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Brut [27]
3 years ago
15

Factor by grouping : xy + 6y - 2x - 12 (if you don't know the answer don't comment)

Mathematics
1 answer:
alexira [117]3 years ago
6 0
<h3> Hey There today we will solve your problem</h3>

First we will factor out y from xy+6y which gives us y(x+6)

Next we will factor out -2 from -2x-12 which gives us -2(x+6)

This gives us the equation

y(x+6)-2(x+6)

then factor out the common term  x+6<em> and we get</em>

<em />\left(x+6\right)\left(y-2\right)

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On the day after my birthday this year, I can truthfully say: "The day after tomoroow is Monday". ON which day is my birthday?
borishaifa [10]

Answer:

Saturday

Step-by-step explanation:

2 days before (starting from Monday) is Saturday

8 0
2 years ago
How much servings of mashed potatoes can jack make with 15 cups of milk
inn [45]
He can make 20 servings
4 0
3 years ago
Suppose cos(x)= -1/3, where π/2 ≤ x ≤ π. What is the value of tan(2x). EDGE
AVprozaik [17]

Answer:

D

Step-by-step explanation:

We are given that:

\displaystyle \cos x = -\frac{1}{3}\text{ where } \pi /2 \leq x \leq \pi

And we want to find the value of tan(2<em>x</em>).

Note that since <em>x</em> is between π/2 and π, it is in QII.

In QII, cosine and tangent are negative and only sine is positive.

We can rewrite our expression as:

\displaystyle \tan(2x)=\frac{\sin(2x)}{\cos(2x)}

Using double angle identities:

\displaystyle  \tan(2x)=\frac{2\sin x\cos x}{\cos^2 x-\sin^2 x}

Since cosine relates the ratio of the adjacent side to the hypotenuse and we are given that cos(<em>x</em>) = -1/3, this means that our adjacent side is one and our hypotenuse is three (we can ignore the negative). Using this information, find the opposite side:

\displaystyle o=\sqrt{3^2-1^2}=\sqrt{8}=2\sqrt{2}

So, our adjacent side is 1, our opposite side is 2√2, and our hypotenuse is 3.

From the above information, substitute in appropriate values. And since <em>x</em> is in QII, cosine and tangent will be negative while sine will be positive. Hence:

<h2>\displaystyle  \tan(2x)=\frac{2(2\sqrt{2}/3)(-1/3)}{(-1/3)^2-(2\sqrt{2}/3)^2}</h2>

Simplify:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{(1/9)-(8/9)}

Evaluate:

\displaystyle  \tan(2x)=\frac{-4\sqrt{2}/9}{-7/9} = \frac{4\sqrt{2}}{7}

The final answer is positive, so we can eliminate A and B.

We can simplify D to:

\displaystyle \frac{2\sqrt{8}}{7}=\frac{2(2\sqrt{2}}{7}=\frac{4\sqrt{2}}{7}

So, our answer is D.

7 0
3 years ago
Ik this sounds dumb and it's very late so I don't want to do the math 600 Seconds is ___ hours what I'm asking is 600 seconds eq
fomenos
600 seconds would be 10 minutes, as there are 60 seconds in a minute.

Expressed as hours, that would be 1/6 of an hour.
6 0
3 years ago
Read 2 more answers
Vx-8
Alika [10]

Answer:

x = 4 or x = -4 is your answer

6 0
2 years ago
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