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3 years ago

CAN ANYONE HELP ME WITH THIS QUESTION WILL MARK AS BRAINLIEST

Mathematics

2 answers:

sukhopar [10]3 years ago

8 0

Step-by-step explanation:

Triangle A

Use Pythagorean theorem.

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

x = √25

x = 5 cm

Triangle B:

y² = 12² + 5²

= 144+ 25

= 169

y = √169

y = 1

Sedbober [7]3 years ago

6 0

Answer:

Step-by-step explanation:

Triangle A

Use Pythagorean theorem.

x² + 12² = 13²

x² + 144 = 169

x² = 169 - 144

x² = 25

x = √25

x = 5 cm

Triangle B:

y² = 12² + 5²

= 144+ 25

= 169

y = √169

y = 13

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Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

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1 year ago

Write a real world situation that could be represented by the system of equations shown below.

natali 33 [55]

You could say:

y = 4x + 10

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Mary runs 15 miles a week, after every month she adds 3 miles.

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2 years ago

TeeVee Electronics, Inc., makes console and wide-

Tom [10]

Answer:

First we need to put all the given information in a table, that way we'll express it better into inequalities.

Cost Production Max.

Console screen (x) $600 450

Wide-screen (y) $900 200

$360,000

We have:

$600x+900y \leq 360,000$

Because they can't spend more than $360,000 in production.

$x\leq 450\\y\leq 200$

Because the number of television is restricted.

The profit function is

$P(x,y)=125x+200y$ (this is the function we need to maximize).

First, we need to draw each inequality. The image attached shows the region of solution, which has vertices (0,200), (300,200), (450, 100) and (450,0).

Now, we test each point in the profit function to see which one gives the highest profit.

For (300,200):

$P(300,200)=125(300)+200(200)=37,500+40,000=77,500$

300 console screen and 200 wide screen give a profit of $77,500.

For (450,100):

$P(450,100)=125(450)+200(100)=56,250+20,000=76,250$

450 console screen and 100 wide screen give a profit of $76,250.

<h3>Therefore, to reach the maximum profits, TeeVee Electronic, Inc., must produce 300 console screen televisions and 200 wide-screen televisions to profit $77,500,</h3>