The equation 2x - 12 = 2(x-10)-87 has no solutions.
Given: To find the value of x: 2x - 12 = 2(x - 10) - 87
What are algebraic expressions?
Algebraic expressions are sequences or combinations of characters containing letters, numbers, symbols, operators, and variables which are used to derive a certain relation among all of them.
What is an algebraic equation?
When an algebraic expression has a value it becomes an algebraic equation. The algebraic equation helps to make a relation between different variables for a problem.
Let's solve the question.
2x - 12 = 2(x - 10) - 87
Adding 12 on both sides:
2x - 12 + 12 = 2(x-10) - 87 + 12
=> 2x = 2(x -10) - 75
=> 2x = 2x - 20 - 75
=> 2x = 2x - 95
Adding -2x on both sides:
2x - 2x = 2x - 95 - 2x
0 = -95
This is contradictory.
The equation is independent of x, and 0 = -95 is false. Therefore, the equation has no solutions.
Hence the equation 2x - 12 = 2(x-10)-87 has no solutions.
Know more about "algebraic expressions" here: brainly.com/question/953809
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Answer:
Parallel: a and b, p and q, p and r, q and r
PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b
Step-by-step explanation:
Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.
Perpendicular lines cross at a 90 degree angle.
Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle
Answer:
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Step-by-step explanation:
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Alright, so the number is less than 5, we pick it twice, and the sum (2*number) is less than 5, we have 2 options - 2 or 1. 3 or more doesn't work because 3*2=6. The probability of choosing 2 is 1/9, and choosing 2 again is 1/9. Since they don't have anything to do with each other, we multiply 1/9 by 1/9 to get 1/81 as the chance of choosing 2 twice. Since we can have 1 twice too, we add 1/81 to 1/81 to get 2/81