What is the first step to simplify the expression 5x – x(2 – 3x) + 2?
2 answers:
Answer:
"distribute to the terms inside the parentheses"
Step-by-step explanation:
- The first step in any expression like this is going to be simplifying inside the parenthesis.
- Next would be to square/cube any parenthesis.
- Then, we can distribute.
- Then combine like terms.
Looking at this specific problem, we see that the terms inside parenthesis are ALREADY SIMPLIFIED, so disregard this step.
There aren't any square/cube to EXPAND, so disregard this step as well.
There IS DISTRIBUTION in this problem. Distributing -x with the term inside the parenthesis, (2-3x). Hence, distribution should be the FIRST STEP of this problem.
Fourth answer choice is right.
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Answer:
The correct option is
a. Loana established all necessary conditions but then used an inappropriate congruence criterion
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
1. PQ = RQ = 9 Given
2. m∠O = m∠S = 90° Given
3. m∠PQO = m∠RQS = 63° Given
4. ΔOPQ ≅ ΔSRQ Angle-Side-Angle Congruence
The given parameters shows that the side, adjacent angle, and next adjacent angle of triangle ΔOPQ are congruent to the corresponding side, adjacent angle, and next adjacent angle of triangle ΔSRQ, therefore, the appropriate congruency criterion that shows that ΔOPQ is congruence to ΔSRQ is the Side-Angle-Angle which is the same as the Angle-Angle-Side AAS, congruency criterion
Answer:
Option D.
Step-by-step explanation:
The given system of equations is
...(1)
...(2)
On simplifying the second equation, we get
On dividing by -1, we get
...(3)
It is clear that equation (1) and (3) are same equations. It means equation (1) and (2) represent the equivalent equation.
So, the given system of equations has infinitely many solutions.
Therefore, the correct option is D.