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2 years ago

What is the length of the hypotenuse

Mathematics

2 answers:

Liula [17]2 years ago

8 0

Answer:

Step-by-step explanation:

To find Hypotenuse: Pythagorean Theroem

a^2+ b^2= c^2

The legs are A and B

The side that is directly across from the Right angle is C

12^2 + 16^2 =C^2

144+256=400

400 = c^2

Square root on both sides to get rid of c^2

The square root of 400 is 20

c=20

Liula [17]2 years ago

6 0

Answer:

20 feet

Step-by-step explanation:

c = (a² + b²)

c= (12^2 + 16^2)

c= square root (400)

c= 20

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2 years ago

You have $50 in your bank account.

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3 years ago

Expand the polynomial and simplify: (4xy− 1 8 y^2)^2

Vinvika [58]

Answer: $4y^{2}(2x-9y)^{2}$

Step-by-step explanation:

We have the following polynomial:

$(4xy-18y^{2})^{2}$

This is a polynomial of the form $(a-b)^{2}=a^{2}-2ab+b^{2}$ . Following this rule to expand it, we have:

$(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}$

$16x^{2}y^{2}-144xy^{3}+324y^{4}$

Applying common factor $4y^{2}$ :

$4y^{2}(4x^{2}-36xy+81y^{2})$

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to $(2x-9y)^{2}$ . Hence, the final simplification is: