Write a simplified polynomial expression in standard form to represent the area of the rectangle below: A picture of a rectangle is shown with one side labeled as 2 x minus 2 and another side labeled as x plus 4. 2x2 3x − 20 2x2 13x − 1 2x2 13x − 20 2x2 3x − 1.
Answers
The Simplified polynomial expression in the standard form which represents the area of the given rectangle is,
[tex]2x^2+6x-8[/tex]
What is area of rectangle?The area of rectangle is the product of its length and width. It can be given as,
[tex]A=a\times b[/tex]
Here, (a) is the length of the rectangle and (b) is the width of the rectangle.
Given information-
One side of the rectangle is labeled as 2x-2.
Another side of the rectangle is labeled as x+4.
The image of the rectangle is attached below.
Let (l) is the length of the rectangle and (w) is the width of the rectangle.
In the below image, the length of the rectangle is,
[tex]l=4x+2[/tex]
The width of the rectangle is,
[tex]w=2x-2[/tex]
The area of the rectangle is the product of its length and width. Thus the area of the given rectangle is,
[tex]A=l\times w\\[/tex]
Put the values in the above expression as,
[tex]A=(x+4)\times(2x-2)\\A=2x^2+8x-2x-8\\A=2x^2+6x-8[/tex]
Thus the area of rectangle in simplified polynomial expression in the standard form is,
[tex]2x^2+6x-8[/tex]
Learn more about the area of rectangle here;
https://brainly.com/question/25292087
Related Questions
Need answers for 3 and 4 please.
Answers
Answer:
Note: Any number or variable(unknown) raised to the index or power zero (0)* is equal to one (1)*.
3. Solution
Given: x = 2 and y = 5
-4x^-2 + 3y^0
by substituting the values of x and y,
> -4(2)^-2 + 3(5)^0
> -4/(2)^2 + 3(5)^0
> -4/4 + 3(1)*
> -1 + 3 = 2
4. Solution
Given: x = 2 and y = 5
2x^0y^-2
by substituting the values of x and y
> 2(2)^0(5)^-2
>2(2)^0×1/(5)^2
>2(1)×1/25
>2×1/25
>2/25
what are the names of these polygons
Answers
Answer:
1. This is a Quadrilateral.
(There're 4 sides)
2. This is a Pentagon.
(There're 5 sides)
The first polygon is a quadrilateral.
The second polygon is a pentagon.
Polygons:Polygons are flat or plane, two-dimensional closed shape with straight sides.
Polygons are classified base on the number of side they possess. For example polygon with 4 sides are called quadrilaterals, the ones with 8 sides are referred to as octagons.
Therefore, the polygons above have 4 sides and 5 sides respectively.
The polygon with 4 sides is know as a quadrilateral.
The polygon with 5 sides is known as a pentagon
learn more on polygons here: https://brainly.com/question/7921826
Use given triangle to fill in the blank.
Answers
Answer:
5 over 13
Step-by-step explanation:
adjacent over hypotenuse use trigo rules
(Toa Cah Soh)
Answer: 12/13
Step-by-step explanation:
jenelle is planting a circular vegetable garden with a fence around the border. If she can use up to 50 feet of fence, what is the largest whole number radius she can use for the garden?
Answers
The Length of the fence in the example doubles as the perimeter of the circular garden. Hence the largest whole number of the radius is 8 feet
Mensuration of Plain Shapes (Circle)Given Data
Length of Fence = 50 feet
Largest Whole number Radius = ??
In this exercise, the Length of the fence is the same as the perimeter of the circular vegetable garden.
We know that the expression for the perimeter of a circle is given as
Perimeter of Circle = 2πr
From here we can solve for the Radius r
50 = 2*3.142*r
50 = 6.284r
divide both sides by 6.284
r = 50/6.284
r = 7.956 feet
r = 8 feet
Learn more about circle here:
https://brainly.com/question/24375372
Pedro bought 8 tickets to a basketball game. He paid a total of $224. Enter an equation, using x as your variable, to determine whether each ticket cost $28 or $21. Then enter the cost of the ticket.
The equation is __=__
The cost of each ticket was $__
Answers
x=224/8
x=25+3=28
So: 28
The cost of each ticket was $28
Can someone please explain this to me?
Answers
Answer:
62°
Step-by-step explanation:
Angle KPO = 90°. If you add angles KPN and NPO together, you will get 90°. Set up an equation and solve for x.
2x + x - 3 = 90
3x - 3 = 90
3x - 3 + 3 = 90 + 3
3x = 93
3x/3 = 93/3
x = 31
Now solve for the measure of KPN by substituting 31 for x.
KPN = 2x
KPN = 2(31)
KPN = 62°
Answer:
D 62
Step-by-step explanation:
Good luck
Huilan is 5 years older than Thomas. The sum of their ages is 67. What is Thomas's age?
Answers
Answer:
31
Step-by-step explanation:
hope this helps
Which numbers are factors of 12? Check all that apply
2
5
6
12
24
Answers
Answer:
2 6 12
Step-by-step explanation:
there are the only factor of 12 there
3. Which of the following has a value of 13? (5.02.2)
A. 5 + 4 x 3 - 1
B. (5 + 4) x 3 - 1
C. 5 + 4 (3 - 1)
D. (5 + 4) X (3 - 1)
Answers
Which describes the intersection of plane A and line m?
line k
line n
point X
point W
Answers
please help the answer is in the screenshot
Answers
Answer:
Their angles are equal and the sides are the same ratio
Step-by-step explanation:
Hope this helps (doesn't need much explanation)
Complete the following item. 5 < x <
16 8 11
Answers
3+8=11
8-3=5
Simplify 5^2 • 5^4
O A. 5^8
O B. 5^6
O C. 5•8
O D. 5^2
Answers
Answer:
Option B
Step-by-step explanation:
Given the following question:
[tex]5^2\times5^4[/tex]
In order to find the answer, we simply apply the exponent rule and add the exponents.
[tex]5^2\times5^4[/tex]
[tex]2+4=6[/tex]
[tex]=5^6[/tex]
The answer is option B or "5^6."
Hope this helps.
`15 is what percent of 40?
Answers
Answer:
37.5%
Step-by-step explanation:
let 15 is X % of 40,
now,
x% of 40 =15
or,X/100 ×40 =15
or,X=(15×100)/40
or,X=1500/40
orX=37.5%
Find the linear equation from this table
Answers
Answer:
y=2x+5
Step-by-step explanation:
The slope-intercept form of a linear equation is:
y=mx+b
Where m is the slope and b is the y-intercept.
We can start by finding the slope...
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can use any two x, y pairs to solve for the slope. In this case let's use (0,5) and (2,9)...
[tex]Slope=\frac{9-5}{2-0}=\frac{4}{2}=2[/tex]
The y-intercept is where the line intersects the y-axis. This means that the x value is 0. In the table we can see when the x value is 0, the y value is 5 meaning the y-intercept is 5...
y=2x+5
**ANSWER NEEDED QUICKLY** Here is a number pyramid puzzle.
Fill in each blank with a number so that every number
is the product of the two numbers directly below it.
Answers
Answer:
ready. took me 2 minutes
joelle spent 1 1/2 hours studying for her science test. Rileigh studied for 3/4 of Joelle’s time. What fraction of an hour did Rileigh spend studying?
give a Model:
Check answer with multiplication:
NO LINKS
Answers
Answer:
1¹/₈ hours
Joelle spent 1¹/₂ hours reading and Rileigh spent 3/4 of that time.
To find out how much time Rileigh spent, multiply the fractions but first convert the improper fraction to a proper fraction:
= 1¹/₂ = 3/2
= 3/2 * 3/4
= 9/8
= 1¹/₈ hours
Step-by-step explanation:
A freight train travels 1445 miles in 25 hours. What is the train’s average rate of speed?
Answers
Answer:
the train's average rate of speed would be 57.8 mph
Step-by-step explanation:
Divide 1445 with 25 and then you get your answer
brainilest pls
anyway hope this helped have an awesome day bye byeee
marco bought a 64 ounce bag of popcorn. he ate 5% of the bag with his lunch. How much popcorn did he eat at lunch?
Answers
Answer:
3.2 ouncesStep-by-step explanation:
Divide 5 percent by One Hundred,
5/100 = 0.05
Multiply 0.05 by 64
0.05x64= 3.2
what is 6 20/97 as a improper fraction?
Answers
Answer:
120/97
Step-by-step explanation:
When you're turning a mixed fraction into an improper fraction, you keep the denominator (bottem number) the same, but you times the numerator (top number) by the whole number (non-fraction number/left number)
6 * 20 = 120
Therefore it should be 120/97
This can not be simplified though (if I recall)
jim deposited $4000 into an account with 5.9% interest, compounded quarterly. assuming that no withdrawals are made, how much will he have in the account after 7 years?
