All categories

3 years ago

Fatore a equação 2x²-3xy-2y²-2x-11y-12

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

2x²-3xy-2y²-2x-11y-12

Write -3xy as a difference

2x²+xy-4xy-2y²-2x-11y-12

write -2x as a difference

2x²+xy-4xy-2y²+4x-6x-11y-12

Write -11y as a difference

2x²+xy-4xy-2y²+4x-6x-8y-3y-12

Factor out 2x from the expression

2x×(x-2y-3)+xy-2y²+4x-8y-3y-12

Factor out y from the expression

2x×(x-2y-3)+y×(x-2y-3)+4x-8y-12

Factor out 4 from the expression

2x×(x-2y-3)+y×(x-2y-3)+4(x-2y-3)

Factor out x-2y-3 from the expression

Answer: (x-2y-3)x(2x+y+4)

PLEASE MARK ME AS BRAINLIEST!!

You might be interested in

Can someone help me the 2nd problem I don’t understand it

Galina-37 [17]

Answer:

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

270 miles

Step-by-step explanation:

So is A is going faster than B so A will reach the destination first.

When will A reach it's destination?

Let's find out.

To solve this problem, the following will come in handy:

Speed=distance/time or time*Speed=distance or time=distance/speed .

time=distance/speed

$T_A=\frac{390}{S_A}$

$T_A=\frac{390}{65}$

$T_A=6$

So it will take bus A 6 hours to cover the distance of 390 miles.

How much time would have it taken bus B to reach that same distance?

$T_B=\frac{390}{45}$

$T_B=8.\overline{6}$

So it would have taken bus B $8.\overline{6}$ hours to cover a distance of 390 miles.

So the time difference is $8.\overline{6}-6=2.\overline{6}$ hours.

It will take $2.\overline{6}$ more hours than bus A for bus B to complete a distance of 390 miles.

So bus B traveled $2.\overline{6} \cdot 45=120$ miles (used the time*speed=distance) after bus A got to it's destination.

So this means the bus B covered 390-120=270 miles when bus A has already reached 390 miles.

4 0

3 years ago

Hey can you please help me posted picture of question

Naddika [18.5K]

The correct answer is option D

The solution is shown below:

$x^{2} +16 \\ \\ 
= x^{2} +(4)^{2} \\ \\ 
= x^{2} -(-1)(4)^{2} \\ \\ 
= x^{2} -i^{2} (4)^{2} \\ \\ 
= x^{2} -(4i)^{2} \\ \\ 
=(x+4i)(x-4i)
$

6 0

3 years ago

9mph in still water it takes 5hrs longer to travel 74 miles upstream than downstream find the rate of current and round to neare

prohojiy [21]

Answer:

The rate of current is 2.5 mph.

Step-by-step explanation:

The speed in the water when current is absent is 9 mph.

If the speed of the current is v mph then the upstream speed is (9 - v) mph and the downstream speed is (9 + v) mph.

Now, it takes 5 hours longer to travel 74 miles upstream than down stream, then we can write the equation as

$\frac{74}{9 - v} - \frac{74}{9 + v} = 5$

⇒ $\frac{2v}{81 - v^{2} } = \frac{5}{74}$

⇒ 148v = 405 - 5v²

⇒ 5v² + 148v - 405 = 0

Applying Sridhar Acharya's formula we can write

$v = \frac{-148 + \sqrt{148^{2} - 4(5)(-405) } }{2(5)}$ (Neglecting the negative root)

⇒ $v = \frac{- 148 + 173.2166}{10} = 2.5$ mph (Rounded to the nearest 10th) (Answer)

7 0

4 years ago

the sum of three consecutive even integers is 6 subtracted from 4 times the middle number. Find the 3 numbers

anygoal [31]

Answer:

The three consecutive even integers are 4,6,8

Step-by-step explanation:

Let the three consecutive even integers be 2x, 2x+2, 2x + 4

Middle number = 2x +2

2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6

6x + 6 = 4*2x + 4*2 - 6

6x + 6 = 8x + 8 -6

6x + 6 = 8x + 2

6x - 8x = 2 -6

-2x = -4

x = -4/-2

x = 2

The three consecutive even integers are

2x = 2*2 = 4

2x+2 = 2*2 +2 =4 + 2 = 6

2x + 4 = 2*2+4 = 4+4 = 8

8 0

3 years ago

Can someone help me solve this equation? will give brainliest

telo118 [61]

Answer:

x=20

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers