A square has sides with lengths of (x − 1) units. A rectangle has a length of x units and a width of (x − 2) units. Which statements about the situation are true? Select all that apply. A The value of x must be greater than 2. B The difference in the areas is 2x−1. C The area of the square is (x2 − 1) square units. D The area of the rectangle is (x2 − 2x) square units. E The area of the square is greater than the area of the rectangle.

Answers

Answer 1

Answer:

A, D, E

Step-by-step explanation:

AREA OF SQUARE

[tex](x - 1)(x - 1) = x^2 - 2x + 1[/tex]

AREA OF RECTANGLE

[tex]x(x - 2) = x^2 - 2x[/tex]

Using this we know that the difference is 1, so B is incorrect. We also know that D and E are correct because we solved for the area. C is also wrong, by the same reasoning. Now, all we need to see is if A is right. Plug in x = 2.

[tex](2)^2 - 2(2) + 1 \\= 4 - 4 + 1 \\= 1[/tex]

Because the area of the square is a square unit larger than the rectangle, the rectangle would have an area of 0, which is impossible, so A is correct.


Related Questions

Simplify each expression. Write your answer as a complex number.
4i+(2+8i)
(2-7i) - (5-3i)
(5-4i)+(2-7i)
(-3-4i) - (-3+5i

Answers

Answer:

1. 2 + 12i

2. -3 - 4i

3. 7 - 11i

4. -9i

Step-by-step explanation:

just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi

I’m just stuck
Please help

Answers

Answer:

y = 5x

Step-by-step explanation:

y = 5x

Where, y = amount of money library receives and x  = number of books sold.

So if 1 book is sold, y = 5 (1) = 5, which means y =5 (this matches answer on row 1 which says 1 book sold makes 5 bucks.)

help will mark Brainliest​

Answers

Answer:

Your answer is B.

Step-by-step explanation:

n>0 means n is greater than 0.

It is an open circle that is pointing to the right for positive values greater than 0.

Answer:Try B.

Step-by-step explanation:

what valur of x makes the equation below true? 9^5 * 9^7=9^x

Answers

Answer:

x=12

Step-by-step explanation:

(9^5)(9^7)=9^x

282429536481=9^x

Step 1: Flip the equation.

9^x=282429536481

Step 2: Solve Exponent.

9^x=282429536481

log(9^x)=log(282429536481)(Take log of both sides)

x*(log(9))=log(282429536481)

x=log(282429536481)/log(9)

x=12

What's the distance between (0,2) and (0,8)?

Answers

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

HELP for (ii)…..how do we find a?

Answers

By using the information given on the graph, we can see that a = 3.

How to find the value of a?

Here we have an exponential of the form:

[tex]y = p*a^x[/tex]

And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:

[tex]4 = p*a^0\\\\36 = p*a^2[/tex]

From the first equation we get that p = 4, replacing that on the second one we get:

[tex]36 = 4*a^2\\\\36/4 = 9 = a^2\\\\\sqrt{9} = 3 = a[/tex]

So we conclude that a = 3.

If you want to learn more about exponential equations:

https://brainly.com/question/11832081

#SPJ1

What is the slop of a line that passes through the points (-3,2) and (-6,5)

Answers

Answer:
Slope is : -1
Hey there!

Given point are (-3,2) and (-6,5)

The formula is m = Y2-Y1/X2-X1

=> m = 5-2/-6+3

=> m = 3/-3

=> m = -1

Hence the slope is -1.

What percent of 17 is 3?

Answers

Answer: 3 is 17.6471% of 17

Step-by-step explanation:

Need Help ASAP
y = 2x − 5
y = -6x + 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.

Part B: Check your work. Verify your solution and show your work.

Part C: If the two equations are graphed, what does your solution mean?

Answers

Put y 's value in second equation

2x-5=-6x+32x+6x=3+58x=8x=1

And

y=2(1)-5=-3

Solution is (1,-3)

Verification

-3=2(1)-5-3=2-5-3=-3

Verified

Will mark brainliest to anyone who can answer

Answers

Answer:
4 cm

Explanation:
Radius = 4

Using the formula: (This is just for radius):
(8π-12√³)

Use the radius to work out circumference:
C==2 π r==2··π··4=≈25.13 cm

Divide the circumference by 6 because the AB curve is 1/6 of the whole circumference:

25.13 divided by 6 = 4.188333333333333

(Corrected to 1 sig fig) 4 cm


Side note:
It is not 4 (with the pi sign at the end),
this is because the numbers do not go on infinitely.

Hope this helps!
Please give Brainliest!

