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Olegator [25]
3 years ago
10

Factor the GCF: −6x4y5 − 15x3y2 + 9x2y3 (5 points)

Mathematics
2 answers:
Inessa [10]3 years ago
7 0

Answer:

-3x^2y^2(2x^2y^3+5x-3y)

Step-by-step explanation:

Factor the GCF:-6x^4y^5 - 15x^3y^2 + 9x^2y^3

we find GCF for each term

GCF of -6, -15 and 9 is -3

For variables, the variable with lowest exponent is the GCF

GCF of x^4,x^3 and x^2 is x^2

GCF of y^5,y^2 and y^3 is y^2

So GCF is -3x^2y^2

Now put GCF outside and divide each term by GCF

-6x^4y^5 - 15x^3y^2 + 9x^2y^3

-3x^2y^2(2x^2y^3+5x-3y)

MissTica3 years ago
3 0
-6x^4y^5-15x^3y^2+9x^2y^3

The GCF OF -6, -15, & 9, is -3
The GCF OF x's is x^2
The GCF OF y's is y^2
These are the number of x's and y's that each term has.
-3x^2y^2(2x^2y^3+5x-3y)
LETTER B
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Step-by-step explanation:

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3 years ago
Someone help me on this question..
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Answer:

CD= 9

Step-by-step explanation:

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4 0
2 years ago
What is the area of this triangle?
Lapatulllka [165]
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7 0
3 years ago
Bella and Heather put some money in their money boxes every week. The amount of money (y) in dollars, in their money boxes after
evablogger [386]

The question is incomplete:

Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?

 10 weeks, $10  

10 weeks, $310  

9 weeks, $310  

310 weeks, $10

Answer:

10 weeks, $310  

Step-by-step explanation:

As the statement indicates, you have the following equations:

y=25x+60

y=30x+10

where:

y= the amount of money

x= the amount of time in weeks

You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:

25x+60=30x+10

60-10=30x-25x

50=5x

x=50/5= 10

After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:

-y=25(10)+60=310

-y=30(10)+10= 310

According to this, the answer is 10 weeks, $310.

6 0
3 years ago
The sector of a circle shown to the left has its center at point OO. The arc XYZXYZ has length 10.810.8, and the central angle X
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Step-by-step explanation:

Since we have given that

Length of an arc = 10.8

Radian of a central angle = 1.8

First we convert radian into degrees,

1\ radian= 57.295779513\textdegree\\\\1.8\ radians=1.8\times  57.3\textdegree\\\\1.8\ radians=103.14\textdegree

As we know the formula for "Length of an arc":

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Hence, Length of the radius of the sector is 6 units.

3 0
3 years ago
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