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4 years ago

The next 2 options are:

Mathematics

1 answer:

kap26 [50]4 years ago

4 0

Answer:

A: This quadratic expression can be factored by finding the correct pair of binomial factors

B: 4x + 5

B: 2x - 3

Step-by-step explanation:

8x² - 2x - 15 can only be factorised by finding a correct pair of binomial factors because 15 and 8 are not a perfect square.

Thus,

To find the correct pair, find the 2 numbers that would give us -120 (8*15) when multiplied, and would also give us -2 when added together.

(-12) × (+10) = -120

(-12) + (+10) = -2

-12 and +10 would be the factors to use. Thus, let's factorised as follows:

8x² - 2x - 15

8x² - 12x + 10x - 15

(8x² - 12x) + (10x - 15)

Look for common factors

4x(2x - 3) +5(2x - 3)

(4x + 5)(2x - 3)

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4 years ago

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1 what is the value of x?

Nana76 [90]

Answer:

The value of x is -3

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of a line that passes through points (x1 , y1) and (x2 , y2) is

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

* Lets solve the problem

∵ The points (4 , 1) and (x , -6) lie on the same line

∵ The slope of the line is 1

- Let the point (4 , 1) is (x1 , y1) and the point (x , -6) ix (x2 , y2)

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∵ The slope of the line is m = 1

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4 years ago