Absolute Value Equations are equations that look like this:
I x + 5 I = 15
They have 2 solutions almost all the time. To solve this equation we do this:
x+5=15 x+5=-15
Then you solve them:
x+5=15 x+5=-15
x=15-5 x=-15-5
x=10 x=-20
The solutions would be x=10 and x=-20 .
In some cases, you only have one solution:
I x + 5 I = 0
0 cannot be negative, so we only have one equation to solve:
x+5=0
x=0-5
x=-5
The one solution would be x=-5 .
In some OTHER cases, you have no solution. This happens when the absolute value equation equals to a negative number:
I x + 5 I =-10
Absolute value solutions are always going to end up positive because absolute value turns the number, negative or positive, into a positive.
To see if line segments may form a triangle basically one must check if the sum of two sides are greater than the third.
a + b > c
a + c > b
b + c > a
a. can form a triangle
b. can form a triangle
c. can form a triangle
d. cannot form a triangle as 14 + 21 = 35 which is not greater than 36
a = right triangle with the right angle between 16 and 30
b = acute triangle
c = obtuse triangle with teh obtuse angle between 7 and 24
4x + 1 <= 5 ; x = 1
4x +1 >= -5 ; x = - 1.5
Now we know that x is between -1.5 and 1, so you should shade between -1.5 and 1. The circle will be closed since the equality is =< and =>
The answer is option D
Hope this helps
Answer:
If (n-2) (n-3) = 12, what is the value of n?
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Step-by-step explanation: