If a rectangle has the sides 5x-3 and 6x-4 what is the area and perimeter

Answers

Answer 1

Step-by-step explanation:

[tex]A = lw[/tex]

[tex]A=(5x-3)(6x-4)[/tex]

[tex]A=30x^2-20x-18x+12[/tex]

[tex]A=30^2-28x+12[/tex]

[tex]P=2(l + w)[/tex]

[tex]P = 2(5x - 3 + 6x - 4)\\P=2(x-7)\\P=2x-14[/tex]

Answer 2

Answer:

[tex]Perimeter = 22x - 14[/tex]

[tex]Area = 30 {x}^{2} - 38x + 12[/tex]

Step-by-step explanation:

Length of rectangle (l) = 5x - 3

Weidth of rectangle (w) = 6x - 4

Perimeter of the rectangle = [tex]2(l + w)[/tex]

[tex] = > 2(5x - 3 + 6x - 4)[/tex]

[tex] = > 2(11x - 7)[/tex]

[tex] = > 22x - 14[/tex]

Area of the rectangle = [tex]l \times w[/tex]

[tex] = > (5x - 3)(6x - 4)[/tex]

[tex] = > 5x(6x - 4) - 3(6x -4)[/tex]

[tex] = > 30 {x}^{2} - 20x - 18x + 12[/tex]

[tex] = > 30 {x}^{2} - 38x + 12[/tex]


Related Questions

Identify the pattern rule for this sequence

Answers

Answer:

what sequence bruv

Step-by-step explanation:

theres nofin there

Answer:

ertg4b4tgedx3sfqawe ctxdsfawectdfsqeretcxf

Step-by-step explanation:

rt4wqcxdewqcrxfxdfewccrxweccsfcdsxdcrcwe

Find the slope of regular AB, and make sure you reduce the fraction to simpelist form 

Answers

Answer:

The slope is 1/2.

Step-by-step explanation:

how to graph y = x^2+3

Answers

Answer:

regular parabola but shifted up 3 on the y axis

Step-by-step explanation:

Mac uses 3.5 liters of water with 4
lemons to make lemonade. How many
lemons are needed if Mac uses 7 liters of
water to make lemonade?

Answers

Answer:

if I'm correct, it should be 6.125. I'm sorry if I'm wrong,

Step-by-step explanation:

take 3.5 and divide it by 4, which gives you the amount for 1 lemon. times that by 7, and you get 6.125

Answer:

8 lemons

Step-by-step explanation:

7- 3.5= 3.5

Therefore we multiple 3.5 by 2.

We always do the same on the other side.

4 times 2 equals 8

7 liters of water: 8 lemons

00:00 A truck can carry up to 2,000 pounds. The truck is carrying 1,600 pounds divided equally among 8 crates. What is the weight of each crate? Enter your answer in the box. pounds​

Answers

each crate is 200 lbs

work:
1600/8=200

8. If a runner’s power is 400 W as she runs, how much chemical energy does she convert into other forms in 10.0 minutes? E = P X t

Answers

Answer:

2400kJ

Step-by-step explanation:

Step one:

given data

power P= 400W

time = 10minutes

to seconds= 60*10 = 600 seconds

Required

the energy

Step two:

we know that Energy= power * time

E=P*t

E=400*600

E=240000

E=2400kJ

She converts 2400kJ into other forms

Using these coordinates, find the slope. (0, -6), (3, -2)

Answers

Answer:

The slope between the points (0, -6) and (3, -2) will be:

[tex]m=\frac{4}{3}[/tex]

Step-by-step explanation:

Given the points

(0, -6)(3, -2)

The slope between the points (0, -6) and (3, -2) will be:

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:-6\right),\:\left(x_2,\:y_2\right)=\left(3,\:-2\right)[/tex]

[tex]m=\frac{-2-\left(-6\right)}{3-0}[/tex]

[tex]m=\frac{4}{3}[/tex]

Therefore, the slope between the points (0, -6) and (3, -2) will be:

[tex]m=\frac{4}{3}[/tex]

(Giving brainliest!!)

Terrance packs two boxes inside a crate. The total weight of the crate and two boxes is 98.45 pounds. One box weighs 32.8 pounds, and the other box weighs 39.34 pounds. How much does the crate weigh?

