2-y1

y2= m(x2-x1) + y1

HELP QUICK

Question 1 (1 point)
A wave travels at 3 000 m/s. If its wavelength is 6.0 m, what is its period?

Answers

Answer:

0.002 seconds

Step-by-step explanation:

Wave period = Wavelength/Velocity

Period = 6/3,000

Period = 0.002 seconds

HELP ME PLSSSSS I NEED HELP PLS PLS PLS ITS PYTHAGOREAN THEOREM

Answers

H=9ftB=6ft

Using Pythagorean thereon

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=9^2-6^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=81-36[/tex]

[tex]\\ \Large\sf\longmapsto P^2=45[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{45}[/tex]

[tex]\\ \Large\sf\longmapsto P=6.3ft[/tex]

There are 4 buses for a field trip for 4th graders and each bus accommodates the same number of students. If there are 76 students going to a trip, how many are on each bus?

Answers

Answer:

19

Step-by-step explanation:

divide 76 by 4

19 because 76 divided by 4 is 19

The triangle on the grid will be translated two units down.

On a coordinate plane, triangle A B C has points (2, 1), (0, negative 1), (2, negative 1).

Which shows the triangle when it is translated two units down?
On a coordinate plane, triangle A prime B prime C prime has points (0, negative 1), (0, negative 3), (2, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (0, 1), (negative 2, negative 1), (0, negative 1).
On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 1).

Answers

Given:

The vertices of the triangle ABC are A(2, 1), B(0,-1), C(2, -1).

To find:

The vertices of the image of triangle ABC if ABC is translated two units down.

Solution:

It is given that the triangle ABC is translated two units down. So, the rule of translation is:

[tex](x,y)\to (x,y-2)[/tex]

Using this rule, we get

[tex]A(2,1)\to A'(2,1-2)[/tex]

[tex]A(2,1)\to A'(2,-1)[/tex]

Similarly,

[tex]B(0,-1)\to B'(0,-1-2)[/tex]

[tex]B(0,-1)\to B'(0,-3)[/tex]

And,

[tex]C(2.-1)\to C'(2,-1-2)[/tex]

[tex]C(2.-1)\to C'(2,-3)[/tex]

The vertices of the image are A'(2,-1), B'(0,-3), C'(2,-3).

Therefore, the correct option is C.

Answer:

C.

Step-by-step explanation:

the sum of four consecutive even numbers is 1052. find these numbers

Answers

Answer:

Answer is down below.

Step-by-step explanation:

To find the answer, we will have to use basic Algebra in order to view the solution.

Let the first number be = x

Let the second number be = x+2

Let the third number be= x+4

Let the fourth number be= x+6

(We did the x+ part because consecutive means following continuously..)

Now let's put the equation:

x+x+2+x+4+x+6 = 1052

Let's add all the variables and numbers separately in order to simplify:

4x+12 = 1052

Subtract 12 on both sides.

4x = 1040

Divide 4 on both sides

x = 260

Now, we know the value of x. Let's put it in our numbers.

Let the first number be = x = 260

Let the second number be = x+2 = 262

Let the third number be= x+4 = 264

Let the fourth number be+ x+6 = 266

Now, let's double check to see if our answers are correct.

260+262+264+266 = 1052

Valla! They are.

Hope this Helps! Please Mark Brainliest!

Mark Brainliest please

Answer : 260,262, 264 & 266


Let the four consecutive even numbers be:

(X), (X+2), (X+4), (X+6)
Their sum is 1052.

(X) + (X+2) + (X+4) + (X+6) = 1052


Expanding

4X + 12 = 1052

4X = (1052 - 12) = 1040

X = 260
(X+2) = 260+2 = 262
( X+ 4) = 260 + 4 = 264
(X+6) = 260+6 = 266

‼️Please help‼️ I don’t understand

Answers

Hey no pictures are attached
There’s nothing attached

Full working out for this question please.

Answers

Answer:

d 28.8cm2

Step-by-step explanation:

1/2BH

1/2() 12.8() 4.5

28.8

( 1,-2), gradient = -3​

Answers

Answer:

if you are required to find the equation of a straight line use the formula y-y1= m (x-x1)

y+2=-3(x-1)

y+2=-3x+3

y= -3x+3-2

y -3x+1

hope this helps

Answer:

y = -3x + 1

Step-by-step explanation:

(y -(-2)) = -3(x-1)

y+ 2 = -3x+ 3

y = -3x + 1

Elliot is 2 times as old as Tanya. 10 years ago, Elliot was 4 times as old as Tanya​. How old is Elliot now?

Answers

Answer:

Step-by-step explanation:

To solve this, we are going to make an age table:

                       Age Now                 Age 10 years ago

Tanya

Elliot

Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:

            Age Now                Age 10 years ago

Tanya         x

Elliot         2x

Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:

         Age Now                Age 10 years ago

Tanya     x                              x - 10

Elliot      2x                           2x - 10

Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:

10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:

2x - 10 = 4(x - 10) and

2x - 10 = 4x - 40 and

-2x = -30 so

x = 15. That means that Elliot is 30 and Tanya is 15

-URGENT- please helppp-

Answers

Answer:

Last option. She didn't use the reciprocal.

Answer:

The second, third, and fourth

Step-by-step explanation:

When you multiply two fractions, you multiply the numerator and denominator, not add them. Also, when you divide by a fraction and want to turn it into multiplication, you multiply by the reciprocal, which she didn't do. Hope this helps!

