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MrRissso [65]
3 years ago
7

Factor. 2xy+5x−12y−30

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
7 0

Answer:  The required factored form of the given expression is (x-6)(2y+5).

Step-by-step explanation:  We are given to factorize the following expression :

E=2xy+5x-12y-30~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We will be using the following property :

a(b+c)+d(b+c)=(a+d)(b+c).

From expression (i), we have

E\\\\=2xy+5x-12y-30\\\\=x(2y+5)-6(2y+5)\\\\=(x-6)(2y+5).

Thus, the required factored form of the given expression is (x-6)(2y+5).

icang [17]3 years ago
4 0
2xy + 5x -12y -30
x(2y + 5)  - 6( 2y + 5)
(2y+5) (x-6)
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Sati [7]

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So let:

<em>w= width</em>

<em>L= length</em>

Because the length is 3 metres more than twice<em> </em>the width: <em>L= </em><em>2</em><em>w+</em><em>3</em>


They also tell you the perimeter is 48 metres.

<em>P= L+L+w+w</em>

So the equation of the perimeter is:

<em>48= (2w+3)+(2w+3)+2w +2w</em>

<em>48= 2(2w+3) + 4w</em>


To find w, expand and simplify.

<em>48= 4w+6+4w</em>

<em>48= 8w + 6</em>

<em>42= 8w</em>

<em>5.25=w</em>


Now that you know the width, plug in the value into the length equation:

<em>L= 2w+3</em>

<em>L=2(5.25)+3</em>

<em>L=10.50+3</em>

<em>L=13.5</em>


If I am wrong let me know! I hope this helps.

6 0
3 years ago
Help! If you know this can you tell me how to do it?
aleksandr82 [10.1K]

Answer:

c

Step-by-step explanation:

Here's how this works:

Get everything together into one fraction by finding the LCD and doing the math.  The LCD is sin(x) cos(x).  Multiplying that in to each term looks like this:

[sin(x)cos(x)]\frac{sin(x)}{cos(x)}+[sin(x)cos(x)]\frac{cos(x)}{sin(x)} =?

In the first term, the cos(x)'s cancel out, and in the second term the sin(x)'s cancel out, leaving:

\frac{sin^2(x)}{sin(x)cos(x)}+\frac{cos^2(x)}{sin(x)cos(x)}=?

Put everything over the common denominator now:

\frac{sin^2(x)+cos^2(x)}{sin(x)cos(x)}=?

Since sin^2(x)+cos^2(x)=1, we will make that substitution:

\frac{1}{sin(x)cos(x)}

We could separate that fraction into 2:

\frac{1}{sin(x)}×\frac{1}{cos(x)}

\frac{1}{sin(x)}=csc(x)  and  \frac{1}{cos(x)}=sec(x)

Therefore, the simplification is

sec(x)csc(x)

5 0
3 years ago
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Leokris [45]

Answer:

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<em>Brainliest, please!</em>

Step-by-step explanation:

Equation of a circle: (x - h)^2 + (y - k)^2 = r^2

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We do not have enough information to find the radius. Were you given another point that lies on the circle?

3 0
3 years ago
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Norma-Jean [14]

Answer:

It is a little hard to see where your steps are for the equation, but x = 4, and I will explain:

Step-by-step explanation:

We know y = -1.5x +4, so we plug that into the equation

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Hope this helps!

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3 years ago
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Nadusha1986 [10]

Answer:

2

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-(1  , 3)

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1      2

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Now since we were asked to find the average rate of change given the function was a line, it really didn't matter what two points you used on that line.

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