Answer:
Step-by-step explanation:
NOOOOO
Answer:
-33
Step-by-step explanation:
I hope this is correct, and I apologize in advance if it isn't :(
Answer:
They are not equivalent.
Step-by-step explanation:
Before we solve the question, we need to know that from the laws of indices:
A^x x A^y = A^(x+y).
7 to the power of 8th power means 7^8
7^8 times 7 means 7^8 x 7. From the laws of indices we have 7^8 x 7 = 7^9.
7 to the power of 3rd power means 7^3
7^3 times 7 to the power of 3rd power means 7^3 x 7^3. From the laws of indices we have 7^3 x 7^3 = 7^6.
Obviously, 7^9 ≠ 7^3 therefore, they are not equivalent.
Answer:
Part A:
To find the area of a rectangle you want to take length times width
(2x+11)(6x+4) You want to solve by using the FOIL method
First, Outer, Inner, Last
First terms 2x*6x=12x^2, when you multiply numbers with exponents you want to add, which is how we got it to squared
Outer terms~ 2x*4=8x, we take out two outer terms and times them by each other
Inner terms~ 11*6x=66x, we take our inner two terms and times them to each other
Last terms~ 11*4=44, we take the last two terms times each other
That now leaves us with
12x^2+8x+66x+44 Now we want to combine like terms to get:
12x^2+74x+44
Part B:
The degree is your highest exponent which in our case is 2
You would classify by how many different numbers you have:
This would be a trinomial because you have three different numbers: (12x^2, 74x, and 44)
Highest degree= 2
Classification= Trinomial
Part C:
Part A demonstrates the closure property because it shows that the polynomials are closed under the operations of adding, subtraction, and multiplying
Hope this helps ;)
Answer:
width = 15 ft
length = 26 ft
Step-by-step explanation:
(19 - 2x)(30 - 2x) = 390
570 - 38x - 60x + 4x² = 390
combine like terms:
4x² - 98x + 570 = 390
subtract 390 from each side of the equation:
4x² - 98x + 180 = 0
divide by 4:
x² - 24.5 + 45 = 0
(x - 22.5)(x - 2) = 0
x = 22.5 and x = 2
since x = 22.5 is out of the usable range, x = 2 ft is the solution
width = 19 ft - 4 ft = 15 ft (remember that there will be a 2 ft gap at each wall, thus subtract 4 ft)
length = 30 ft - 4 ft = 26 ft
