Well, product means multiply so we need to multiply these fractions.
2 4
--- x --- =
3 5
now, when you are multipliying fractions you multiply the top and the bottom with the other one.
so 2 times 4 and 3 times 5
and you get
8
--
15
since this fraction can not be simplifyed this is the final answer 8/15
Answer:
Step-by-step explanation:
Let the smaller number be 
. Since they are consecutive even numbers, the larger number can be represented by 
.
Therefore, we have the following equation:
Thus, the larger number is 
Using proportions, it is found that the coordinates of point B are given as follows:
A. (1.6, 0).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Point B is 3/4 of the way from AB to AC, hence:
The points are:
Then, to find the x-coordinate:
x + 2 = 3.6.
x = 1.6.
For the y-coordinate:
y + 3 = 3
y = 0.
Hence option A is correct.
More can be learned about proportions at brainly.com/question/24372153
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First we look at the equation an determine our common denominator.
(X²-X-6) / X² = (X-6) / 2X + (2X+12) / X (let's use 2X² as the comm denom)
multiply the first fraction by 2, the second by X, and the third by 2x
(2x²-2x-12) / 2x² = (x²-6x) / 2x² + (4x²+24x) / 2x² (dropping the denominator)
2x² - 2x - 12 = x² - 6x + 4x² + 24x (simplify)
-3x² - 20x - 12 (multiply by -1)
3x² + 20x + 12
(x + 6) (3x + 2) (factored version)
You have the following expressions given in the problem above:
(y^2/y-3)(y^2-y-6/y^2+y)
By applying the exponents properties, you can simplify it, as it shown below:
(y^2/y-3)(y^2-y-6/y^2+y)
(y^4-y^3-6y^2)/(y^3+y^2-3y2-3y)
(y^4-y^3-6y^2)/(y^3-2y2-3y)
Then, you have:
y^2(y^2-y-6)/y(y^2-2y-3)
(y^2-y-6)/(y^2-2y-3)
The answer is: (y^2-y-6)/(y^2-2y-3)
