Please include the instructions; I assume your job is to find the value of x.
<span>1/(x+1) - 1/(x+2) = 1/2 would better be written as
1 1 1
</span><span>-------- - ------------ = ----
x+1 x+2 2
Identify the LCD. It is (x+1)(x+2)(2). Mult. all 3 terms of the equation by this LCD:
2(x+2) - 2(x+1) = 2(x+1)(x+2)
We can factor out the 2 from all terms:
x+2 - x - 1 = x^2 + 3x + 2
Let's move all terms from the left to the right side:
0 = x^2 + 3x + 2 - x - 2 + x + 1
Then x^2 + 3x + 1 = 0. This is a quadratic with a=1, b=3 and c=1.
What is x?
-3 plus or minus sqrt( 9-4(1)(1) ) -3 plus or minus sqrt(5)
x = --------------------------------------------- = ---------------------------------
2 2
I rather expected to obtain an integer value for x.
Why don't you give this problem a try yourself? Suggestion: First mult. every term by 2. This will give you:
2 2
------- - ------- = 1 and this may be slightly easier to work with. Please
x+1 x+2 give it a try: try to find x that satisfies this equation.
Important: note that x cannot equal either -1 or -2.
</span>
Answer:
B, C, E, F
Step-by-step explanation:
x^2 >= 49
A. 6: 6^2 = 36 No
B. 20: 20^2 = 400 Yes
C. -7: (-7)^2 = 49 Yes
D. -5: (-5)^2 = 25 No
E. -16: (-16)^2 = 256 Yes
F. 7: 7^2 = 49 Yes
The triangle is obtuse since it has an angle more than 90 degrees.
It also has 2 equivalent sides that are represented by the line, meaning it is isosceles.
Therefore,
C. and E. are correct.
Do you mind giving a clickie wickie to the THANKS or MARK AS BRAINLIEST! button if anyone else answers? It would be greatly appreciated. Thank you sooo much!
Answer:
m = 1
Step-by-step explanation:
Slope is defined as m = rise / run.
As we move from (2,2) to (4,4), x increases by 2 and y increases by 2.
Thus, the slope of this line is m = rise / run = 2/2 = 1: m = 1
