Find the slope of the following ponit (5,1) and (7,-3)
2 answers:
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Answer:
B. f(x) = 3/(x^2 +2x +1)
E. f(x) = 5/(3+x)
Step-by-step explanation:
The above functions have denominators that are zero at one point. For B, that point is x=-1; for E, that point is x=-3. When the denominator is zero, the function is undefined, so the corresponding x-value must be excluded from the domain.
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As written, choice D also qualifies. This is because the function written in the answer list here is ...
It will be undefined for x=0.
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<em>Comment on writing rational functions</em>
When the division symbol (/ or ÷) is used with a denominator that is a product or sum, that product or sum must be enclosed in parentheses. When the expression is typeset, the division bar acts as a grouping symbol. When the expression is written in text, a grouping symbol, such as parentheses, must be added.
Answer:
{39, 52, 65}
Step-by-step explanation:
<u><em>The complete question is</em></u>
Which of the following sets of numbers could represent the three sides of a right triangle?
{44, 60, 75}
{30, 73, 78}
{37, 77,85}
{39, 52, 65}
we know that
The three sides of a right triangle must satisfy the Pythagorean Theorem
so
where
c is the greater side (the hypotenuse)
a and b are the legs (perpendicular sides)
<u><em>Verify each case</em></u>
case 1) we have
{44, 60, 75}
Let
substitute
----> is not true
so
The set of number could not represent the three sides of a right triangle
case 2) we have
{30, 73, 78}
Let
substitute
----> is not true
so
The set of number could not represent the three sides of a right triangle
case 3) we have
{37, 77,85}
Let
substitute
----> is not true
so
The set of number could not represent the three sides of a right triangle
case 4) we have
{39, 52, 65}
Let
substitute
----> is true
so
The set of number could represent the three sides of a right triangle