Select one of the factors of 4x2 + 5x − 6 a. (x-3) b. (4x-3) c. (4x+2) d. (x+6)

2 answers:

5 0

$4x^{2}+5x-6=4x^{2}+8x-3x-6=4x(x+2)-3(x+2)= \\ \\ (4x-3)(x+2)$

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Tema [17]3 years ago

3 0

Answer:

b ) One factor ( 4x - 3).

Step-by-step explanation:

Given : 4x² + 5x − 6.

To find : Find factors.

Solution : We have given

4x² + 5x − 6.

On factoring

4x² + 8x - 3x − 6.

Taking common 4x from first two term and -3 from last two terms.

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

On grouping

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

Factors ( 4x -3) ( x + 2).

Therefore, b ) One factor ( 4x - 3).

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The hypotenuse of a 90-45-45 triangle is 20√2. What is the short leg and the long leg>

stepan [7]

Answer:

Both legs would be 20

Step-by-step explanation:
In the image below, it shows the relationship between the legs and the hypotenuse in every 45 45 90 triangle. If we know that the hypotenuse is 20, then the 2 legs are both 20.

I am slightly confused with the problem since they asked for the "short" leg and the "long" leg. Both legs should be the same length because a 45 45 90 triangle is isosceles, with the two legs being the same length.