What expression represents the value of x?

Answer A

Step-by-step explanation:

The Pythagorean formula in the small triangle gives

x² = w² + y²

x = √( w² + y² )

By this answer alone, answer C √( w * y ) is defenately false, because w*y is not w² + y², and therefore this answer can be discarded.

Answer B is also defenately wrong because the area indicated by the square on side z is much bigger then the area indicated by the square on side x.

Supose answer D is right, then

w*z must be equal to w² + y².

But from the big triangle we know that

v² = y² + z² , so y² = v² - z²

Since w*z is not v² - z², answer D must be wrong also.

The only answer which we can choose from is answer A, which must be the right answer since it is the only possibility left...

EXTRA

We have already deduced that answer A must be the right one, so we have already finished this question.

How ever, if answer A is right, then x = √( w(w + z) )

x = √( w² + wz )

From Pythagoras we know the next line to be true:

x = √( w² + y² )

From this, w*w = w² , no problem there, but then w*z must be equal to y². This is a problem for me at least...

At this moment I am unable to prove that w*z = y² but this seems at least plausible...

I leave it for now.

fist on the left goes with the third on the right. second on the left goes with the fourth on the right. third on the left goes with the second on the right. the fourth on the left goes with first on the right

the correct answer is

c. 4

step-by-step explanation:

the given polynomial is

the degree of the polynomial is the highest exponent which is 4.

the -4 is called the leading coefficient.

this polynomial has only one term so it is a monomial.

the correct answer is option c.