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

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


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°


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

Answers

Answer:

0.5

Step-by-step explanation:

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

f(x) = (x + 1)²

what is the domain of f? please help​

Answers

The domain is all real numbers

help me plzz im almost. out of time

Answers

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

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

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

Answers

Answer:

free points :)

Step-by-step explanation:


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

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

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.

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

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

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

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

Answers

Answer:

(3x+2)(3x−2)

Step-by-step explanation:

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 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:

https://brainly.com/question/13118993

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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

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

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

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

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

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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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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

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

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.

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.

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

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
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