2 separate 7 ft boards = (2 * 7) = 14 feet
1 ft = 12 inches....so 14 feet = (14 * 12) = 168 inches
168/11 = 15.27 <== she has 15 eleven inch boards.
Answer:
6
Step-by-step explanation:
First, we can expand the function to get its expanded form and to figure out what degree it is. For a polynomial function with one variable, the degree is the largest exponent value (once fully expanded/simplified) of the entire function that is connected to a variable. For example, x²+1 has a degree of 2, as 2 is the largest exponent value connected to a variable. Similarly, x³+2^5 has a degree of 2 as 5 is not an exponent value connected to a variable.
Expanding, we get
(x³-3x+1)² = (x³-3x+1)(x³-3x+1)
= x^6 - 3x^4 +x³ - 3x^4 +9x²-3x + x³-3x+1
= x^6 - 6x^4 + 2x³ +9x²-6x + 1
In this function, the largest exponential value connected to the variable, x, is 6. Therefore, this is to the 6th degree. The fundamental theorem of algebra states that a polynomial of degree n has n roots, and as this is of degree 6, this has 6 roots
9514 1404 393
Answer:
48
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse (longest side) is the sum of the squares of the other two sides. Let x represent the unknown side.
73² = x² +55²
5329 = x² +3025 . . . evaluate the squares
2304 = x² . . . . . . . . . subtract 3025 from both sides
48 = x . . . . . . . . . . . . take the square root of both sides
The exact length of the third side is 48.
Here you go!! Hope this helps