Answers
Which of the following statements are true about the function y = 3x?
i. The function is a direct variation.
ii. The function goes through the origin.
iii. The constant of variation is
1/3
iv. y is 6, when x is 2.
Answers
The following statement are true about the given function
Statements i,ii, and iv
Given Data
We have the following function to analyse
y = 3x
The following statement are true/false about the given function
The function is a direct variation: this is true because an increase in the x value will increase the y valueThe function goes through the origin: for x = 0, y = 0The constant of variation is 1/3: this statement is false, the constant of the variation is 3y is 6, when x is 2: this statement is true, when we plug x = 3, the corresponding value for y is 6Learn more about variation here:
https://brainly.com/question/6499629
Answer:
I,II, and IV
Step-by-step explanation:
Help please I am stuck
Answers
Answer:
Prime numbers:
11, 61, 43, and 29.
Step-by-step explanation:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
For example:
13 has only two factors, itself and 1. So, it is a prime number.
4 has three factors, itself, 1, and 2. So, it is not a prime number.
Your other answers are correct.
Hope this helped!
10 points!
An artist has been hired to paint a mural of a sailboat on the side of a building. The original sailboat is 32 feet in length and has a mast height of 40 feet. The
artist will create the mural using a scale factor of 4:3 to relate the original dimensions to mural dimensions.
How tall will the mast of the sailboat be in the mural?
_____ ft?
Answers
Answer:
30 feet
Step-by-step explanation:
A ratio of 4:3 means that if one part can be represented by x, the original height is equal to 4 * x and the mural height is equal to 3 * x. This is because the ratio of original : mural is 4 : 3, so if one part = x, we have 4 * x : 3 * x. Therefore,
original mast height = 40 feet
4 * x = original mast height = 40 feet
divide both sides by 4 to get x
x = 10 feet
3 * x = mural mast height = 3 * 10 feet = 30 feet
i don't know the answer
Answers
Step-by-step explanation:
okay hold up a sec
3x-17=-41. answer for x pls
Answers
Answer: x = -8
Step-by-step explanation:
Move all terms that don't contain x to the right side and then solve
How to solve: First you add 17 to 17 and 17 to -41. That gives you 3x=-24. You then divide both sides by 3 which gives you -8.
The area of a rectangle is calculated using the equation Area = length x width
What is the area of rectangle ABCD?
A. 6 Square Units
B. 441 Square Units
C. 21 Square Units
D. 49 Square Units
Answers
What is the constant of proportionality in this proportional relationship? PLS I WILL MAKE U BRAINLELIST
Answers
Answer:
The constant of proportionality is [tex]k=\frac{7}{9}[/tex]
Step-by-step explanation:
Recall that the equation for direct variation is [tex]y=kx[/tex] where [tex]y[/tex] varies directly with [tex]x[/tex] and [tex]k[/tex] is the constant of proportionality.
Here, [tex]k=\frac{7}{9}[/tex] since [tex]2(\frac{7}{9})=\frac{14}{9}=1\frac{5}{9}[/tex], [tex]3(\frac{7}{9})=\frac{21}{9}=2\frac{3}{9}[/tex], and so on.
4. Lucy is k years old. She has a sister who is three years younger than she is and
another sister who is five years less than twice Lucy's age. Write an expression, in
simplified form, for the sum of the three girls' ages.
Answers
Answer:
4k - 8
Step-by-step explanation:
Lucy is k years old so we know k is an important part of this problem.
Sister 1 is 3 years younger, so she is k - 3 years old.
Sister 2 is 5 years less than twice Lucy's age therefore, she is 2k (twice Lucy's age) - 5 years old.
Now we have: k + (k - 3) + (2k - 5)
We can simplify like terms with the k's and get 4k. then we add (-3) and (-5) to get 4k - 8.
Hope this helps!
HELP!! Please answer 9 and ten with solution needed!!
Answers
Answer:
m=7 z=-12
Step-by-step explanation:
expand brackets:
8m+24=5m+45
Change sides:
8m-5m=45-24
3m=21
m=7
z-6 = 3
2z 4
Coss multiply:
4z-24=6z
4z-6z=24
-2z=24
Divide both sides by -2:
z=-12