A) 72.14 pounds
B) 59.11 pounds
D) 26.31 pounds

Answers

Answer:

the crate weighs 26.31

Step-by-step explanation:

add 32.8 and 39.34 together and then subtract 98.45 from the sum. ^^

Answer:

the crate weighs 26.31

Step-by-step explanation:

add 32.8 and 39.34 together and then subtract 98.45 from the sum. ^^

Step-by-step explanation:

Calculate the expression below. Use the correct
order of operations.
3x (4 - 2) + 1

Answers

Answer: 7

Step-by-step explanation:

3x (4 - 2) + 1

3x (2) + 1

6 + 1

7

Here is an expression: 4 ∙ 3ˢ Evaluate the expression when s is 1.
Help 25 points !!!!!!!!!!!

Answers

Answer:

1 -> 12s

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Which of the following is an example of a culture maintaining traditional ways?

Answers

Answer:

Amish driving buggies and using horses and mules instead of tractors

Step-by-step explanation:

VX
Mr. Chang's class has 28 students, 7 of whom are girls. Which equation shows how to determine the number of girls
in Mr. Chang's class?

Answers

28 *4/7 = 16 in Mr Chang’s class

The difference between two whole numbers is 9. Twice the smaller number is 6 more than the larger. What is the smaller number?

Answers

Answer = 3
Explanation:
27/3= 9
3x2= 6

The smaller number is 15

let

the larger number = x

the smaller number = y

Therefore,

The difference between the two whole numbers is 9 can be express as follows:

x - y = 9

Twice the smaller number is 6 more than the larger. Therefore,

2y = x + 6

Combine the equation.

x - y = 9

-x + 2y = 6

y = 15

x - 15 = 9

x = 9 + 15

x = 24

Therefore,

The larger number = 24

The smaller number = 15

read more: https://brainly.com/question/14194708?referrer=searchResults

The first coordinate of the point ( - 3, 2) indicates the point is located

Answers

Answer:

In the first coordinate

Step-by-step explanation:

For x = -3, the point is either located in 2nd or 3rd quadrant.

What is the general equation of a Straight line? What is a coordinate?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

A coordinate is represented as -

P(x, y)

where -

[x] is abscissa

[y] is ordinate

We have the following coordinate -

(-3, 2)

For x = -3, the point is either located in 2nd or 3rd quadrant

Therefore, for x = -3, the point is either located in 2nd or 3rd quadrant.

To solve more questions on geometry, visit the link below-

brainly.com/question/20400984

#SPJ2

Solve.
6x - 28 =-76. X=

Answers

6x-28=-76
+28 +28
6x = -48
-48 divided by 6
X=-8

Answer:

6x-28+28=-76+28

6x=-48

6x÷6=x

-48÷6 =-8

x=-8

Step-by-step explanation:

correct me or wrong

What is - 9 + 3 = I know its -6 but how

Answers

Answer:

You count something

Step-by-step explanation:

If you imagine 9 slots that are empty and you fill 3 of them then there is 6 empty slots so -6

x-10x+1< 20+ 5x for x = -2
Help me please

Answers

Answer:

As the x=-2 does not satisfy the inequality.

Therefore, the solution is False!

Step-by-step explanation:

Given the expression

[tex]x-10x+1<\:20+\:5x\:[/tex]

substituting the value x = -2

[tex]\left(-2\right)-10\left(-2\right)+1<20+5\left(-2\right)[/tex]

[tex]-2+20+1 < 20-10[/tex]

[tex]19 < 10[/tex]

As the x=-2 does not satisfy the inequality.

Therefore, the solution is False!

The ratio of employees who own a red car to employees who own a black car is
1:5. If there are 6 employees who own a red car, how many employees own a
black car? *

Answers

Answer:

There would be 30 black cars.

Since the ratio is 1:5

And we know that there are 6 red cars,

we basically just input it in our ratio

so it would look like 6:x

Now, we just have to plug in for x.

To do that, you have to multiply 6 by 5

To match the ratio.

So that would give us 6:30

And if we divide by 5 we should get our original ratio.

I know this seems confusing haha, but I hope you get it, it's not as hard as it looks !!

Solve the system of equations by elimination
3x+4y=9
-6x-8y=-18

A. (5,-1)
B. (5,1)
C. Infinite number of solutions
D. (1,5)

Answers

C. Infinite numbeer of solutions

Write an expression that represents the area of
the figure in square centimeters.

