Answer:
x=-1
Step-by-step explanation:
1. Remove the parenthesis
-x + 1 = -4x - 2
2. Get x alone
-x + 1 = -4x - 2
+1x +1x
1=-3x - 2
+2 +2
3=-3x -3x/-3= x 3/-3 = -1
x=-1
Answer: all points 
that satisfy 
Step-by-step explanation:
The slope of the line is
So, substituting into point-slope form, the equation is
Therefore, all points that satisfy will lie on the same line.
Answer:
That is a variable.
Step-by-step explanation:
- opposed to a constant which is known and does not change.
Answer:
Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that 
, where 
is the hypotenuse of the triangle, and 
and 
are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of 
, we have:
Answer: 5/18
Step-by-step explanation:
The sample space when two 6- sided dice are rolled is given below:
(+) 1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
The total sample space is 36.
Sum greater than 8 are : {9,10,11,12}
which are 10 in number:
Therefore : the probability that the sum of the two numbers on the dice will be greater than 8 will be :
number of the sum greater than 8 / Total sample space
That is ;
P(sum greater than 8) = 10/36
P(sum greater than 8) = 5/18
