What is the missing length of this problem? ​

Answer is

Step-by-step explanation:

Since there are two given angles 45 and 90 we can use the triangle interior angle theorem to find the missing angle

The missing angle is 45

This is a 45 45 90 triangle. This means they are two side length that are equal. The legs or the side that make the 90 degree angle are equal in length. So the given side length and y are the legs.

Since the given side length is

y is also

to find x we can apply the pythagorean theorem to find x

where a and y are the legs and x is the hypotenuse

Plug it in

366

step-by-step explanation:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form