First you must combine like terms, the two terms I this expression are x, and xy. So by adding -2xy to -2xy you get -4xy. Next you must add 3x to 3x. This gives you the simplified expression -4xy+6x. Hope this helps
Answer:
frac{21x^6y^5}{14x^2y^9}
Factor the number =\frac{7\cdot \:3x^6y^5}{14x^2y^9}
Factor the number 14=7. 2 =\frac{7\cdot \:3x^6y^5}{7\cdot \:2x^2y^9}
Cancel\:the\:common\:factor:}\:7 =\frac{3x^6y^5}{2x^2y^9}
Step-by-step explanation:
First, find slope of point A and B using slope formula:
<u>y2-y1</u> = <u>7-0 </u>= <u>-7</u>
x2-x1 3-8 5
Next, use the point-slope formula to find the equation (pick either point A or B to substitute into this equation; the answer will be the same either way):
y-y1=m(x-x1)
y-7=<u>-7</u>(x-3) (I used point B here)
5
y=<u>-7x</u> +<u>56</u> so the y-intercept is <u>56</u>. Hurray! Part 1 down!
<span> 5 5 5
Now to answer part 2. Since AB ll CD, they have the same slope: <u>-7</u>
5
Therefore, you can use the handy point-slope equation to calculate the equation of line CD. (Remember you only need one of the points to use this equation if you already have the slope.) Since the only point given is D(5,5), we'll use that one:
</span>y-y1=m(x-x1)
y-5=<u>-7</u>(x-5)
<span> 5
</span>y=<u>-7x</u> + 12 Yay! That's the answer to part 2; the equation of line CD
<span> 5</span>
Answer:
12 1/12
Step-by-step explanation: so, we have to make the bottom number the same as eachother or we will not be able to add effectively. So the first number that both 4 and 6 go into is 12, as you can see if we count by the numbers to get to the answer
4,8,12
6,12
So, now that we have that part figured out we would then have to multiply the top the same amount as we multiplied the bottom. So 1/4x3 and 5/6x2
So we would multiply both the top and the bottom the same amount.
1/4x3=3/12
5/6x2=10/12
So now that we have that figured out everything else is pretty straight forward.
We would add the whole numbers with eachother and the fractions with eachother.
8+3=11
3/12+10/12=13/12
so we can see that it would equal, 11 and 13/12 or 12 and 1/12
