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
vladimir2022 [97]
3 years ago
14

Find the shaded region of the figure below​

Mathematics
1 answer:
lilavasa [31]3 years ago
4 0

Answer:

-x³ + 3x² - 14x + 12

Step-by-step explanation:

Area of outer rectangle = (x² + 3x - 4) * (2x - 3)

      = (x² + 3x - 4) * 2x  + (x² + 3x - 4) * (-3)

     =x²*2x + 3x *2x - 4*2x  + x² *(-3) + 3x *(-3)  - 4*(-3)

     =2x³ + 6x² - 8x - 3x² - 9x + 12

    = 2x³ + <u>6x² - 3x²</u>   <u>- 8x - 9x</u> + 12     {Combine like terms}

    = 2x³ + 3x² - 17x + 12

Area of inner rectangle = (x² - 1)* 3x

                                       = x² *3x - 1*3x

                                       = 3x³ - 3x

Area of shaded region = area of outer rectangle - area of inner rectangle

         = 2x³ + 3x² - 17x + 12 - (3x³ - 3x)

         = 2x³ + 3x² - 17x + 12 -3x³ + 3x

        = 2x³ - 3x³ + 3x² - 17x + 3x + 12

        = -x³ + 3x² - 14x + 12

You might be interested in
What type of number is π/2
sweet-ann [11.9K]

Answer:

Step-by-step explanation:

whole number   No

integer   No

rational :  No, because pi is irrational.

irrational:  YES.  π/2 is the ratio of pi to 2, BUT pi is irrational.

7 0
3 years ago
Which of the following would be the most logical first step to solving this
NikAS [45]

Answer:

D is correct option

Step-by-step explanation:

The correct option is D.

The standard quadratic equation is ax²+bx+c=0

Where a and b are coefficients and c is constant.

It means that constant are on the L.H.S and there is 0 on the right hand side.

Therefore to make it a quadratic equation first of all you have to add 11 at both sides so that the R.H.S becomes 0.

The given equation is:

2x2-x+ 2 = -11

If we add 11 on both sides the equation will be:

2x2-x+ 2 +11= -11+11

2x^2-x+13=0

Thus the correct option is D

You can further solve it by applying quadratic formula....

8 0
3 years ago
(APEX) Factor a number, variable, or expression out of the trinomial shown below:
Ivan
Funny... I'm doing a lesson on factoring right now :) 

The Greatest Common Factor would be 4, the biggest number that divides into all of them evenly. You would factor out the 4.

4(x² - 4x + 2)
Hope this helps!!!
4 0
3 years ago
Read 2 more answers
I need help please help
Mademuasel [1]

Answer:

Step-by-step explanation:

Note that 28 + 110 + 42 = 180, and that 28 + 42 + 110 = 180 also.

Since all three angles of one triangle are the same as the corresponding angles of the other triangle, the triangles are similar.

8 0
3 years ago
What is the slope of the line?
erik [133]
Down 3 over 1
aka -3 is the slope
<span>Your first point is (1,4) The second is (2,1). Use the formula 
y-y
x-x  = slope
4-1
1-2 = slope
3
-1
3/-1 equal to -3</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • 1) Multiply and simplify. (x - 4)2
    13·2 answers
  • Select all that apply.
    7·2 answers
  • Combine any like terms in the expression. If there are no like terms, rewrite the expression.
    14·2 answers
  • The weekly salaries of sociologists in the United States are normally distributed and have a known population standard deviation
    14·1 answer
  • What is the probability that a point chosen at random on the grid will lie in the shaded region?
    9·1 answer
  • The table shows the favourite colour of 400 people.
    15·1 answer
  • Solve the equation.<br> S^2+ 7s = - 20
    11·1 answer
  • EASY MATH CHALLENGE NEED EXPLANATION 20 POINTS The board game Kings crown has, red, green, and gold gems for the players to earn
    9·1 answer
  • Hey guys I really need your help on this so basically there’s this guy at school he’s new his name is Drake and he’s the sweetes
    9·2 answers
  • ASAP PEEPS!!! Mr. Smith received a bonus of $596 from his employer. He has to pay 34% of his bonus to taxes. About how much will
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!