1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anna71 [15]
3 years ago
5

Write an expression for the area of the shaded region in its simplest form. Show all of your steps.

Mathematics
1 answer:
netineya [11]3 years ago
6 0
The area of the shaded region is going to be the area of the rectangle minus the area of the square.

Area of a rectangle is L * W.
A = L * W
A = (x + 10)(2x + 5)
A = x(2x + 5) + 10(2x + 5)
A = 2x^2 + 5x + 20x + 50
A = 2x^2 + 25x + 50 .....this is the area of the rectangle

area of a square is : A = a^2...where a is one side
A = (x + 1)^2
A = (x + 1)(x + 1)
A = x(x + 1) + 1(x + 1)
A = x^2 + x + x + 1
A = x^2 + 2x + 1

now we subtract the area of the square from the area of the rectangle to get the area of the shaded region.

2x^2 + 25x + 50 - (x^2 + 2x + 1) =
2x^2 + 25x + 50 - x^2 - 2x - 1 =
x^2 + 23x + 49 <== the area of the shaded region
You might be interested in
What is the slope and y-intercept of the linear equation y = 5x − 4?
noname [10]

Answer:

slope =5 and y intercept = -4

Step-by-step explanation:

This is in the form

y= mx+b  where m is the slope and  b is the y intercept

y = 5x-4

slope =5 and y intercept = -4

3 0
3 years ago
The number of bricks on the bottom row was 21, and each row above it had 2 fewer
emmainna [20.7K]

Answer: 121

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How do you do this question?
likoan [24]

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

8 0
3 years ago
8x - 9 - 5x = 3x - 36 - 18x
makkiz [27]

Answer:

8x - 9 - 5x = 3x - 36 - 18x \\ 8x - 5x - 9 = 3x - 18x - 36 \\ 3x - 9 =  - 15x - 36 \\ 3x =  - 15x - 36 + 9 \\ 3x =  - 15x - 27 \\ 3x +  - 15x =  - 27 \\  - 12x =  - 27 \\ x =  \frac{ 27}{12}

8 0
3 years ago
Plug in the point to determine if it is on the circle<br> (x – 3)² + y2 = 4<br> (5,0)
Butoxors [25]

Answer:

yes

Step-by-step explanation:

(5_3)^2+2(0)=4

substitute with the 5 to x and 0 to y

8 0
3 years ago
Other questions:
  • Anyone know the answer?
    13·1 answer
  • Denise is making bean bags. she has 6.4 pounds of beans. if she makes each bean bag 0.8 pounds,now many bean bags will she be ab
    7·1 answer
  • If twenty students danced, how many students attended the dance?
    12·1 answer
  • The quotient of 5 plus d and 12 minus w
    5·1 answer
  • What decimal is written in words five and four hundred sixty seven ten thousandths
    12·2 answers
  • Plzzzzz help me quickly! 20 points to whoever gets correct and I will award brainiest! A lawn service company uses the function
    13·2 answers
  • Please answer this correctly. I want genius,expert or ace people to answer this correctly
    7·1 answer
  • If x=5 and z=4 what does y= ?
    15·1 answer
  • If 1+1=2 then what's 2+2
    8·2 answers
  • Which expression represents the number that is four times as large as the sum of 8 and 160
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!