Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a
perimeter represented by the expression 6x + 2. Write the expression that represents the
difference in the perimeters of Rectangle ABCD and Rectangle PQRS. Write the steps and
solution.

Rectangle ABCD Has A Perimeter Represented By The Expression 9x + 3. Rectangle PQRS Has Aperimeter Represented

Answers

Answer 1

Answer:

D. [tex] 3x + 1 [/tex]

Step-by-step explanation:

Perimeter of Rectangle ABCD = [tex] 9x + 3 [/tex]

Perimeter of Rectangle PQRS = [tex] 6x + 2 [/tex]

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

[tex] (9x + 3) - (6x + 2) [/tex]

Open Parentheses

[tex] 9x + 3 - 6x - 2 [/tex]

Collect like terms

[tex] 9x - 6x + 3 - 2 [/tex]

[tex] 3x + 1 [/tex]


Related Questions

When you reverse the digits in a certain two-digit number you decrease its value by 45. What is the number if the sum of its digits is 9?

Answers

Answer:

72

Step-by-step explanation:

x+y=9 possible numbers

1 and 8

2 and 7

3 and 6

4 and 5

9 and 0

so

81-18=63

72-27=45 so this is the right number

63-36=27

54-45=9

90-9=81

Which variable would be easier to eliminate?
- 4x - 9y= - 10
4x + 2y = 24
Оy
neither
Ох

Answers

It's easier to eliminate x because when you add both equations -4x +4x would be zero

The easier variable to eliminate is x. Because -4x+4x will be equal to 0 .
After eliminating , the equation now is -9y=-10
and 2y=24
Thus, add the equation up combine like terms. Which now is -7y=14
y=-2

•since y=-2 , now find the x value just substitute y into one of the original equation, let’s substitute to -4x-9(-2)=-10
Solve: -4x+18=-10
Subtract 18 on both side, now : -4x=-28
Divide both side by -4 and x=7
So (x,y) = (7, -2) respectively

The sign of the leading coefficient for the polynomial equation of the graph is negative positive zero

Answers

Answer:

The sign of the leading coefficient for the polynomial equation of the graph is NEGATIVE

Hope this helps!

Answer: 1 turning point

Step-by-step explanation:

we paid $75 for 15 hamburgers. What was the rate per hamburger

Answers

Answer: $5

Step-by-step explanation: $75 divided by 15 burgers is $5 per burger

Answer:

5

Step-by-step explanation:

we paid $75 for 15 hamburgers.

so 15 hamburges = $75

so 1 hamburges = 75/15 =$5

therefore ,The rate per hamburger is $5

B. Solve the following Polynomials:
1. u³ + 64​

Answers

Answer:

(4 + u)(16 – 4u + u2)

Step-by-step explanation:

64 + u3.

= 43 + u3.

= (4 + u)(42 – 4.u + u2).

= (4 + u)(16 – 4u + u2).

HELP ME PLEASE!!!!!!!!!
Which statement describes the system of equations?
5x-3y=34
x-2y=4

It has infinitely many solutions.
It has no solution.
It has one solution (24/13, -14/13)
It has one solution (8, 2).

Answers

Answer: It has one solution (8, 2).

Step-by-step explanation:

I put both equations in Desmos and the solution was (8,2)

What is 11/9 as a decimal?

Answers

Answer:

1.2 (the 2 continuing on)

Step-by-step explanation:

Just divide the numerator by the denominator and you'll get your answer

Solve this equation -3-2[4-1]

Answers

Answer:

-15

Step-by-step explanation:

(-3-2)*(4-1)

-5*3=-15

Answer:

-15

Step-by-step explanation:

By rule of pemdas, 4-1 = 3. -3 -2= -5. -5 * 3= -15.

I just need some one to explain how to do it ,​

Answers

Answer:

f(x) = (x^2-16) / (x+3)

f(x) has no horizontal asymptote.

Vertical assymptote is x = -3

Dividing the numerator by the denominator gives x - 3 remainder -7. Therefore, the oblique assymptote is x - 3.

the vertical asymptotes of the function f(x) = (5x + 1) / (x^2 + x - 6) = (5x + 1)/(x - 2)(x + 3) is x = 2 and x = -3.

the zeros of the function f(x) = (3x^2 - 3x - 6 ) / (3x - 6) = (3x^2 + 3x - 6x - 6) / (3x - 6) = (3x(x + 1) - 6(x + 1)) / (3x - 6) = (3x - 6)(x + 1)/(3x - 6) = x + 1 is x = -1

the function f(x) = (x^2 + x - 12) / (x - 3) = (x - 3)(x + 4) / (x - 3) is  --> disc = 3, x-int = (-4, 0), y-int = 4? basic shape = straight line

Step-by-step explanation:

Hope this helps! brainliest please

Jessica, Sarah, and Vincent are following music in Mr. Arnold's class. Jessica is playing the
triangle on every second beat. Sarah is playing the cymbals on every fourth beat. Vincent is
playing the tambourine on every seventh beat. On what beat will all three students all play
their instruments at the same time.

Answers

Answer:

28 beats?

Step-by-step explanation: i think you have to do LCM of 2,4 and 7

Arnold has $500 as his pocket money, he buys a bike for $200, and he payed 10% tax and payed 20$ extra. How much money did he have balance?

Answers

Answer:

$250

Step-by-step explanation:

Total money he has - $500

He buy a bike for - $200

500 - 200 = 300

Balance - $300

10% tax

10 x 300/100 = 30

300 - 30 = 270

He payed $`20 extra

170 - 20 = 250

Balance = $250

He had $250 balance in his pocket money

Hope you understand

:-)

Fifteen more than three times a number is the same as ten less than six times
the number. What is the number?

Answers

Answer:

The number: x

Step-by-step explanation:

15+3x = 6x-10

3x = 25

Answer:

40

Step-by-step explanation:

15 + 3x = 6x - 10

15 + 10 = 6x - 3x

25 = 3x

25/3 = x

To check

15 + 3(25/3) = 6(25/3) - 10

15 + 25 = 50 - 10

40 = 40

00:00
The numbers below follow a pattern.
0.007
0.07
0.7
7
Part A
What are the next two numbers in the pattern? Drag the numbers in the boxes.
70
700
7000
70000
0.007
0.07
0.7
7

Answers

Answer:

0.7 and 0.07

Step-by-step explanation:

0.7 and 00.7 hop this helped :)

2y+4x=8 Solve for y
Show steps

Answers

Answer:

y=−2x+4

Step-by-step explanation:

Let's solve for y.

2y+4x=8

Step 1: Add -4x to both sides.

4x+2y+−4x=8+−4x

2y=−4x+8

Step 2: Divide both sides by 2.

2y/2=

(−4x+8)/2

y=−2x+4

Answer:

y=−2x+4

Solve the literal equation xy - 4xz = 5 for x.

X=

Answers

Answer:

x = 5/(-4 z + y)

Step-by-step explanation:

Solve for x:

x y - 4 x z = 5

Hint: | Write the linear polynomial on the left-hand side in standard form.

Collect in terms of x:

x (-4 z + y) = 5

Hint: | Solve for x.

Divide both sides by -4 z + y:

Answer: x = 5/(-4 z + y)

9. Write the equation of the parabola in vertex form.

Vertex: (-4, 6); Point: (-2, -2)

Answers

Answer: y = − 2 ( x + 4 ) 2 + 6

Step-by-step explanation:

Find the parabola through   ( − 2 , − 2 )  with vertex  ( − 4 , 6 )  using the vertex form  y = a ( x − h ) 2 + k .

