The correct answer is C. 4.
Typically, we look to multiply by the bottom number (the denominator) in order to get fractions to cancel out. If we multiply 1/6 by 6, we get just 1, which is why we do it.
In this problem, you have two different denominators, 2 and 4. If you multiply them all by 2, the term -3/4m will still be a fraction.
-3/4m * 2 = -3/2m
As a result, we must try 4 instead. This causes all of them to cease being a fraction. Even the one with 2 as a denominator.
-1/2 * 4 = -2
(3/8)*n = -1/4 // + -1/4
(3/8)*n-(-1/4) = 0
(3/8)*n+1/4 = 0
3/8*n+1/4 = 0 // - 1/4
3/8*n = -1/4 // : 3/8
n = -1/4/3/8
n = -2/3
n = -2/3
Answer:
The height of Mrs. Marigold's roof is 10 feet.
Step-by-step explanation:
Given that,
Base of the given triangle = 48 ft
Hypotenuse = 26 ft
Half of the base = 24 ft
Using Pythagoras theorem,
So, the height of Mrs. Marigold's roof is 10 feet.
Answer:
See proof below
Step-by-step explanation:
Let 
. If w=-z, then r=0 and r is real. Suppose that w≠-z, that is, r≠0.
Remember this useful identity: if x is a complex number then 
where 
is the conjugate of x.
Now, using the properties of the conjugate (the conjugate of the sum(product) of two numbers is the sum(product) of the conjugates):
=
Thus 
. From this, 
. A complex number is real if and only if it is equal to its conjugate, therefore r is real.
Answer:
x=10
Step-by-step explanation:
8x+10=6x+30
8x-6x=30-10
2x=20
x=10
