3 years ago

Which of the following is the correct factored form of the given equation?

Mathematics

1 answer:

Anna71 [15]3 years ago

6 0

Answer:

(4x - 3)(x-2) = 0

Step-by-step explanation:

4x² - 11x + 6 = 0

To factorize this equation,

-11

4x6

These numbers are the key to the solution:

find two numbers whose sum is -11 and the product is + 24 (4 x 6)

So, the numbers are -3 and -8

4x² - 8x - 3x + 6 = 0

4x(x -2) - 3(x - 2) = 0

(4x - 3)(x-2) = 0

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3 years ago

∆JKL~∆MNO and J/K MN =2/3 find the length of NO if KL=12.

Gre4nikov [31]

Answer:

Therefore the length of NO is 18 units.

Step-by-step explanation:

Given:

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$\dfrac{JK}{MN}=\dfrac{2}{3}$

KL = 12.

To Find :

the length of NO = ?

Solution:

Δ JKL ~ Δ LMN ….{Given)

If two triangles are similar then their sides are in proportion.

$\dfrac{JK}{MN} =\dfrac{KL}{NO}=\dfrac{JL}{MO} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{2}{3} =\dfrac{12}{NO}\\\\NO=\dfrac{36}{2}=18\\\\NO=18\ unit$

Therefore the length of NO is 18 units.

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