What is the area of the rectangle with the given dimensions? *

The dimensions of a rectangle are 2x - 5 and
3x + 3. Which expression represents the area
of the rectangle in simplest terms?

F 6x2 - 9x - 15
G 6x2 - 9x + 15
H 6x + 9x - 15
J 6x - 15x - 9

Answers

Answer 1

Given:

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex].

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

[tex]Area=Length\times Width[/tex]

The dimensions of a rectangle are [tex]2x-5[/tex] and [tex]3x+3[/tex]. So, the area of the given rectangle is:

[tex]Area=(2x-5)\times (3x+3)[/tex]

[tex]Area=2x(3x)+2x(3)-5(3x)-5(3)[/tex]

[tex]Area=6x^2+6x-15x-15[/tex]

[tex]Area=6x^2-9x-15[/tex]

Therefore, the correct option is F, i.e., [tex]6x^2-9x-15[/tex].


Related Questions

Andrea uses 9.2 pints of white paint and blue paint to paint her bedroom walls. 3/5 of this
amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to
paint her bedroom walls? 1)

Answers

Answer:

You'd need 2/5 of 9.2 pints of blue paint

2/5 * 9.2 = .4 * 9.2 = 3.68 pints of blue paint

Step-by-step explanation:

please show your work.​

Answers

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Which equation has a axis of symmetry of x=4 ?

Answers

I think you forgot to add the picture. However, any x = 4 equation will result in a graph with a vertical line on the x-axis. For example x = 20 will be a vertical line on x-axis 20.

Or, in a more difficult equation like this...

10x - 60 = 10

10x = 10 +60

10x = 70

x = 7,

where the graph looks like a vertical line with a point on the x axis on 7.

thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.

Answers

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

One of the measures of a triangle is 30º. If the sum of the other 2 angles is 150º and the differnce their measures is 18º what are the of the unkown angles

Answers

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

The radius of a circle is 3.8 feet find the diameter

Answers

Answer:

7.6

Step-by-step explanation:

radius is half the diameter so multiply 3.8 times 2.


 HELP PLZ DUE RN BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Step-by-step explanation:

Use the quadratic formula to find the solutions.

b

±

b

2

4

(

a

c

)

2

a

-

b

±

b

2

-

4

(

a

c

)

2

a

Substitute the values

a

=

2

a

=

2

,

b

=

6

b

=

-

6

, and

c

=

5

c

=

5

into the quadratic formula and solve for

x

x

.

6

±

(

6

)

2

4

(

2

5

)

2

2

6

±

(

-

6

)

2

-

4

(

2

5

)

2

2

Simplify.

Tap for fewer steps...

Simplify the numerator.

Tap for fewer steps...

Raise

6

-

6

to the power of

2

2

.

x

=

6

±

36

4

2

5

2

2

x

=

6

±

36

-

4

2

5

2

2

Multiply

4

-

4

by

2

2

.

x

=

6

±

36

8

5

2

2

x

=

6

±

36

-

8

5

2

2

Multiply

8

-

8

by

5

5

.

x

=

6

±

36

40

2

2

x

=

6

±

36

-

40

2

2

Subtract

40

40

from

36

36

.

x

=

6

±

4

2

2

x

=

6

±

-

4

2

2

Rewrite

4

-

4

as

1

(

4

)

-

1

(

4

)

.

x

=

6

±

1

4

2

2

x

=

6

±

-

1

4

2

2

Rewrite

1

(

4

)

-

1

(

4

)

as

1

4

-

1

4

.

x

=

6

±

1

4

2

2

x

=

6

±

-

1

4

2

2

Rewrite

1

-

1

as

i

i

.

x

=

6

±

i

4

2

2

x

=

6

±

i

4

2

2

Rewrite

4

4

as

2

2

2

2

.

x

=

6

±

i

2

2

2

2

x

=

6

±

i

2

2

2

2

Pull terms out from under the radical, assuming positive real numbers.

x

=

6

±

i

2

2

2

x

=

6

±

i

2

2

2

Move

2

2

to the left of

i

i

.

x

=

6

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2

i

2

2

x

=

6

±

2

i

2

2

Multiply

2

2

by

2

2

.

x

=

6

±

2

i

4

x

=

6

±

2

i

4

Simplify

6

±

2

i

4

6

±

2

i

4

.

x

=

3

±

i

2

x

=

3

±

i

2

The final answer is the combination of both solutions.

x

=

3

2

+

i

2

,

3

2

i

2

x

=

3

2

+

i

2

,

3

2

-

i

2

joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP

Answers

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

Judah rides his bike 15 miles in 1/2 an hour.How many miles does he ride in one hour?

Answers

30 miles in one hour
1/2 and hour=30 minutes. 1 hour=60 minutes. 30*2=60. So, 15*2=30 must be the answer.

A six-sided die is rolled 150 times.
Which of the following BEST describes how many times it is likely to land on an odd number
А
exactly 50 times

exactly 75 times
С
approximately 50 times
D
approximately 75 times
C
Kk

Answers

Answer:

approximately 75 times

Answer:

approximately 75 times

Step-by-step explanation:

What is the spread of the data?

A. 15 to 30 years
B. 18 to 25 years
C. 21 to 25 years
D. 18 to 21 years

Answers

The spread of data is A 15 to 30 years

Can someone help me on this plzzz

Answers

sub in the number
10(6)-3
=60-3
=57

If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.

Answers

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Help me with Math
( graphs )
PLEASEEE​

Answers

Ok try to look on you tube it can help a lot in this

Write a function rule for the values in the table
10
10
12
20
18
50
20
60
y=

Answers

Answer:

y = 5x - 40

Step-by-step explanation:

The function rule can be written in slope-intercept form, y = mx + b.

Let's find slope (m) and y-intercept (b) of the function, using the values given in the table.

✔️Slope (m) = change in y / change in x

Using two pair of values from the table, (10, 10) and (12, 20),

Slope (m) = (20 - 10) / (12 - 10) = 10/2 = 5

Slope (m) = 5

✔️ y-intercept (b):

Substitute (x, y) = (10, 10) and m = 5 into y = mx + b.

Thus:

10 = 5(10) + b

10 = 50 + b

10 - 50 = b

b = -40

✔️Write the function by substituting m = 5 and b = -40 into y = mx + b

Thus:

y = 5x + (-40)

y = 5x - 40

❗❗❗❗After the February phase of the revolution, what major mistake did the new provisional government make that would make it more susceptible to being overthrown?
ASAP Giving you 100 points ❗❗❗❗

Answers

Answer: c

Step-by-step explanation:

Answer:

again, did some reading, they make note of continuing battle to support Serbia. I saw nothing of Japan. so my calculated guess would be the 2nd one. to continue in battle even with heavy casualties

Step-by-step explanation:

doesn't mean I'm right though.

hello please help i’ll give brainliest

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 1/2

Explanation:

1/4 - (-1/4) = 1/4 + 1/4 = 1/2

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I f m<4=30 degrees, find m<3

Answers

m<3=60°

Answer:

m<4+m<3=90° each angle of rectangle is 90°

m<3=90-30=60°


In the accompanying diagram of circle O, mAB = 64 and
m What is the measure of CD?
A 104°
B 80°
C 52°
D 40°

Answers

Answer:

D 40°

Step-by-step explanation:

52= X + 64 /2

*2.      *2

104 = X + 64

-64        -64

40 =X

Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15

Answers

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

I'LL GIVE BRAINLIEST PLEASE ANSWER ALL FOUR PLEASE

Answers

Answer:

Step-by-step explanation:

1.) 700*0.42 = 294. Out of the 700 people at the concert, 294 are tennagers.

2.) 1.07*$450 = $481.50, including sales tax (final price)

3.) 120/(100%-85%) = 120/0.15 = 800. Original amount of water is 800 ml (Check by 800mL*0.15, which equals 120 mL)

4.) 100-35-45 = 20%

250*20% = 50; Out of the 250 sandwiches, Josh made 50 ham sandwiches.

