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3 years ago

What is 4xy+12w+12z using GCF

Mathematics

1 answer:

emmasim [6.3K]3 years ago

4 0

For this case, we must find the GCF of the following expression:

$4xy + 12w + 12z$

By definition, the Greatest Common Factor is given by the greatest factor that divides all the terms of the expression without leaving remainder.

We find the factors of 4 and 12:

$4: 1,2,4\\12: 1,2,3,4,6,12$

On the other hand, the variables are not repeated in the terms of the expression.

Thus, we can rewrite the expression as:

$4 (xy + 3w + 3z)$

Answer:

$4 (xy + 3w + 3z)$

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Find the quotient if the sum of 3/5 and 7/10 is divided by the difference between 7/12 and 3/10

Serggg [28]

3/5 + 7/10 / 7/12 - 3/10

13/10 / (35/60 - 18/60=)17/60

10/13 x 60/17 = 78/17 = 4 10/17

8 0

3 years ago

Does anyone know what the slope equation is for this graph. PLz explain if you can. Ty!

yKpoI14uk [10]

<h3>Answer: y = (-3/2)x+3</h3>

In decimal form, this is y = -1.5x+3

=========================================

Explanation:

Start at (0,3). Move three units down and two units to the right to get to (2,0)

slope = rise/run

slope = -3/2

rise = -3 = go 3 units down

run = 2 = go 2 units to the right

--------------------------

We could use the two points (0,3) and (2,0) in the slope formula below

m = (y2-y1)/(x2-x1)

m = (0-3)/(2-0)

m = -3/2

So this is another way to see the slope is -3/2

--------------------------

The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3

Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3

5 0

3 years ago

Read 2 more answers

10 points!!! please help :(

daser333 [38]

To complete the identity, we need these fundamental identities:

$1)\displaystyle{sec(x)=\frac{1}{cos(x)}$

$2) cos(x-y)=cos(x)cos(y)+sin(x)sin(y)$

$\displaystyle{csc(x)= \frac{1}{sin(x)}$

Thus, by identity 1 we have:

$\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}$

by identity :

$\displaystyle{cos(\frac{ \pi }{2}-\theta)=cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)$

recall the values :

$\displaystyle{ sin(\frac{ \pi }{2})^R=sin(90^o)=1\\\\$

$\displaystyle{ cos(\frac{ \pi }{2})^R=cos(90^o)=0$ ,

so:

$cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)=0+sin(\theta)=sin(\theta)$

Putting all these together, we have:

$\displaystyle{ sec( \frac{ \pi }{2}-\theta )= \frac{1}{cos(\frac{ \pi }{2}-\theta)}= \frac{1}{cos(\frac{ \pi }{2})cos(\theta)+sin(\frac{ \pi }{2})sin(\theta)}= \frac{1}{sin(\theta)}}$

which is equal to $csc(\theta)$ , by identity 3

Answer: D

7 0

3 years ago

What's the difference?

Komok [63]

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(-2x^2)\\
-2x^2
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3 0

3 years ago

Emma has a homework in 8 subjects she is deciding in what order to complete them in, how many different ways are there?

zheka24 [161]

Answer:

40,320 ways

Step-by-step explanation:

By the Fundamental Counting Principle, she can do it in 8! ways:

8! = 8*7*6*5*4*3*2*1 = 40,320

5 0

2 years ago