Given: j(x) = x2 - 2x + 1
Which set of values represents the range of the function for the domain {0, 1, 5}?

Answers

Answer:

{1, 0, 16}

Step-by-step explanation:

given..

j(x) = x^2-2x+1

put all given values of domain (1,0 and 5 ) in the equation..

the values you get are range of the function

Answer: 1

Step-by-step explanation

0(2)-2(0)+1=0+0+1= 1

1(1)-(2)(1)+1=1-2+1= 1

(5)(2)-(2)(5)+1=10-10+1= 1

Help pleaseeeee like ASAP

Answers

Answer:

m is slope and y is the intercept

what is the rule for the reflection

Answers

Step-by-step explanation:

We reflect We triangle across both axis so the x and y values will both switch.

Our triangle is originally in the second quadrant but then go to the 4the after we reflect it.

Second Quadrant are

^;8+1—](

What is the solution to this equation?
6(x - 3) = 3x + 9
OA.X-1
OB.X=9
OC.X=3
OD X=-3
NO WRONG ANSWERS ILL REPORT YOUR ANSWER

Answers

6(x-3)=3x+9

6x-18=3x+9

6x-3x=18+9

3x=27

x=27 ÷3

x=9

Hope this will help you

The solution is x = 9, which is an option (B).

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's simplify the equation by distributing 6 on the left-hand side:

6x - 18 = 3x + 9

Now, let's isolate the x terms on one side and the constant terms on the other side:

6x - 3x = 9 + 18

3x = 27

x = 9

Therefore, the solution to the equation 6(x - 3) = 3x + 9 is x = 9, which is option B.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ7

Finding the missing length in a figure

Answers

Answer:

8 cm

Step-by-step explanation:

The length of the whole shape is 13. On the right side, it says the length is 5 cm. You use 13-5 to get the missing length.

Answer:

the answer is 8 cm

Step-by-step explanation:

The base of the pyramid is a regular hexagon. Find the volume of the pyramid. Round your answer to the nearest tenth.

pls pls help answer

Answers

Answer:

216.5

Step-by-step explanation:

Pyramid volume=(area of the base)*(height)/3

Pyramid volume=(area of hexagon with side 5)*(height)/3

Area of hexagon is 3*sqrt(3)*(side)^2/2=75*sqrt(3)/2

Pyramid volume=10*(75*sqrt(3))/(2*3)=216.5

Translate this sentence into a multi-step equation Six more than the quotient of a number and 8 is equal to 2.

Answers

Answer:

6+n/8=2

Step-by-step explanation:

* More Than = (+) or in some cases (>)

* Quotient of a (#) = Any letter that represents a number, so in this case "n", because we do not know that number yet. We divide this with "8" because it says "and 8".

* Equal = <---

The graph shows a probability distribution.
What is P(X < 3)?

Answers

Answer:

6/20 = 3/10 = 30%

Step-by-step explanation:

please answer this!!​

Answers

The answer is C, because all those numbers equal 12 :)

Write two different mixed numbers where the LCD (lowest common denominator) is 15.

Answers

Answer:

1. 2 7/15

2. 4 2/15

Step-by-step explanation:

I just made up mixed numbers that have a denominator of 15. I hope this helps you!

What do you know about the slope when y2 - Y1 = 0?
А. The slope is undefined.
B
The slope is zero
c. The slope is positive.
D. The slope is negative.

Answers

Step-by-step explanation:

c. The slope is positive.

hope this helps you

have a nice day

Solve for x 3x -y =12

Answers

Answer:

[tex]\displaystyle x= \frac{y + 12}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle 3x - y = 12[/tex]

Step 2: Solve for x

[Addition Property of Equality] Add y on both sides:                                     [tex]\displaystyle 3x = 12 + y[/tex][Division Property of Equality] Divide 3 on both sides:                                  [tex]\displaystyle x = \frac{12 + y}{3}[/tex]

Answer:

x =  y + 12 / 3

Step-by-step explanation:

3x - y =12

3x = y + 12

x = y + 12 / 3

Vector u has its initial point at (-7, 2) and its terminal point at (11, -5). Vector v has a direction opposite that of vector u, and its magnitude is three times the magnitude of u. What is the component form of vector v?

A. v = <-54, 63>
B. v = <-162, -63>
C. v = <-54, 21>
D. v = <-162, 21>

Answers

Answer:

Answer is C) V= <-54,21>

Step-by-step explanation:

Compenent form of v is <-54,21>

In a circle with center P and radius 10cm. If one of the chord is of length 12 cm.

Then find the distance of the chord from the center.​

Answers

Look at the attachment

The line bisects the cord which we have to find

Length of chord=12cmHalf of the cord=12/2=6cmRadius=10cm

Its a right angle triangle

using Pythagorean theorem

[tex]\boxed{\sf P^2=H^2-B^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{H^2-B^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{10^2-6^2}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{100-36}[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{64}[/tex]

[tex]\\ \Large\sf\longmapsto P=8cm[/tex]

Distance of the chord from centre is 8cm.

Combine like terms. (Simplify your answer completely.)
2/5x+6+8/5x

Answers

Answer:

16/5x

Step-by-step explanation:

as there is 2 5x so it will be 2 by 5x +6+ 8 by 5x

next there is two 5x and it will be 1 5x

then we will add 2+6+8=16

and there is already 5x ..simple.

hope it will help

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