HELP ASAP

Answers

Answer:

its either 98 cm or 28 cm

Step-by-step explanation:

7 x 7 = 49 x 2 = 98 cm

14 x 2 = 28

solve x 3+3(x+2)=-24​

Answers

Answer: x =5

Step-by-step explanation:

[tex]x + 3 + 3(x + 2) = - 24[/tex]

[tex]x + 3 + 3x + 6 = - 24[/tex]

[tex]4x + 9 = - 24[/tex]

[tex]4x = - 24 - 9[/tex]

[tex]4x = - 33[/tex]

[tex]x = \frac{ - 33}{4} [/tex]

What is the origin and where is it located?

Answers

The origin is at (0,0)

Answer:

the origin is where the graph starts which is located at 0,0

Step-by-step explanation:

The Steelers have won 6 out of 8 Super Bowl games. What is the fraction for games won

Answers

Answer:

6/8

Step-by-step explanation:

if a store is selling 3 bottles of water for $3.24. how much would 8 bottles of water cost

Answers

Answer:

$8.64

Step-by-step explanation:

Divide 3.24 by three to get the codt of one bottle,$1.08. multiply $1.08 by 8 and we get $8.64.

answer the following questions please

Answers

Answer: 11. D 12.d 13. A

Step-by-step explanation:

Answer:

Evern though this isn’t a math question, I’ll still help you :)

11. Option D

12. Option D

13. Option B

Hope this helps! :)

It cost $15 to buy 6 pairs of socks.

Answers

thank you, I’ll be using this when I need 6 pairs of socks

8y + 4y = 24 in function form some one please help 8th grade math

Answers

Answer:

y=2

Step-by-step explanation:

I think

it's been a while since I did functions

Answer:

the answer is y=2

Step-by-step explanation:

you add 8y+4y=12y

and then divide 12 on each side

which 24/12=2

Part B
Line m has a slope of -3. Another line n is parallel to line m. What is the slope of line n?
Slope of linen is

Answers

Answer:

Step-by-step explanation:

the slope of line n is also -3 as it is parallel to m

The answer is A

Can someone answer my past questions thanks

Answers

Response:

I'll try if I can but

BRAINLIEST? Thanks!

I WILL GIVE BRAINLIEST IF YOU CAN ANSWER THESE TWO QUESTIONS!!!!

2. Darwin believes that x + b is a factor of (x + b)3 + (x + c)2 – (b - c), while Eunju
believes it is not. Who is correct? Justify your response.

3. How can you prove that x2 + 5x + 6 is a factor of x* + 5x3 + 2x2 – 20x – 24, without
using long or synthetic division?

Answers

Answer:

2. Eunju is right

3. [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex].

Step-by-step explanation:

Polynomial Remainder Theorem

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

As a consequence, if a polynomial is divisible by x-a, f(a)=0.

Part 1:

Let's make:

[tex]f(x)=(x+b)^3+(x+c)^2-(b-c)[/tex]

To find out if x+b is a factor of f(x), we find f(-b):

[tex]f(-b)=(-b+b)^3+(-b+c)^2-(b-c)[/tex]

Operating:

[tex]f(-b)=(-b+c)^2-(b-c)[/tex]

The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).

Part 2:

We must find out if [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex] without using long division or synthetic division.

We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:

[tex]x^2+5x+6 =(x+2)(x+3)[/tex]

Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.

Let's make:

[tex]f(x)=x^4+5x^3+2x^2-20x-24[/tex]

Find f(-2):

[tex]f(-2)=(-2)^4+5(-2)^3+2(-2)^2-20(-2)-24[/tex]

[tex]f(-2)=16-5*8+2*4+40-24 =16-40+8+40-24=0[/tex]

Find f(-3):

[tex]f(-3)=(-3)^4+5(-3)^3+2(-3)^2-20(-3)-24[/tex]

[tex]f(-3)=81-5*27+2*9+60-24[/tex]

[tex]f(-3)=81-135+18+60-24 =0[/tex]

Since both f(-2) and f(-3) are zero, [tex]x^2+5x+6[/tex] is a factor of [tex]x^4+5x^3+2x^2-20x-24[/tex].

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