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
Vesnalui [34]
3 years ago
11

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. A rectangle is shown wi

th length x plus 10 and width 2 x plus 5. The inside of the rectangle is shaded other than an unshaded square with length x plus 1 and width x plus 1. Write an expression for the area of the shaded region in its simplest form. Show all of your steps.

Mathematics
1 answer:
Verizon [17]3 years ago
3 0

Answer:

x² + 23x + 49

Step-by-step explanation:

Since the area of a rectangle is: A = l x w, where l = length and w = width, we can find the overall area of the shaded region by multiplying the entire area and subtracting the smaller area of the unshaded square:

(2x + 5)(x + 10) - (x + 1)² or (2x + 5)(x + 10) - (x² + 2x + 1)

Distribute/FOIL:  

2x² + 20x + 5x + 50 - x² - 2x -1

Combine like terms:

x² + 23x + 49

You might be interested in
What are the real zeros of the function g(x) = x3 + 2x2 − x − 2?
Nat2105 [25]
Upon a slight rearrangement this problem gets a lot simpler to see.

x^3-x+2x^2-2=0  now factor 1st and 2nd pair of terms...

x(x^2-1)+2(x^2-1)=0

(x+2)(x^2-1)=0  now the second factor is a "difference of square" of the form:

(a^2-b^2) which always factors to (a+b)(a-b), in this case:

(x+2)(x+1)(x-1)=0

So g(x) has three real zero when x={-2, -1, 1}
4 0
2 years ago
As long as x is not zero, x to the power of 0 is defined to be equal to 1. Using this definition, 5 to the power of 0=? , ( 6 to
Volgvan
If you ever times a number by 0 then the answer will be 0 no matter what

3 0
3 years ago
Graph the Rarabola.---Plot five points on the parabola: the vertex, two points to the left of the vertex, and tvbutton2Explanati
valentinak56 [21]

Which parabola?

y=-x^2

Equation of the parabola

y - y1 = 4p(x - x1)

The Vertex of the parabola given is (0, 0) because it does not have the values of x1 and y1.

Then Vertex = (0,0)

-Look for two values of y to the left and two points to the right.

You can choose the points that you which

x y

-3 y = -(-3)^2 = -9

-1 y = -(-1)^2 = -1

0 y = -(0)^2 = 0

1 y = -(1)^2 = -1

3 y = -(3)^2 = -9

3 0
11 months ago
18=3-3a what’s the steps
Harrizon [31]

Answer:

a=-5

Step-by-step explanation:

subtract 3 from both sides

15=-3a

divide by -3

a=-5

6 0
2 years ago
Write and evaluate the expression. Then, complete the statements. Ten less than the quotient of thirty and a number Evaluate whe
Artyom0805 [142]

Answer:

expression:  (30/t) - 10

evaluation:  30/2 - 10 = 5

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is x to the power of two plus 3x plus 5
    8·1 answer
  • What is the difference in a length between a 1 1/4 and a 3/4 inch button
    10·1 answer
  • In the right triangle shown, m∠A = 30 degrees, and BC = 6√2, how long is AC?
    5·1 answer
  • For homework Sarah had seventeen math problems and twenty-eight spelling problems. If she can finish five problems in an hour ho
    12·1 answer
  • The scatterplot below shows the relationship between the average life of carpet
    10·1 answer
  • A dealor sold copies of Computer at
    15·1 answer
  • Dr. Hemandez just started an experiment. He will collect data for 8 days. How many hours is this?
    13·2 answers
  • 4. Amachine can make 88 pens in an 8 minute time pened How many pens cani make in a minute time period Answer​
    7·2 answers
  • Help me, please LKJHCOIEUHXONIEN
    14·1 answer
  • Please help!! Time limit!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!