Write the side length of the square as a square root. Is the side length a rational number? Explain. a= 121

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

Note that [tex]121=11^2[/tex].

The side length of the square with an area of [tex]121=11^2[/tex] will be [tex]\sqrt{11^2}[/tex].

Recall that [tex]\sqrt{a^2}=a[/tex], so the side length is [tex]\sqrt{11^2}=11[/tex]. [tex]11[/tex] is clearly rational because it's an integer, so the answer is [tex]\boxed{yes}[/tex], it is rational.


Related Questions

If 5 more than 5 times a number is 15, what is the number?

A) 4
B) 2
C) -4
D -2

Answers

B) 2

15 = 5x + 5
10 = 5x
x= 2

Answer:

B) 2

Step-by-step explanation:

5 + 5x = 15

5x = 15 - 5

5x = 10

x = 2

In my point of view, the correct answer is B) 2

Hope it helps.

Evaluate: 17 - |2 - y| × 2 if y = -2

Answers

Answer:

9

Step-by-step explanation:

17 - |2 - y| × 2

17 - |2 - (-2)| × 2

17 - |2 +2| × 2

17 - |4| × 2

17 - 4 × 2

17 - 8

9

b. Create an equation and sketch a graph that:
• has a minimum,
• is discrete, and
• is a linear absolute value function.

Answers

Answer:

Step-by-step explanation:

Yes.

Answer:

is a linear absolute value function

Two times a number Increased by fifteen is the same as five times a number less than forty three

Answers

Step-by-step explanation:

2x+15 = 5x-43

- Add 43 to both sides

2x+58 = 5x

- Subtract 2x from each side

58 = 3x

- Divide by 3

solve for x
2x + 8 < 5x− 4

Answers

Answer:

x > 4

Step-by-step explanation:

hope this helps

There were 350 apples on the tree in March. By September there were 420 apples on the tree.
What was the percentage of change of apples on the tree? Round your answer to the nearest
tenth. *

Answers

Answer:

Step-by-step explanation:

20%

Answer:

The correct answer is 20.0% increase.

Step-by-step explanation:

In this situation, you would need to find how to find the percentage of change.

Therefore, you will need to first use subtraction, division and then multiplication to justify your answer.

--

First, find out how much the original number increased by.

[tex]420-350=70[/tex]

Next, divide the 70 with the original number, which is 350.

[tex]7[/tex] ÷ [tex]350=0.2[/tex]

Finally, to turn your decimal into a whole number, multiply by 100.

[tex]0.2[/tex] × [tex]100=20[/tex]

--

Remember to add the percent (%) symbol after receiving your final product.

20%

A classroom has 2 bookcases that weigh 135 pounds altogether. If they all weigh the same amount, how much does each bookcase weigh?

Answers

67.5 lbs each, because you divide 2 by 135 and get that answer

Choose the property that justifies the first step of simplifying the expression below.
3(-2x+5)
Property
Step
3.-2x+3.5

Answers

-2.5 is you’re answer use PEMDAS

9(b - 1) = 63
what is b? show your work will give brainlyiest

Answers

The answer is b=8 I hope it helps you should download photos math

Solve the equation and state whether the equation has one solution, no solution, or is an identity.
2a + 2 = 3 (a + 2)

Answers

Answer:

The equation has “one solution” because a = -4

Step-by-step explanation:

2a + 2 = 3 (a + 2)

2a + 2 = 3a + 6

     -2            -2

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

2a = 3a + 4

-3a   -3a

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

-1a = 4

/-1     /-1

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

a = -4

The equation has a solution which is a = -4 this means that there is "one solution".

Answer:

The equation has “one solution” because a = -4

How do you get the answer to these two questions? I don’t understand

Answers

Answer:

Hey, so it's actually pretty simple I'll try my best to explain it properly!

Step-by-step explanation:

So for the first blue circle the line that goes to the middle that's the radius. And to solve the area you need to know the radius. The formula to solve the area is A = [tex]\pi[/tex] [tex]r^{2}[/tex] so what we would do its 3.14 times 6 times 6 or 3.14 times 36 which would give us the area! Now for circumference, the equation for that is C = 2[tex]\pi r^{2}[/tex] which would look like 2 times 3.14 times 6 times 6 or 2 times 3.14 times 36 and that would give you the circumference.

State the domain and any values that are excluded from the domain of the function.

f(x) = 2x-5/x-4
I give Brainliest!

Answers

Answer:

see explanation

Step-by-step explanation:

f(x) = [tex]\frac{2x-5}{x-4}[/tex]

The denominator cannot equal zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be

x - 4 = 0 ⇒ x = 4 ← excluded value

Domain is x ∈ R , x ≠ 4

Evaluate the function.
g(x) = 3.22 – 2x + 5
Find f(2)

Answers

Answer:

[tex]g(x) = 3 {x}^{2} - 2x + 5 \\ g(2) = 3 {(2)}^{2} - 2(2) + 5 \\ g(2) = 12 - 4 + 5 \\ \boxed{g(2) = 13}[/tex]

g(2) = 13 is the right answer.

