Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line.
1 answer:
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Answer: The missing step is,
m∠OCP ≅ m∠ABC because corresponding angles made by the same transversal on the parallel lines are congruent.
Step-by-step explanation:
Given : ,
And,
We have to Prove : Angle PCQ is complementary to angle ABC
⇒
Proof: Since,
⇒
But, ( By angle addition postulate )
⇒ ( By transitive property of equality )
Since, ,
⇒ ( corresponding angles made by the same transversal are congruent)
⇒ ( By the definition of congruent angles )
This leads,
( by the transitive property of equality )
Thus, by the definition of complementary angles,
Angle PCQ is complementary to angle ABC
Hence proved.
ANSWER
See explanation
EXPLANATION
The standard form of a quadratic equation is:
To convert this function to standard form, you follow the steps below:
- Factor 'a' from the variable terms
- Add and subtract the square of half the coefficient of x.
- Factor the perfect squares
- Simplify the constant terms to get the vertex form as
For example:
Given the standard form:
Factor 2 from the variable terms
Add and subtract the square of 3.
Factor the perfect square an simplify
This is the vertex form
Answer:
Option C is the answer.
Step-by-step explanation:
The given equation is :
Now, we can re write this in decreasing order of powers.
As we can see, that it is in the form of quadratic equation ;
We can assign values to a, b and c.
a = 3
b = 10
c = -5
Therefore, the answer is option C: b=10