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viva [34]
3 years ago
10

What is y=-2/9x+3 written in standard form using integers.

Mathematics
1 answer:
a_sh-v [17]3 years ago
4 0
2x+9y=27 (answer has to be 20 characters)
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Show work and Factor 4x^2+xy-18y^2
grigory [225]

Answer:

4x^2+xy-18y^2=(4x+9y)\,(x-2y)

Step-by-step explanation:

Let's examine the following general product of two binomials with variables x and y in different terms:

(ax+by)\,(cx+dy)= ac\,x^2+adxy+bcxy+bdy^2

so we want the following to happen:

a\,c = 4\\ad+bc=1\\bd--18

Notice as well that ad+bc =1 means that those two products must differ in just one unit so, one of them has to be negative, or three of them negative. Given that the product bd=-18, then we can consider the case in which one of this  (b or d) is the negative factor. So let's then assume that a\,\,and \,\,c are positive.

We can then try combinations for  a\,\,and \,\,c  such as:

a = 4;\,\,c=1\\a=2;\,\,c=2\\a=1;\,\,c=4

Just by selecting the first one (a=4;\,\,c=1)

we get that 4d_b=1\\b=-4d-1

and since

bd=-18\\(-4d-1)\,d=-18\\-4d^2-d=-18\\4d^2+d-18=0

This quadratic equation give as one of its solutions the integer: d = -2, and consequently,

d=-18/(-2)\\d=9

Now we have a good combination of parameters to render the factoring form of the original trinomial:

a=4; \,\,b=9;\,\,c=1;\,\,d=-2

which makes our factorization:

(4x+9y)\,(x-2y)=4x^2+xy-18y^2

6 0
3 years ago
4 divided into 4000 what the answer n remainder​
belka [17]

Answer:

4 divided into 4000 is 1000 with no remainders

4/4000=1000

7 0
3 years ago
Read 2 more answers
PLEASE HELP!!!
IrinaVladis [17]
44.


The closer it gets to -19, the closer the number goes to 44. It never hits it exactly though, but based off the trend (43.95, 43.995, 43.9995) we can tell that it gets closer to 44 each time.


Hope this helps! (:
8 0
2 years ago
PLEASE WILL GIVE BRAINLIEST!!
sveta [45]

Answer:

10.5

Step-by-step explanation:

because 10.5x2=21. and 45+13+21=79, 100-79= 21.

7 0
3 years ago
One plane can travel 10 miles per hour faster than another. one of them goes 405 miles in the same time it takes the other to go
ryzh [129]
Smmsmwmsmwmmwmewmwmwmmwmme
5 0
4 years ago
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