Answer:
75 m, 96 m
Step-by-step explanation:
a. Area = length x width
7050 = 94 x width
7050/94 = w
75 m is width
b. perimeter = 2L + 2W
356 = 2L + 2(82)
356 = 2L + 164
192 = 2L
96 m = L
Answer:
3x^2 + 10x
Step-by-step explanation:
If u wrote it correctly it would be ((x+4+2)+4)(x)
Hello!
There is a 6:2 ratio
This means that for every 6 cups of flour you need 2 cups of water
To find how much flour for 1 cup of water you first find what happened to the water side
2/1 = 2
Now you divide what you got with the flour
6/2 = 3
The answer is 3
Hope this helps!
Answer:
Step-by-step explanation:
This is a third degree polynomial because we are given three roots to multiply together to get it. Even though we only see "2 + i" the conjugate rule tells us that 2 - i MUST also be a root. Thus, the 3 roots are x = -4, x = 2 + i, x = 2 - i.
Setting those up as factors looks like this (keep in mind that the standard form for the imaginary unit in factor form is ALWAYS "x -"):
If x = -4, then the factor is (x + 4)
If x = 2 + i, then the factor is (x - (2 + i)) which simplifies to (x - 2 - i)
If x = 2 - i, then the factor is (x - (2 - i)) which simplifies to (x - 2 + i)
Now we can FOIL all three of those together, starting with the 2 imaginary factors first (it's just easier that way!):
(x - 2 - i)(x - 2 + i) =
Combining like terms and canceling out the things that cancel out leaves us with:
Remembr that , so we can rewrite that as
and
That's the product of the 2 imaginary factors. Now we need to FOIL in the real factor:
That product is
which simplifies down to
And there you go!