Standard Form:  y = − 2 x 2 − 16 x − 26

Vertex Form:  y = − 2 ( x + 4 ) 2 + 6

I will give you 25 points help please

Answers

Answer:

horizontal 2 units to the right, vertical translation 3 units up, vertical stretch by a factor of 4

Paula walked 4.5 miles. How many kilometers did Paula walk? I mile = 1.61 kilometers

Answers

Answer:

2.79 kilometers

Step-by-step explanation:

4.5/1.61

Evaluate the expression, if x = 5 and y = 3. x + y = 1*
Evaluate the expression,
if x = 5 and y = 3.
x + y - 1

Answers

Answer:

7

Step-by-step explanation:

If you plug in the variable for x and y you get:

5+3-1

Use the order of operations to solve:

5+3-1

8-1

7

NEED HELP ASAP Ann, Ben, and Cindy were eating strawberries. The ratio of the numbers of berries they ate is 5:5:7. If Cindy ate 30 strawberries less than Ann and Ben together, what is the total number of strawberries the three of them ate?

Answers

Answer:

170

Step-by-step explanation:

given:

Ann, Ben, and Cindy were eating strawberries.

The ratio of the numbers of berries they ate is 5:5:7.

If Cindy ate 30 strawberries less than Ann and Ben together,

find:

what is the total number of strawberries the three of them ate?

solution:

add the ratios 5 + 5 + 7 = 17

since Cindy ate 30, less than Ann and Ben together so, the equation is

7x = 5x + 5x - 30

7x - 10x = -30

x = 30/3

x = 10

ann 5 x 10 = 50

ben 5 x 10 = 50

cindy 7 x 10 = 70  

total            = 170

Answer:  170

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

Explanation:

A = number Ann ate

B = number Ben ate

C = number Cindy ate

Let x be some positive whole number

Since A,B,C is in the ratio 5:5:7, this means

A = 5x

B = 5x

C = 7x

Note how A:B:C = 5x:5x:7x = 5:5:7. We divide all parts by x to simplify the ratio.

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

Cindy ate 30 strawberries less than Ann and Ben, so

C = A+B-30

C = 5x+5x-30

C = 10x-30

Earlier in the last section we had C = 7x, and now we found C = 10x-30

Since we're talking about the same C value, we can equate and solve

C = 7x

10x-30 = 7x ... replace C with 10x-30

10x-7x = 30

3x = 30

x = 30/3

x = 10

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

With this x value, we now know that...

A = 5x = 5*10 = 50

B = 5x = 5*10 = 50

C = 7x = 7*10 = 70

Cindy's count (70) is 30 less than Ann and Ben's combined count (50+50 = 100), so that helps confirm the answer.

Further confirmation comes from 50:50:70 reducing to 5:5:7 when you divide all parts by the GCF 10.

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

The last step is to add the values of A, B and C.

A+B+C = 50+50+70

A+B+C = 100+70

A+B+C = 170

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

Side note: since A+B+C = 5x+5x+7x = 17x, this means that the final answer is a multiple of 17.

The roots of the equation x^2+bx+c =0 are -4 and 2. Find c using the quadratic formula

Answers

Answer:

Step-by-step explanation:

Hello,

c= -4 * 2 = -8 as

[tex]x^2+bx+c=(x+4)(x-2)=x^2+2x-8[/tex]

with the quadratic formula

[tex]x_1=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_2=\dfrac{-b-\sqrt{b^2-4ac}}{2a}[/tex]

And

[tex]x_1x_2=\dfrac{b^2-b^2+4ac}{4a^2}=\dfrac{c}{a}[/tex]

thanks

Before beginning voice lessons, Chad already knew how to sing 805 pieces, and he expects
to leam 2 new pieces during each week of lessons. How many weeks of lessons will Chad
need before he will be able to sing a total of 937 pieces?

Answers

Let's create an equation to find the # of weeks until Chad learns 937 pieces.

x = # of weeks

937 = 2x + 805

Subtract 805 from both sides.

