Answer:
3√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the side length.
x = 3√2
_____
All these triangles are similar, so the ratio of hypotenuse to leg is the same for all.
hypotenuse/leg = x/3 = (3+3)/x
x² = 3·6 = 3²·2 . . . . cross multiply (identify square factors)
x = 3√2 . . . . . take the square root
Answer:
$2229.27
Step-by-step explanation:
tax rate: 10.25%
tax amount: $228.50
price before tax: x
10.25% of x = $228.50
0.1025x = 228.5
x = 228.5/0.1025
x = 2229.27
Answer: $2229.27
Answer:
The equations shows a difference of squares are:
<u>10y²- 4x²</u> $ <u>6y²- x²</u>
Step-by-step explanation:
the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²
We will check the options to find which shows a difference of squares.
1) 10y²- 4x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√10 y + 2x )( √10 y - 2x)
2) 6y²- x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√6y + x )( √6y - x)
3) 8x²−40x+25
The expression is not similar to the general form, so the equation does not represent a difference of squares.
4) 64x²-48x+9
The expression is not similar to the general form, so the equation does not represent a difference of squares.
Answer: The answer is 6n+7y
Step-by-step explanation: All you have to do is add like terms
