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4 years ago

What is the point slope form of (2,0)(4,-2)

1 answer:

6 0

Youd first need the slope. (i think)
-2 - 0/ 4 - 2 so simplify this
you get -2/2 simplify that.
y = -1x is yuor equation because you dont have a y - intercept. ;)

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3 years ago

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If a load of bread cost 25 cents two years ago, how much does it cost now?

sergiy2304 [10]

Answer:.80

p-by-step explanation:

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3 years ago

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

<u>Step-by-step explanation:</u>

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

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3 years ago

A crew of highway workers paved 1/2 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?

mote1985 [20]

Step-by-step explanation:

The easiest approach is to realise that one hour is 3 times longer than

minutes. The longer the time, the more they will pave.

of a mile, in 20 minutes, how much in 60 minutes?#

They will pave 3 times more.

of a mile

You could also use the 'unitary method' where you find out how much they pave in ONE minute (divide by

) and them multiply by

to find how much in one hour.

Look at what happens:

←

exactly the same maths.

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3 years ago

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evaluate if s equals 5 and 2 equals 7 3s^2 +t^2 -3 please show how you got your work I will get brainiest

iragen [17]

$3 {(5)}^{2} + ( {7)}^{2} - 3 \\ 3(25) + 49 - 3 \\ 75 + 49 - 3 \\ = 121$

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3 years ago