Corinne is 6 years younger than her brother. Which of the following expressions shows the sum of their ages if b represents Cori
nnes brothers age? (2 points) b − 6 2b − 6 2(b − 6) b ÷ 6
2 answers:
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Answer:
1) The vertex form of is
, 2) The stone reaches its maximum height 2 seconds after being thrown.
Step-by-step explanation:
1) Given that height of the stone is represented by a second-order polynomial, which depicts a parabola as graph. The best approach to determine the instant when stone reaches its highest is by vertex form, whose form is:
Where:
,
- Instant and maximum height of the stone, measured in seconds and meters.
- Vertex constant, which must be negative as there is an absolute maximum, measured in meters per square second.
Let be , which is transformed into vertex form:
i) Given
ii) Distributive property/
iii) Existence of additive inverse/Definitions of addition and subtraction
iv) Distributive property/
/Perfect square binomial
v) Compatibility with addition/Existence of additive inverse/Modulative property/Definition of subtraction/Result
The vertex form of is
.
2) The time can be extracted from previous results, which indicates that stone reaches its maximum height 2 seconds after being thrown.