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
mixas84 [53]
3 years ago
11

Determine the area of the shaded region (grey) in the quadratic form.

Mathematics
1 answer:
NeX [460]3 years ago
4 0

Answer:

The area of shaded region is: 13x^2+6x-15

Step-by-step explanation:

We can see in the diagram that

Length\ of\ gray\ rectangle = l_g = 3x+5\\Width\ of\ gray\ rectangle = w_g = 4x-3

The area of rectangle is given by:

Area = Length * width

<u>Now for gray rectangle</u>

A_g = l_g * w_g\\= (3x+5)(4x-3)\\= 3x(4x-3)+5(4x-3)\\= 12x^2-9x+20x-15\\=12x^2+11x-15

<u>For White Rectangle:</u>

Length = l = 5-x\\Width = w = x\\A_w = l * w\\A_w = (5-x)(x)\\= 5x-x^2

Now,

The area of shaded region will be calculated by subtracting the area of white triangle from the gray triangle.

A_s = A_g - A_w\\= (12x^2+11x-15) - (5x-x^2)\\=12x^2+11x-15-5x+x^2\\=12x^2+x^2+11x-5x-15\\=13x^2+6x-15

Hence,

The area of shaded region is: 13x^2+6x-15

You might be interested in
Someone help <br> i need help
grigory [225]
The equation is :
c=24/6
the answer is :
4 ounces.
6 0
4 years ago
Read 2 more answers
A catering service offers lasagna and chicken Parmesan. Each pan serves 24 people. Right in equation to represent the number of
never [62]
P=24x (x= people) (or 24x=P)
6 0
4 years ago
Read 2 more answers
function P(x) = x4 − x3 − 11x2 + 9x + 18. Describe to the CEO what the graph looks like and, in general, how to sketch the graph
Svet_ta [14]
4th degree, so the ends both point in same direction
positive leading coefient so both ends point up

factor it to see wheere the roots are
the roots are r1,r2,r3,r4 in P(x)=(x-r1)(x-r2)(x-r3)(x-r4)
factor
P(x)=(x-3)(x-2)(x+1)(x+3)
the roots are
3,2,-1,-3

disregard negative roots becasue you can't have negative time or something
3 or 2

see my rough graph

here is rough scetch

6 0
4 years ago
How many solutions does
kvv77 [185]

Answer:

<u>Infinitely</u><u> </u><u>many</u><u> </u><u>solutions</u>

Step-by-step explanation:

There are 2 variables in this equation. Since, there are infinite many numbers, we can substitute them in x & y. This will lead to an <u>infinite</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>solutions</u><u>.</u>

6 0
3 years ago
select the correct answer. The capacity of a circular bowl varies directly with the cube of its diameter. How does the capacity
saveliy_v [14]

Answer:

A

Step-by-step explanation:

got it right on the test

3 0
3 years ago
Other questions:
  • Solve each linear equation for x.
    14·1 answer
  • 15. 3(3 + 2) + 2(x + 1) =<br> -5(x – 3)
    9·1 answer
  • 1. Which set(s) of numbers does -87 belong to?
    8·1 answer
  • Solve 4x + 11 = k for x.
    6·1 answer
  • MARKING BRAINLIEST AND GIVING LOTS OF POINTS TRIPLE PLEASE ANSWERS ASAP!!!’
    12·1 answer
  • Estimate the product. Round the first factor to the nearest whole number, round the second factor to the nearest ten, and then m
    9·1 answer
  • Li put $75 into his savings account. The money was 1/3 of his paycheck Which equation could be used to find the amount of money,
    11·1 answer
  • Show steps and I will give BRAINLIEST
    12·1 answer
  • 3. A mass spectrometer is an instrument that can be used to determine the mass of a substance. A student measured the mass of 3
    7·1 answer
  • The largest possibly circle has been cut from a piece of paper.what is the area of the remaining area . caculate the area of jus
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!