The answer is 2/6 because both of the numbers can be divided by 2. 4/2 is 2 and 12/2 is 6
Answer:
5/12 3/8 2/3
Step-by-step explanation:
Answer:
The number that goes in place of the question mark is 2.
Step-by-step explanation:
Let's solve it!
3x² + 12x - 24 = 0
First we can factor 3 out of each term:
x² + 4x - 8 = 0
Now we'll add 12 to both sides to complete the square:
x² + 4x + 4 = 12
And finish it off:
(x + 2)² = 12
So the answer to the question is 2
Bonus:
We can also now solve this for x:
(x + 2)² = 12
x = √12 - 2
x = 2√3 - 2
x ≈ 2 × ±1.732 - 2
x ≈ 1.464, -5.464
Given:
KLMN is a parallelogram.
KL = 31
LM = 45
To find:
MN = ?
KN = ?
Solution:
By the property of parallelogram:
Opposite sides are congruent
MN is the opposite side of KL.
⇒ MN = KL
⇒ MN = 31
Similarly,
KN is the opposite side of LM.
⇒ KN = LM
⇒ KN = 45
Therefore, MN = 31 and KN = 45.
Let me just rewrite the details in a more understandable manner
f(x) = 2x + 7
g(x) = 3x + c
f( g(x) ) = g( f(x) )
Proceeding to the problem, we have to find the value of c by making use of the relationship written by the third equation. The notation f( g(x) ) means that you have to replace x with g(x). So, you would have incorporate one equation to the other, and vice versa. By equating them, we can determine x. Let us start with f( g(x) ) .
f( g(x) ) = 2(3x + c) + 7
f( g(x) ) = 6x + 2c + 7
Next, we do the similar thing to g( f(x) ).
g( f(x) ) = 3(2x+7) + c
g( f(x) ) = 6x + 21 + c
Then, we equate both simplified equations
6x + 2c + 7 = 6x + 21 + c
Let's simplify further by placing c on one side, and the rest on the other side:
2c - c = 6x - 6x + 21 - 7
c = 14
