Answer:
Reason given in step 2. is incorrect. It should read; "Distributive Property."
Step-by-step explanation:
The reason given to go from :
2 (3x +4) = 56 to 6x + 8 = 56
is NOT "Multiplication Property of Equality" because one is not multiplying both sides of the equality by a number. The property that is being used is the Distributive Property on the left side of the equation in order to remove the grouping symbols (parenthesis) performing the implied multiplication of the external factor times each term of the binomial in parenthesis.
Answer:
C) English
Step-by-step explanation:
I don't really know how to explain it, so I'll show you instead.
For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.
So,
0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016
For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.
So,
0.25 x 0.25 x 0.25 x 0.25 = 0.004
They will have to study English (0.004) because it is lower than science (0.016).
If B is the midpoint of AC, then |AB| = |AC|.
|AB| = 3x + 2
|BC| = 5x - 10
Therefore we have the equation:
3x + 2 = 5x - 10 |subtract 2 from both sides
3x = 5x - 12 |subtract 5x from both sides
-2x = -12 |divide both sides by (-2)
x = 6
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Answer:
v=-5 and v=3
Step-by-step explanation:
We are given that

We have to find two solutions of quadratic equation.

Using addition property of equality
(By using factorization method)


Substitute each factor equal to 0
and 
and 
Hence, two solutions of quadratic equation are
v=-5 and v=3
Answer:
Step-by-step explanation:
More than anything else, Algebra is a procedure. It has rules and axioms which when followed produce answers to problems -- problems that may not yield anything without Algebra.
These axioms and rules are familiar to anyone who has taken a course in advanced Mathematics. So each person who knows the procedure knows also how mathematics can work. It is a universal language spoken by those trained in what it offers to the education of both the "sender" and the "receiver."