Help plsss! I have no clue how to do this

Answers

Answer:

4

Step-by-step explanation:

Finding the mean :

105 + 106 + 120 + 111 + 109 + 104 + 110 + 115 / 8880/8110

Absolute Mean Deviation of each term :

|110 - 105| = 5|110 - 106| = 4|120 - 110| = 10|111 - 110| = 1|110 - 109| = 1|110 - 104| = 6|110 - 110| = 0|115 - 110| = 5

M.A.D. = 5 + 4 + 10 + 1 + 1 + 6 + 0 + 5 / 8

32/84

Find the volume of a cylinder if it has a diameter of 8 and a height of 12. Leave your answer in terms of pi
A) 64 pi
B)192 pi
C) 256 pi
D)768 pi

Answers

Answer:

  B)  192 pi

Step-by-step explanation:

The volume of a cylinder is found from the formula ...

  V = πr²h

where the radius is r and the height is h. The radius is half the diameter.

__

  V = π(8/2)²(12) = 192π . . . . . . using the given values

convert from decimal to fraction(

all steps) 0.36
[tex]0.36[/tex]

Answers

Answer:

this gives 36/100 that is the fraction for the decimal

Answer:

9/25

Step-by-step explanation:

Step 1. Multiply by 100 :

0.36 × 10036

Step 2. Divide by 100 and leave in fractional form :

36/100

Step 3. Simplify by dividing throughout 4 :

(36/4)/(100/4)9/25

DUE BEFORE 11 PM
USING THE LAW OF SINES SOLVE

Answers

Answer:

I round it to the whole number and degree.

<A = 33°

<C = 97°

C = 63

Step-by-step explanation:

Law of Sine: [tex]\frac{sinA}{A} =\frac{sinB}{B}= \frac{sin C}{C}[/tex]

[tex]\frac{sin(A)}{A} =\frac{sin(B)}{B}\\\frac{sin(A)}{104} =\frac{sin(50)}{49} \\\\sin(A)=\frac{104*sin(50)}{49}[/tex]

A = sin^-1 (104*sin(50)/49)

A = 33°

180° - <B - <A = <C

180° - 50° - 33° = 97°

[tex]\frac{sin(B)}{B}=\frac{sin(C)}{C} \\\\C =\frac{Bsin(C)}{sin(B)}\\\\C=\frac{104sin(97)}{sin(50)}\\\\C = 63[/tex]



y
is directly proportional to
x
2
.
If
y
=
112
when
x
=
4
find
y
when
x
=
9

Answers

Answer:

252

Step-by-step explanation:

Hope this helped you, and have a good day! (Please tell me if the answer is incorrect and I will try and correct it as soon as possible)

Which of the following isn't equivalent to -1.2 + 6?

A. 6 - 1.2
B. -2 (0.6 - 3)
C. (-2.4 + 12) / 2
D. -1 (1.2 + 6)
E. I don't know.

Answers

The answer is D. -1 (1.2 + 6)

The table below shows the distribution of votes for Student Government President elections.

1.What is the probability that a junior voted for Dao?

2.Voted for Wolber

3.Votes for Keegan and was from the sophomore class.

Answers

Answer:

1 out of 3 people vote for junior

Step-by-step explanation:

Help me please , you can ignore question number 1 !!!​

Answers

Answer:

See below ~

Step-by-step explanation:

Q2

Lobster = 3 veg choices x 3 beverages9 outcomes

Q3

Chicken and chopsuey = 3 beverages3 outcomes

Q4

4 main dishes x 3 veg choices x 4 beverages48 menus

13. Represent Write three different fractions
that each match the shaded part of the
drawing.

Answers

Answers:

8/12

2/3

4/6

============================================================

Explanation:

There are 8 pizza slices shaded out of 12 total.

One fraction we can form is 8/12

Divide each part by the GCF 4

8/4 = 212/4 = 3

This means 8/12 is the same as 2/3

Check out the image below to see how 8/12 and 2/3 are the same. Refer to figure 1. We have 2 slices shaded out of 3 total.

Then check out figure 2 to see how 2/3 and 4/6 are the same. By extension, this means that 8/12 and 4/6 are the same. Figure 2 shows 4 shaded slices out of 6 total.

There are infinitely many ways we can split up this pie, so there are infinitely many fractions to write as the answers.

a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m


i give brainliest to first answer

Answers

Answer & step-by-step explanation:

Please see image attached below:

Answer:
19.8 rounded to 20m
Step-by-step explanation:


reason;
Area=1/2 x perimeter x apothem
27=1/2 x p x 2.726
Divide both sides by 1/2
54= p x 2.726
Now divide both sides by 2.726 to isolate p
Answer p=19.8

3.1 How will ensure that cooperative learning In Mathematics class take place
3.2 use polya's four steps to solve the following tutorial showing all the steps:
Explain each step using the given question.
3.2.1 The sum of three consecutive numbers is equal to 39. Determine the three numbers
3.2.2 A father is five times as old as his daughter. In five years' time he will be three times as old as his daughter. Find both the ages now.

