Answer: 100
Hi!
ok so the Pythagorean theorem is

so the other side is 10.
the square 8 is 8*8
and square 6 is 6*6
so the other square is 10*10=100.
so the area of the blank square is 100.
Step-by-step explanation:
Can I have brainliest?
Thanks!
Have a nice day!
2x3 = 2
multiply 2 and 3
6x = 2
divide by 6 on both sides
x = 2/6
simplify
x = 1/3
The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0.
<h3>How to derive an expression for the area of an unshaded region of a rectangle</h3>
The area of a rectangle (<em>A</em>), in square inches, is equal to the product of its width (<em>w</em>), in inches, and its height (<em>h</em>), in inches. According to the figure, we have two <em>proportional</em> rectangles and we need to derive an expression that describes the value of the <em>unshaded</em> area.
If we know that <em>A =</em> 648 in², <em>w =</em> 22 - x and <em>h =</em> 40 - x, then the expression is derived below:
<em>A = w · h</em>
(22 - x) · (40 - x) = 648
40 · (22 - x) - x · (22 - x) = 648
880 - 40 · x - 22 · x + x² = 648
x² - 62 · x + 232 = 0
The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0. 
To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910
Answer:

Step-by-step explanation:
puting the value of x as 2
4+56+4=64
and 64 is the perfect square of 8
<h2>
<em><u>hope </u></em><em><u>it </u></em><em><u>helps</u></em><em><u> you</u></em><em><u><</u></em><em><u>3</u></em></h2>
Answer:
y = ±√3 and ±2i
Step-by-step explanation:
Given the equation y⁴+y²-12 = 0
(y²)²+y²-12 = 0
Let P = y²
Substitute
P²+P-12 = 0
Factorize:
P²+4P-3P -12 = 0
P(P+4)-3(P+4) = 0
(P-3)(P+4) = 0
P-3 = 0 and P+4 = 0
P = 3 and -4
When P = 3
y² = 3
y = ±√3
When P = -4
y² = -4
y² = ±√-4
y = ±2i
Hence the value of y is ±√3 and ±2i