The price of an item yesterday was $130. Today, the price rose to $299. Find the percentage increase.

Answers

it increased by 70%

130%

Step-by-step explanation:

(299 - 130)/130 × 100%

= 169/130 × 100%

= 169/13 × 10%

= 13 × 10%

= 130%

12m+20=170 what is m?

Answers

Answer:

M is =======      m=12+1/2

Answer:

m = 25/2

Step-by-step explanation:

12m+20-20=170-20

12m=170-20

12m=150

12m      150

------- = --------

12          12

m=25/2

PLEASE HELP ASAP IT'S REALLY IMPORTANT!!!

Answers

Answer:

why

Step-by-step explanation:

I thought something happened to you why did u never come back,why just ghost me of all people not only once but twice

3. The breaking apart of rock by physical means is

Answers

Answer:

Weathering

Step-by-step explanation:

Weathering is the physical and chemical breakdown of rock at the earth's surface.  The physical breakdown of rock involves breaking rock down into smaller pieces through mechanical weathering processes. These processes include abrasion, frost wedging, pressure release (unloading), and organic activity.

Answer: I would like to say this is the act of weathering

Step-by-step explanation:

I hope this helps

Have a great day :)

PLEASE HELP, ITS URGENT!!


A sum of money is shared amongst three friends, Shai, Toni, and Mara in the ratio 6:5:9 respectively. If Toni received $160, how much money did Shai and Mara receive?

Answers

Answer:

Shai received $192 while Mara received $288.

Step-by-step explanation:

Let u be 1 unit.

5u=$160

u=$160÷5

=$32

6u=$32×6

=$192

9u=$32×9

=$288

m + 0 = m
what's the property of this?

Answers

Answer:

identity property of addition

Step-by-step explanation:

supose that the half-life of a cesium is 30 years. If there were initially 1000g of the substance,

a) give an exponential model for the situation
b) how much will remain after 200 years​

Answers

After 200 years, 9.84 grams of Cesium would remain.

Let N represent the amount of substance after t years

The half-life of a cesium is 30 years., hence, this can be represented by exponential function:

[tex]N(t)=ab^t[/tex]

where a is the initial value and b is the multiplier.

There were initially 1000g of the substance

a) The exponential model for this situation is:

[tex]N(t) =1000(\frac{1}{2} )^{\frac{1}{30} t}\\\\N(t) =1000(\frac{1}{2} )^{\frac{t}{30}[/tex]

b) After 200 years (t = 200), the amount of Cesium remaining is:

[tex]N(200)=1000(\frac{1}{2} )^\frac{200}{30} \\\\N(200) = 9.84g[/tex]

Hence after 200 years, 9.84 grams of Cesium would remain

Find out more at: https://brainly.com/question/24710827

Susan and Jim both babysit. Susan earns $15 for 2 hours and $30 for 4 hours. Jim’s charges are calculated using the equation t=7h+10 (t is the total and h is the hours) which statement is true


A.) Jim charges $7.00/hour, which is higher than Susan’s hourly rate


B.) Jim charges $10.00/hour, which is higher than Susan’s hourly rate


C.) Susan charges $7.00, which is equal to Jim’s hourly rate


D.) Susan charges $7.50, which is higher than Jim’s hourly rate


Please answer as soon a possible

Answers

Answer:

D.

Step-by-step explanation:

7h is the amount of money Jim makes per hour. You can find the amount of money Susan makes by dividing the amount she made to the hours:

15/2 = 7.50

Susan charges $7.50, which is higher than Jim's hourly rate. which is the correct answer would be a statement (D)

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

To find the hourly rate for Jim, you can plug in different values for h (the number of hours) in the equation t = 7h + 10 and solve for t (the total). For example, if h = 1, then t = 7(1) + 10 = 17. This means that if Jim babysits for 1 hour, he charges $17.

If you divide the total amount that Jim charges by the number of hours he works, you get his hourly rate. In this case, the hourly rate is t/h = 17/1 = $17/hour.

To find Susan's hourly rate, you can divide the total amount that she charges by the number of hours she works. For example, if Susan babysits for 2 hours, she charges $15, so her hourly rate is $15/2 = $7.50/hour. If Susan babysits for 4 hours, she charges $30, so her hourly rate is $30/4 = $7.50/hour.

Since Susan charges $7.50/hour, which is higher than Jim's hourly rate of $17/hour, the correct statement is D.) Susan charges $7.50, which is higher than Jim's hourly rate.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ2

I NEED HELP If right will make brileintest


Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.


Graph of two lines. f of x passes through 2, 0 and 3, 2, and g of x passes through two thirds, 0 and 1, 2.


3

one third

negative one third

−3

Answers

Answer:

k=4

Step-by-step explanation:

So we have the graphs of f(x) and g(x).

And we know that g(x) is defined as  f(kx), where k is some constant.

First, from the graph we can note two points:

For g(x), we have the point (1,10) and for f(x), we have the point  (4,10).

ok now can you give me brainlest

Hats are on sale for 45% off. Phyllis uses the expression p−0.45p to find the new price of a hat that originally cost p dollars.Use the drop-down menus to complete each sentence.

Answers

Answer:

The expression p−0.45p can be simplified to  0.55 p.

This means Phyllis can find the new price of a hat by finding  55 % of the original price.

Step-by-step explanation:

The given expression describes that the price of the Hat would be 55% of the original price.

Given that,
Hats are on sale for 45% off. Phyllis uses the expression p−0.45p to find the new price of a hat that originally cost p dollars.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
Given expression,
= p−0.45p
Simplify further,
= 0.55p
The above expression implies that the outcome is 55% of p, where p is the original price of the Hats.

Thus, the given expression describes that the price of the Hat would be 55% of the original price.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

8. Write the following inequality in slope-intercept form. 6x + 2y = -46

Answers

The answer is y= –3x –23

What is -6x multiplied by y

Answers

✿ ✿ ✿ ✿ ✿ [tex]Hi! :)[/tex] ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶ ✶

[tex]QUESTION:[/tex]

What is -6x multiplied by y?    ✱  ✱  ✱  ✱  ✱

[tex]ANSWER:[/tex]  

[tex]-6xy[/tex]

Hope this helps you!

Good luck on your assignment & enjoy your day!

[tex]GraceRosalia[/tex]

~Just an emotional teen who listens to music

Please help me with this problem

Answers

Answer:

ΔAOK ≅ ΔBOL by SAS

Step-by-step explanation:

Hello there!

We are given:

Line segment AB intersects line segment KL at point O

O is the midpoint of AB

O is the midpoint of L

We want to prove that ΔAOK is congruent to ΔBOL

From the given picture, line segments AK and LB don't exist, but we can draw them in

Once we've drawn them in, we can use the given information to help us

Since O is the midpoint of AB, AO = OB by the definition of a midpoint

O is also the midpoint of LK, and because of that, LO=OK, also because of the definition of a midpoint

Since O is the intersection of AB and KL, that means that O would help form the vertical angles <LOB and <KOA (which are congruent because of vertical angles theorem)

Now, we have 2 sides and an angle which are congruent.

In the answer, we already have ΔAOK filled in

Remember that when naming congruent triangles, the congruent pieces need to match

A corresponds with B

O corresponds with O

K corresponds with L

So, that means ΔAOK ≅ ΔBOL

The reason is because of SAS (side-angle-side). The reason why it's SAS is because we have 2 pairs of congruent sides and one angle which is congruent

Please see the picture below if you'd like a visual aid

Hope this helps!

matthew paid 49.45 for 5 used video games of equal cost. the relationship between the number of video games and the total cost is proportional. what is the total cost for 11 used video games? use any strategy

Answers

Answer:

$108.79

Step-by-step explanation:

49.45÷5=9.89

9.89=the cost for 1 video game

9.89×11=108.79

(11=the used video games)

The answer would be $108.79 for 11 used video games.

Can someone help me do this i need helpppp

Answers

AngleA= angle D
5x+2=87
5x=85
X=17

180-87-42=51

Angle C= angle F
3y=51
Y=17

Rewrite the following mixed number as a decimal.
17 37/50

Answers

The answer is 35.34 step-by-step with detailed explanation how to convert 35 17/50 as a decimal number. note that 35 17/50 is a mixed number, also known as mixed fraction. It has a whole number plus a proper fraction. The numbers in the mixed fraction are defined as follow :

35 = whole number
17 = numerator
50 = denominator

In order to convert mixed number 35 17/50 to decimal form Convert the proper fraction to decimal: Divide the numerator by the denominator
17 ÷ 50 = 0.34
Add this decimal number to the whole number of the mixed fraction
35 + 0.34 = 35.34
The mixed number 35 17/50 converted to decimal number is therefore:
35.34
17 37/50=17+(37÷50) therefore your answer would be 17.74

I have be stuck on this for a while pleeeeez help me with it.

Answers

Answer:
88$

Step by step explanation:
Ok, so if you have two friends that means that you have three people working including you, so keep that in mind

If you add up all the costs 75+84+105 you get 264$ which is the amount of full money you’re team will receive, BUT you have to divide it between the three of you, so divide that by three and you get (264/3= 88$)

Hope that helps

Answer:

$88

Step-by-step explanation:

75+84+105 = 264

264/3 = 88

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