Answer:
Simplifying
5x + 12 = -13
Reorder the terms:
12 + 5x = -13
Solving
12 + 5x = -13
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-12' to each side of the equation.
12 + -12 + 5x = -13 + -12
Combine like terms: 12 + -12 = 0
0 + 5x = -13 + -12
5x = -13 + -12
Combine like terms: -13 + -12 = -25
5x = -25
Divide each side by '5'.
x = -5
Simplifying
x = -5
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
absolute value is the distance from zero. it will never be negative. so -6 is 6 away from zero, -8 is 8 away from zero. you can just take off the negative sign and use the number by itself.
|-6| - |-8|
6 - 8
-2
Answer:
3
Step-by-step explanation:
20/8=2.5
Since it is as a ratio of 14:31 there has to be a factor of something. Let's assume this factor as x.
Therefore,
14x + 31x = 90
45x = 90
x = 2
So we have a factor of two. Plug x back into the equation.
The larger angle is 31 * 2 = 62 degrees.
Answer:
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}
Step-by-step explanation:
As can be seen in the Sample Tree attached, the eight elements in the sample space whose outcomes are all the possible head-tail sequences obtained in the three tosses are:
S={HHH,HHT,HTH,HTT,THH,THT,TTH,TTT}