What is the area of the triangle?
24
7
25
units 2. Help me please

Answers

Answer:

area of triangle=1/2×base×height

area of triangle=1/2×24×7

area of triangle=84unit²

i need help please this is quite hard for me

Answers

Use photomath because it is very helpful bro

As the economic prosperity of the 1990s decreased, what changes would one expect in the design of houses?

Answers

Answer:

immagrants would start to make houses out of stone sticks and hay

Step-by-step explanation:

pls mark brainlyest

Answer:

They don't like the look or it doesn't fit the style of their home. I could argue back and say that if they at least look at all the options, they might change their mind. Also, people are making new Eco-friendly products that might fit their house style every day

Step-by-step explanation:

There were 5 girls and 22 boys in Mrs. Pantoja's math class.
Write the number of girls as a fraction of the number of boys. Then write the
fraction as a decimal.

Answers

Answer:

5/22 and for the decimal it will be, 0.22727272727273.

Step-by-step explanation:

A new apartment complex is opening in College Station. The rent for each apartment is determined by its size: $1,500 for a 3-bedroom apartment, $900 for a 2-bedroom, and $500 for 1-bedroom. If all the apartments are occupied for one month, the rent revenue will be $750,000. There are 200 more 1-bedroom apartments than the number of 2-bedroom and 3-bedroom apartments combined. There are a total of 1,550 bedrooms for all 1,000 apartments. Which system of equations can be used to determine the number of 1-bedroom apartments (x), the number of 2-bedroom apartments (y), and the number of 3-bedroom apartments (z)?

Answers

Answer:

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Step-by-step explanation:

I bedroom = x

2 bedroom = y

3 bedroom = z

All the condition s gjvbbs'

500x + 900y + 1500z = 750,000 - - - (1)

x + y + z = 1000 - - - - (11)

x = 200 + y + z - - - - (111)

x + 2y + 3z = 1550 - - - (1V)

Use matrices to determine the coordinates of the vertices of the rotated figure. Then graph the pre-image and the image of the same coordinate grid. Rot90 for UVW with vertices U(-4, 7), V(5, 4), and W(5, -5).

Answers

Answer:

The answer is A

Step-by-step explanation:

just got it right on edge :)

The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

What is Rotation?

A rotation is a type of transformation that rotates each point in a figure a specific number of degrees around a particular point.

90° clockwise rotation: (x,y) becomes (y,-x) 90° counterclockwise rotation: (x,y) becomes (-y,x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y) 270° clockwise rotation: (x,y) becomes (-y,x)

When we rotate a point around the origin by 90° clockwise or anti-clockwise, (x,y) becomes (y,-x) .

- Then matrix of the rotation 90° is

[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex]

We have the point U (-4, 7) and its image is

U' =[tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}-4\\7\end{array}\right][/tex]

U' = [tex]\left[\begin{array}{ccc}-7\\-4\end{array}\right][/tex]

and, point V is (5, 4) and its image is

V' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\4\end{array}\right][/tex]

V' = [tex]\left[\begin{array}{ccc}-4\\5\end{array}\right][/tex]

and, point W is (5, -5) and its image is

W' = [tex]\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right][/tex] [tex]\left[\begin{array}{ccc}5\\-5\end{array}\right][/tex]

W' = [tex]\left[\begin{array}{ccc}5\\5\end{array}\right][/tex]

So, The images of the points are U' (-7, -4), V' (-4, 5), W' (5, 5)

Learn more about Rotation here:

https://brainly.com/question/12518192

#SPJ3

Simplify fully125y2/10xy​

Answers

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

5[5y -6] = 4[y -7]
solve the equation by balancing the equation

Answers

Answer: 2/21

Step-by-step explanation:

5[5y -6] = 4[y -7]

We first need to open the bracket to be able to solve the question

25y - 30 = 4y - 28

Collect like terms

25y - 4y = -28 + 30

21y = 2.

y = 2/21

Therefore, the value for y is 2/21.

Which equation shows a quadratic function where the vertex is at the origin?
a. y = –4x
2 + 4
b. y = 4x
2
c. y = 4x
2 + 4
d. y = −4x
2 + 4x – 1

Answers

Answer:

B. y = 4x

2 + 4

Step-by-step explanation:

sana nakatulong

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