Answers

Step-by-step explanation:

The father is presently 25 years old.

And his daughter is presently 5 years old.

Therefore, the father is 5 times older than his so. Currently.

In 5 years, the father will be 30 years old and the son will be 10 years old. So the father will be 3 times the daughters age.

Y=3x+2

X
-2
-1
0
1
2

Answers

Answer:

x        y                                 ordered pair

-2      3(-2) + 2 = -4             (-2, -4)

-1       3(-1) + 2 = -1                (-1, -1)  

0       3(0) + 2 = 2                 (0, 2)

1        3(1) + 2 = 5                  (1, 5)

2       3(2) + 2 = 8                 (2, 8)

Jesse earns 9 each time he washes a car. He wants to buy a game that costs 30 How many cars does, Jesse need to wash to earn enough money to buy the game?

Answers

Answer:

Jesse would need to wash four cars.

Step-by-step explanation:

9 times 4 is 36, so Jesse would need to wash 4 cars, and if he washed only 3 cars, you would do 9 times 3 which would get you to 27, which is too little for the game he wishes to buy.

what is 2 90/100 in decimal form

Answers

The answer is 2.9 your welcome

Answer:

2 90/100 in decimal form would be 2.9.

Find the remainder when 2x^3-5x^2+x-3 is divided by (x-1)

Answers

Answer:

-7.

Step-by-step explanation:

Using the Remainder Theorem :

If  f(x) is divided by x-1 then the remainder is f(1), so

The required remainder

= f(1) =  2(1)^3 - 5(1)^2 + (-1) - 3

= 2 - 5 - 1 - 3

= -7.

Answer:

remainder = -5

Step-by-step explanation:

Divide using long division:

[tex]\large \begin{array}{r}2x^2-3x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,2x^3-5x^2+x-3\phantom{)}}}\\\underline{-~\phantom{(}(2x^3-2x^2)\phantom{-b))))))}}\\0-3x^2+x-3\phantom{)}\\ \underline{-~\phantom{()}(-3x^2+3x)\phantom{-b}}\\ 0-2x-3\phantom{)}\\\underline{-~\phantom{()}(-2x+2)}\\ -5\end{array}[/tex]

PLEASE HELP NEEDED ASAP
explain your answer clearly, questions and image below

1. What is the volume of the first cube?

2. What is the volume of the cube with sides of 24m?

3. What is the volume of the cube with sides of 7m?

4. What is the combined volume of these 2 cubes?

5. How much more gold do you get in the better option?

Answers

Answer:

1. Volume of the cube = width * length * height = 25 * 25 * 25 = 15,625 m³

2. Volume of the cube = width * length * height = 24 * 24 * 24 = 13,824 m³

3. Volume of the cube = width * length * height = 7 * 7 * 7 = 343 m³

4. Combined volume = volume cube 2 + volume cube 3 = 13,824 + 343 = 14,167 m³

5. 15, 625 - 14,167 = 1,458 more m³

—-

Have a nice day!!

Answer:

1. Volume of a cube = l³

therefore: Volume of first cube = 25³

= 15625

2. Same formula as number 1. = l³

= 24³

= 13824

3. 7³ = 343

4. Combined volume Multiplication = 15625 × 13824

or addition = 15625 + 13824

if according to question

5. Don't get paraphrase

what is "the power" of something (mathematically).

Answers

The power of a number says how many times to use the number in a multiplication.

--

For instance 6 to the power of 2

This means

Which is also equal to 36

A survey of 100 students was taken. It was found that 60 students watched sports, and 34 of these
students did not like pop music. or the students who did not water sports, 70% liked pop music.

Complete the two-way frequency table.

Answers

Answer:

[tex]\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right][/tex]

Step-by-step explanation:

70% of 40 is 28, with that number you can obtain the other data.

What I got is in the image below.

I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.

is (x-2) a factor of f(x)=x^3 -8x^2+14x-4?

Answers

Answer:

Yes

Step-by-step explanation:

Use synthetic division

2 | 1 -8  14 -4

____2 -12_4__

    1 -6   2 | 0

Thus, [tex](x^3-8x^2+14x-4)\div(x-2)=x^2-6x+2\:\text{R}0[/tex], so [tex](x-2)[/tex] is indeed a factor of f(x) since there's no remainder.

The question is attached.

Answers

Answer:

A

Step-by-step explanation:

Please see attached, I have colour coded for your convenience

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