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3 years ago

Can someone please help me!!!!

Mathematics

1 answer:

Otrada [13]3 years ago

8 0

It is true because if a is perpendicular to b and b is perpendicular to c therefore a has to be perpendicular to c also they said that all three lines are coplanar therefore the statement must be true

I hope this helped you out :)

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)

Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

$f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}$

Now, we have to find the quotient of the above expression.

So, here we go:

$Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)$

Now, we will divide the above simplest form with g(x):

$\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2$

Hence, the quotient is (x-2).

6 0

2 years ago

Read 2 more answers

A radio station requires DJs to play 2 commercials for every 10 songs they play.What is the unit rate of songs to commercial?

slavikrds [6]

The correct answer for this question is that the unit rate is 5:1. We can work this out by simplifying down the 2 commercials to every 10 songs ration, so that 10:2 becomes 5:1. We can work this out by halving the original ratio to simplify it.

5 0

2 years ago

Maya is the manager for the track team. She created a table to compare finish times from the second practice to the first

Oksi-84 [34.3K]

Answer:

Runners that decrease times are not improving

Step-by-step explanation:

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3 years ago

A computer generates 80 integers from 1 to 5 at random. The results are recorded in the table. What is the experimental probabil

matrenka [14]

The experimental probability of the computer generating a 2 is 20%.

<h3>What is the experimental probability?</h3>

The experimental probability determines the odds an event would happen based on the results of an experiment.

Experimental probability = ( number of times a 2 was generated / total number of numbers generated) x 100

(16 / 80) x 100 = 20%

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

8 0

1 year ago

An equation for annealing soda-lime glass is y(t)=−14t+500 , where t is time in minutes and y is the temperature of the glass in

beks73 [17]

An equation for annealing soda-lime glass is y(t)=−14t+500 , where t is time in minutes and y is the temperature of the glass in ˚C.

To find the y intercept , we plug in 0 for t

y intercept is the value , where time is 0 minutes

so we plug in 0 for t and find out y(0)

y(t)=−14t+500

y(0)=−14(0)+500 = 500

When t=0 , the value of y = 500

So , y intercept is (0,500)

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2 years ago