Write a polynomial in standard form that represents the area of the shaded region.

Write A Polynomial In Standard Form That Represents The Area Of The Shaded Region.

Answers

Answer 1

Answer:

[tex]A=p^2-2p-3[/tex]

Step-by-step explanation:

The area for a triangle is given by:

[tex]\displaystyle A=\frac{1}{2}bh[/tex]

The base is p + 1 and the height is 2p - 6. Therefore:

[tex]\displaystyle A=\frac{1}{2}(p+1)(2p-6)[/tex]

Simplify the second term:

[tex]\displaystyle A=(p+1)(\frac{1}{2})(2p-6)=(p+1)(p-3)[/tex]

Distribute:

[tex]A=p(p-3)+1(p-3)[/tex]

Distribute:

[tex]A=p^2-3p+p-3[/tex]

Combine like terms:

[tex]A=p^2-2p-3[/tex]


Related Questions


Dividing by 1/2 is the same as multiplying by what number

Answers

Answer:

0.5

Step-by-step explanation:

The point on the graph show number of miles that Travis rode during the first 4 hours s

Answers

Answer:

20 miles in 2 hours

Step-by-step explanation:

The total number of miles is always 10 times the number of hours.

The ordered pair (2, 20) means that Travis rode 20 miles in 2 hours.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The y-axis is 100 units.

The x-axis is 10 units.

From the graph,

(2, 20) means 20 miles in 2 hours.

Thus,

The total number of miles is 100.

The total number of hours is 10.

(2, 20) represents 20 miles in 2 hours.

Learn more about coordinates here:

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Natalie is on her school's swim team. Last year, she swam the 300-meter freestyle in 3 2/3 minutes. This year she swam a shorter distance of 200-meter freestlye in 3 minutes. What is her speed for per hour for each hour for each distanc

Answers

Answer:

4909 m/hr

6000 m/hr

Step-by-step explanation:

Last Year :

Distance = 300 m

Time = 3 2/3 minutes

Speed per hour = distance / time

Time in hour = 11/3 ÷ 60 = 0.0611111 hour

300 / 0.0611111 = 4909.0918 m /hr

= 4909 m/hr

This year :

Distance = 200 m

Time = 3 minutes

Speed per hour = distance / time

Time in hour = 3 ÷ 60 = 0.0333333 hour

200 / 0.0333333 = 6000.0060 m /hr

= 6000 m/hr

Which set of side lengths form a right triangle?

A. 50 in.., 48 in.., 14.

B. 3 in.., 6 in.., 5 in.

C. 53 in.., 48 in.., 24 in.

D. 8 in.., 17 in.., 14.​

Answers

Answer:

the answer is option A

PLEASE MARK ME AS BRAINLY

Step-by-step explanation:

please help meeeeeee

Find the value of x in the diagram. Explain how you found the answer.​

Answers

Answer:

x = 65

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180° for third angle

third angle = 180° - (60 + 55)° = 180° - 115° = 65°

65° and x are vertical angles and are congruent, thus

x = 65

Answer:

x = 65 degrees

Step-by-step explanation:

Three angles are marked with their values:  55 and  60 degrees.  Thus, the third interior angle of the left triangle (unmarked) is 180 degrees - (115) degrees = 65 degrees.

This 65 degree angle and x are vertical angles.  Thus, x = 65 degrees.  This plus y form a straight angle, so y = 180 degrees - 65 degrees = 115 degrees.

what is 652.42 rounded to the hundreds place

Answers

Answer:

650.00

Step-by-step explanation:

2 is the hundreds place but since its not 5 or over it will be 0

HELP PLS THE QUESTION IS ALL IN THE PHOTO THE LENGTH OF A FOOTBALL IS 11 INCHES​

Answers

a) 120*53 1/3= 6,399.9999 about 6,400
b) 120+120+53 1/3+ 53 1/3= 346.6666 or 346 2/3
c) 11x=120
120/11= 10 10/11
x= 10 10/11

This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic
centimeters?
160 cm3
240 cm3
960 cm3
1920 cm3
PLEASE HELP ILL
GIVE BRAINLIEST

Answers

Answer:

960

Step-by-step explanation:

Boom! If I get this wrong I am bad.... :(

Answer:

960

Step-by-step explanation:

I took the test look

[tex]9x^2-4[/tex]
please simplify!

