Answer:
You can determine the root of the equation by multiple methods. However, that answer is correct. The root is -2.
Step-by-step explanation:
A root is where the graph crosses the x-axis. One trick I use to see if it is a root is by taking the numerator and plugging in the number for x. For example, 
, and take the -2 and plug it in for x. The numerator would cancel out because -2 + 2 = 0. That is the way you can determine if it is a root or not.
I hope this helps, if you need any clarification let me know :)
X=27 and y=11
if you let each number equal x and y we know the sum is 38 so x+y=38
and the smaller is 16 less than the larger
. so if we say the smaller number is 7 then x-16=y
these can be solved as a simultaneous equation. x+(x-16)=38
2x-16=38
2x=54
x=27
(27)-16=y
y=11
so the answer is x=27 y=11
Answer:
Options: A, B, and C correctly solve for x.
Step-by-step explanation:
A).
= 
Multiplying both sides by 2 gives;
5x = 15
x = 15 ÷ 5 = 3
∴ This option correctly solve for x.
B).
x + 
= 7
x = 7 - = 
∴ This option correctly solve for x.
C).
x + 3 = 
x = 
But the option give x as 5/6 hence this option does not correctly solve for x.
D).
5x = 11/2
x = 11/2 ÷ 5 = 11/2 × 1/5 = 11/10
But the option gives x as 10/11 so it does not correctly solve for x.
Answer:
Let x = the third side
In a triangle, the sum of any 2 sides must be larger than the third side.
I believe this is called the triangle inequality theorem.
We can construct 3 inequalities to obtain the range of values for the third side.
(Inequality #1) 12 + 4 > x
16 > x
(Inequality#2) 12 + x > 4
x > -8 (we can discard this ... we know all sides will be positive)
(Inequality #3) 4 + x > 12
x > 8
So when we combine these together,
8 < x < 16
X (the third side) must be a number between 8 and 16. but not including 8 and 16
