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3 years ago

11. Find the product of (3x+5) with (2x - 3) in simplest form.

Mathematics

1 answer:

STatiana [176]3 years ago

3 0

Answer:

(3x + 5)(2x - 3) = 6x² + x - 15

Step-by-step explanation:

To find the product of two binomials, we could use the FOIL method.

First

Outer (Outside)

Inner (Inside)

Last

(3x + 5)(2x - 3) = (3x)(2x) + (3x)(-3) + (5)(2x) + (5)(-3) = 6x² - 9x + 10x - 15 = 6x² + x - 15

So the product of the two binomials would be 6x² + x - 15.

I hope you find my answer and explanation to be helpful. Happy studying.

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Answer:

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Step-by-step explanation:

Given:

Length of First side = 48

Length of second side = 20

Also given the angle between them is 90°.

Hence we can say figure shown is a right angled triangle.

For finding the third side we can use Pythagoras theorem which states that;

"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."

$Third \ side ^2=First \ side^2+Second \ side^2$

Hence substituting the values we get;

$Third\ side^2= 48^2+20^2 = 2304+400 =2704$

Now taking Square root on both side we get;

$\sqrt{Third \ side^2} = \sqrt{2704}\\ Third \ side = 52 \ units$

Hence Length of Third side is 52 units.

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