Answers

Answer:

(3x+2)(3x−2)

Step-by-step explanation:

Shen invested in a savings bond for 2 years and was paid simple interest at an annual rate of 2% the total interest that he earned was $28 how much did he invest 

Answers

Answer:

Principal = $700

Step-by-step explanation:

Simple interest = principal × rate × time

Simple interest = $28

Rate = 2% = 0.02

Time = 2 years

Principal = x

Simple interest = principal × rate × time

28 = x * 0.02 * 2

28 = 0.04x

x = 28/0.04

x = $700

Principal = x = $700

Kevin can travel LaTeX: 22\frac{1}{2}\:22 1 2miles in LaTeX: \frac{1}{3}\:1 3hour. What is his average speed in miles per hour? Group of answer choices

Answers

Answer:

67.5 mile per hour

Step-by-step explanation:

Kevin can travel LaTeX: 22\frac{1}{2}\:22 1 2miles in LaTeX: \frac{1}{3}\:1 3hour. What is his average speed in miles per hour? Group of answer choices

Speed = Distance /Time

Speed = 22 1/2 miles ÷ 1/3 hour

= 45/2 ÷ 1/3

= 45/2 × 3/1

= 67.5 mile per hour


Find the volume of the solid. Please help!!


Answers

Answer:

132 cm³

Step-by-step explanation:

Two different ways to calculate:

7×6×6= 252 "would-be" total volume.

5×4×6=120 "missing chunk" subtract that.

252-120= 132 cm³ remaining total

OR

7×2×6=84 vertical part

4×2×6=48. horizontal part. add them

84+48= 132 cm³ Total volume

a study showed that a decrease in the costs of carrots led to an increase in the number of carrots. which statements best describes this relationship

Answers

negative relationship and not a causal relationship

The table lists recommended amounts of food to order for 25 guests. Nathan is hosting a graduation party for 40 guests. There will also be guests stopping by for a short time. For ordering purposes, Nathan will count each of the 45 “drop-in” guests as half a guest. How much of each food item should Nathan order?
Fried Chicken 24 pieces
Deli Meats 3 2/3 pounds
Lasagna 10 3/4 pounds

Answers

Answer:

I think the answer is 2.3

pls help i am on a timer

Answers

Answer: (x-6)(x+1)

Step-by-step explanation:

Sum :  x2 − 5  x- 6

x2 + x-=6 x − 6

factor pair: x  2 + x − 6 x − 6

x( x+ 1 ) − 6 ( x + 1 )

rewrite from: x (x  + 1 ) − 6 ( x + 1 )

(x-6)(x+1)

Answer:

A: (x-6)(x+1)

Step-by-step explanation:

We need to find 2 numbers that add to make -5 and multiply to make -6.

We already have the numbers infront of us, so by process of elimination we can remove B and D.

For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.

If we expand A, it makes the expression that needs to be factorised because...

-6 × 1 = -6

-6 + 1 = -5

So expanding it properly we get.

x² - 6x + x - 6

Simplify.

x² - 5x -6

represent 35 in many ways

Answers

35 is an odd number and word form thirty five expanded form 30+5 and standard form 35

Answer:

............

Step-by-step explanation:

Thirty five

30+5

i need help with question 7

Find IK

Answers

Answer:

A. 46

Step-by-step explanation:

because IJ is 46 also and there both the same size.

a farmer is creating a budget for planting soybeans and wheat. planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more that $100,000 planting soybeans and wheat. Write an inequality to describe the constraints. specify what each variable represents

Answers

The inequality that represents the constraint is as follows;

200x + 500y ≤ 100000

How to solve inequality?

