3. The pair of points (6,y) and (10, -1) lie on a line with slope -. What is the value of y?
-5
1-2
02
05

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Ответ:

gui00g7888888888888

14.11.2021

Mathematics

Please check the explanation.

Step-by-step explanation:

Given the expression

8x^2y^3-18y

Apply exponent rule: $a^{b+c}=a^ba^c$

8x^2y^3-18y=8yy^2-18y ∵ x^2y^3=yy^2

$=4\cdot \:2yy^2+9\cdot \:2y$

Factor out common term 2y

$=2y\left(4x^2y^2-9\right)$

We know that the Binomial is an expression that consists of two terms. Thus,

(4x²y²- 9) represents the binomial factor of 8x^2y^3-18y

We can further simplify by Factoring 4x²y² - 9: (2xy + 3) (2xy - 3)

$=2y\left(2xy+3\right)\left(2xy-3\right)$

Here:

(2xy + 3) and (2xy -3) are the binomial factors of 8x^2y^3-18y as each of them consists of two terms.

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3. The pair of points (6,y) and (10, -1) lie on a line with slope -. What is the value of y? -5 1-2 02 05