Answer:
4√10
Step-by-step explanation:
Hello!
Let's first simplify the radical.
We can do this by expanding the radical:
We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.
Let's work with √45:
- √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
- √9 simplifies to 3, so it is 3√5
Now we can simplify the operation in the parenthesis by combining like terms:
- 3√5 + √5
- √5 + √5 + √5 + √5
- 4√5
Now using the same rule as above, we can multiply the values:
Your solution is 4√10
Step-by-step explanation:
We have the original equation n ^ 2 + 5 * n - 24, when factoring we have:
(n + 8) * (n - 3)
Now by replacing the values:
n = 0
0 ^ 2 + 5 * 0 - 24 = - 24
(0 + 8) * (0 - 3) = - 24
n = 1
1 ^ 2 + 1 * 0 - 24 = - 18
(1 + 8) * (1 - 3) = -18
n = 2
2 ^ 2 + 5 * 2 - 24 = - 10
(2 + 8) * (2 - 3) = - 10
n = 3
3 ^ 2 + 5 * 3 - 24 = 0
(3 + 8) * (3 - 3) = 0
n = 4
4 ^ 2 + 5 * 4 - 24 = 12
(4 + 8) * (4 - 3) = 12
Answer: C
Step-by-step explanation:
is in the third quadrant, so both x and y are negative.
Therefore, the only possible answer is C.
Answer:
The answer would simply be m = (8 + 3n)/4
Step-by-step explanation:
If you look at the question closely, you have two variables, and you have not been given the value for any of them, so we have to solve this algebraicly.
First, we need to get m on one side, and so we add 3n to both sides to get rid of it.(We should have 4m = 8 + 3n)
Next, we need to isolate m, we need to get it alone, by itself to get the answer, so we divide by 4 on both sides.
The expression on the right side(8 + 3n) has to be divided by 4 fully, and so your answer would simply be m = (8 + 3n)/4.
If you need more confirmation, plug in the whole expression into the given expression to check your answer.