The inequality to describe the constraints is as follows;

Therefore,

let

x = acre of land use to plant soya beans

y = acre of land use to plant wheat

Therefore,

200x + 500y ≤ 100000

Hence, the inequality that represents the constraint is as follows;

200x + 500y ≤ 100000

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Answer:

200x + 500y ≤ 100000

Step-by-step explanation:

Given ,

The cost of planting  soybeans is $ 200 per acre

The cost of planting wheat is $ 500 per acre

The maximum amount he can spend for planting is $ 100,000


Let's assume

x = acre of land use to plant soya beans

y = acre of land use to plant wheat

We know that ,

If 'a' is the cost spend on unit item and 'b' is the number of items the total cost will be a * b

So the total amount spend for planting will be,

200x + 500y

As the amount spend cannot exceed a maximum of $ 100,000 ,

200x + 500y should be less than or equal to 100,000

Therefore we can mathematically represent it using the inequality  as,


200x + 500y ≤ 100000

Hence, the inequality that represents the constraint is as follows;

200x + 500y ≤ 100000

learn more on inequality here: brainly.com/question/13996579

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AB, CD and EF are straight lines.
AB is parallel to CD.
work out the size of angle y.

Answers

Answer:

y = 108°

Step-by-step explanation:

Since, line AB is parallel to line CD,

By the definition of corresponding angles,

m∠FPB = m∠FQD

(2x + 16)° = (3x - 12)°

3x - 2x = 16 + 12

x = 28

(3x - 12) = 3(28) - 12

             = 72°

m∠FQD + m∠EQD = 180° [Linear pair of angles]

72° + y = 180°

y = 180 - 72

y = 108°

PLXXZZZZZZZZZZZZZ HELP DONT SAY RANDOM SH JUST FOR POINTS PLZ

Answers

Answer:

2. C

3. C

Step-by-step explanation:

I'm not too sure what number 1 is about but I know that for number 2, its 12/5 and for number 3, its 0.

1. Determina cuales de las siguientes expresiones son proposiciones.
a) Sube al cuarto piso.
b) El triángulo ABC es equilátero.
c) ¿Qué es un ángulo obtuso?​

Answers

B) El triángulo ABC es equilatero

Find the value of X.

Answers

Answer:

If we don't what you're solving for we can't solve for x

Step-by-step explanation:

X=17
Step by step explanation
9x-4=12x-55
-9x -9x
-4=3x-55
+55 +55
51/3=3x/3
X=17

help me plzz im almost. out of time

Answers

No I do not agree with (2,-4) I believe the solution is (-4,2)

f(x) = (x + 1)²

what is the domain of f? please help​

Answers

The domain is all real numbers

Need help ASAP may have a reward
For you if you answer correctly :)
A.) 4
B.) -4
C.) 3
D.) -3

Answers

C, not 100% sure but yeah
I have a feeling it might be D

Select the correct answer.
What is the solution for x in the equation?
-2x + 14 + 10x = 34
A. x = 6
B. x=2/5
C. x=1/8
D. x=5/2

Answers

Answer:

the answer is D. x=5/2

Step-by-step explanation:

I think

The cost of a set of DVDs after a 25% markup can be represented by the expression c+0.25c . Simplify the expression.

Answers

Answer: 1.25c

Step-by-step explanation:

The original cost of the DVDs is given as c.

The cost of the DVDs after a 25% markup is: c + 0.25c to show that 25% of c was being added to c to increase the price.

As both numbers in the equation have the same variable attached, they can be added. c is assumed to be 1c when it stands alone.

= c + 0.25c

= 1c + 0.25c

= 1.25c

The sum of 67,42 and (6x-1) is 180 what is the value of x?

Answers

Answer:

180 - 109 = 6x-1

6x - 1 = 71

6x = 72

x = 12

Step-by-step explanation:

The total cost of making a daily taco special for a restaurant is represented by the function C(t)=2.5t+1, where t is the number of tacos made. How does the total cost change for every taco special the food truck makes? a: $1 b: $2.50 c: -$1 d: -$2.50

Answers

Given:

The total cost of making a daily taco special for a restaurant is represented by the function

[tex]C(t)=2.5t+1[/tex]

Where t is the number of tacos made.

To find:

The total cost change for every taco special the food truck makes.

Solution:

We have,

[tex]C(t)=2.5t+1[/tex]

Here, 1 is a constant because it is free from the variable and 2.5 is the coefficient of t.

It means, 1 represents fixed cost of making tacos but 2.5t changes with respect to t. Thus, 2.5 represents the addition cost of every taco special the food truck makes.

So, $2.5 is the total cost change for every taco special the food truck makes.

Therefore, the correct option is b.

Help i need help i will mark you as brainiest if your answer is right

Answers

Answer:

free points :)

Step-by-step explanation:

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