132 = 2x

Divide both sides by 2

66 = x

Chad will need 66 weeks of lessons to learn 937 pieces.

SILVER IS CURRENTLY WORTH
$22.95 PER OUNCE. IF MR. JUDD
HAS 97.6 OUNCES OF SILVER,
HOW MUCH IS IT WORTH?

Answers

Answer:

2239.92

Step-by-step explanation:

22.95 x 97.6           is how i solved this.

The average of 4,-8,6,14,-3 is

Answers

Answer:  The average is 2.6

Step-by-step explanation:

The average is the same as the mean  so to find the mean of the numbers add them up and divide it by the number of values.

(4) + (-8) + (6) + ( 14) + (-3) = 13

13/5 = 2.6

-5(2x+9)? simplify the expressions by disturbing the negatives and combining like terms ​

Answers

the answer would be -10x-45

Answer:

-10x-45

Step-by-step explanation:

I need help plz hurry

Answers

Answer:

a. 7

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Define

y - (x - z)

x = -4

y = 5

z = -2

Step 2: Substitute and Evaluate

5 - (-4 - (-2))

5 - (-4 + 2)

5 - (-2)

5 + 2

7

Answer:

A. 7

Step-by-step explanation:

Plug in the values of x, y, and z: 5 - (-4 - -2)Simplify: 5 - (-4 + 2)-4 + 2 = -2Plug -2 in: 5 - (-2)Simplify: 5 + 25 + 2 = 7

I hope this helps!

In Carter County, 19% of the population lives in the county seat, while the rest live in the countryside. Suppose 3% of those living in the county seat are selected for ury duty while 4.5% of those living in the countryside are selected for Jury duty. A resident of the county is random y chosen. Let D be the event that the person is selected for ury duty. El be e event that the person is from the county seat, and E2 be the event that the person is from the countryside. Complete parts (a) through (c) below.
a. Find the probability that this person is selected for jury duty Write an equation that models the probability. Choose the correct answer below
OD. P(D) = P(DE)'P(E)
b. The probability is
(Round to three decimal places as needed.) Click to select your answer(s).

Answers

Full question attached

Answer and  explanation:

Answer and explanation attached

Which of the following ordered pairs is a solution to the graph below


(0,-4)

(-2,-6)

(8,0)

(-2,0)

Answers

Answer:

(-2, -6)

Step-by-step explanation:

Graphed is the system of inequalities

The solution of the system is the darker shaded area

Only one of the given points falls to same area:

(-2, -6)
Answer

graphed is a system of inequality .the solution of the system is the darker shaded area .

the one of the given point falls to same area ;

=> (-2,-6)

The required answer is (-2,-6)

Write the slope-intercept form of the equation of the line described by (−1, −1), parallel to y = −2x − 4

Answers

Answer:

y = -2x - 3

Step-by-step explanation:

Slope intercept form of line is

y = mx + c

where

m is the slope and c is the y intercept

________________________________________

Given that line

y = −2x − 4

comparing it with y = mx + c

m = -2 and c = -4

Thus, slope of this line is -2

we also know that when two lines are parallel then their slopes are same

thus, slope of required line will be m = -2

___________________________________________

now let the equation of line passing through (-1,-1) be

y = mx + c

we have found m to be -2

using this in above equation we have

y = -2x + c

since (-1,-1) passes through the above line using x = -1 and y = -1

we have

-1 = -2*-1 + c

-1 = 2 + c

c = -1 - 2 = -3

using c = -3 in y = -2x + c

we have

equation of line as

y = -2x - 3 in slope intercept form.

What is the equation of the line that passes through the point (4, -3) and has a slope of 1?​

Answers

Answer:

y=x-7

Step-by-step explanation:

y=mx+b

(-3)=(1)(4)+b

-3=4+b

-3=4+b

-4=-4+b

-7=b

then y=1x-7

then simplify and it gives you y=x-7

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