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3 years ago

What is the area of the shaded region? Explain please for both #9 and #12

Mathematics

1 answer:

Alja [10]3 years ago

5 0

9=30*25+25*53. which = 2975.
You have to split the shape into two smaller ones to make two rectangles and find the area of both and add them together.
With 12, you need to find the area of both shaped and subtract the triangle form the rectangle to get 93.5.

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1. Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five ove

Hunter-Best [27]

Answer: x = 6

Step-by-step explanation:

$\dfrac{3}{x}+\dfrac{1}{3}=\dfrac{5}{6}$

$(6x)\dfrac{3}{x}+(6x)\dfrac{1}{3}=(6x)\dfrac{5}{6}$ multiplied by common denominator

18 + 2x = 5x

-2x -2x

18 = 3x

÷3 ÷3

6 = x

Since "x" is in the denominator, the restriction is that x ≠ 0. If the solution was x = 0, then the solution would not be valid and would be eliminated as an answer.

Remember that "x" is just an unknown value. It is possible to add two fractions together and have their sum be a fraction.

For example: $\dfrac{1}{5} + \dfrac{2}{5} = \dfrac{3}{5}$ could be written as $\dfrac{1}{5} + \dfrac{2}{x} = \dfrac{3}{5}$ . When we solve it, we will get x = 5.

******************************************************************************************

Answer: Edward

Step-by-step explanation:

$f(x)=\dfrac{(x-1)(x+2)(x+4)}{(x+1)(x-2)(x-4)}$

The denominator cannot equal zero, so:

x + 1 ≠ 0 → x ≠ -1
x - 2 ≠ 0 → x ≠ 2
x - 4 ≠ 0 → x ≠ 4

Those x-values are the asymptotes, which is where the function is undefined.

4 0

4 years ago

A library is buying books at a constant rate of 150 books per year. The equation

zloy xaker [14]

Answer:

Step-by-step explanation:

The answer is C, because X is per year, so its 150 books per year, and the library already had is 7000 bc your adding that number to the amount of books your going to buy per year

7 0

3 years ago

Read 2 more answers

Determine the equivalent system for the given system of equations. 4x - 5y = 2 3x - y = 8

Black_prince [1.1K]

Solving the system of equations we get solution set (38/11,26/11)

Step-by-step explanation:

We need to solve the system of equations:

$4x - 5y = 2\\3x - y = 8$

Let:

$4x - 5y = 2\,\,\,eq(1)\\3x - y = 8\,\,\,eq(2)$

Multiply equation 2 with 5 and subtract both equations to find value of x:

$4x - 5y = 2\\15x - 5y = 40\\-\,\,\,\,+\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,-\\--------\\-11x=-38\\x=\frac{-38}{-11}\\x=\frac{38}{11}$

So, value of x = 38/11

Now, finding y:

Putting value of x in equation 2

$3x-y=8\\3(\frac{38}{11})-y=8\\\frac{114}{11}-y=8\\-y=8-\frac{114}{11}\\-y=\frac{8*11-114}{11}\\-y=\frac{88-114}{11}\\-y=\frac{-26}{11}\\y=\frac{26}{11}$

So, value of y = 26/11

So, Solving the system of equations we get solution set (38/11,26/11)

Keywords: System of equations

Learn more about system of equations at:

#learnwithBrainly

6 0

3 years ago

The radius of a circle is 8 meters, what is the diameter?

AlekseyPX

Answer:

16 meters

Step-by-step explanation:

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3 years ago

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Find f(x) and g(x) so that the function can be described as y = f(g(x)). (1 point) y = Four divided by x squared. + 9

wlad13 [49]

Answer:

ind f(x) and g(x) so that the function can be described as y = f(g(x)). (1 point) y = Four divided by x squared. + 9

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2 years ago