What value of c make polynamial below a prefect square ? x^2+10x+c C=
1 answer:
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Answer:
The answer is 4
Step-by-step explanation:
Given,
Now, the expression
∴
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Answer:
$4
Step-by-step explanation:
The two purchases can be written in terms of the cost of an adult ticket (a) and the cost of a student ticket (s):
7a +16s = 120 . . . . . . . . price for the first purchase
13a +9s = 140 . . . . . . . . price for the second purchase
Using Cramer's rule, the value of s can be found as ...
s = (120·13 -140·7)/(16·13 -9·7) = 580/145 = 4
The cost of a student ticket is $4.
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<em>Comment on Cramer's Rule</em>
Cramer's rule is particularly useful for systems that don't have "nice" numbers that would make substitution or elimination easy methods to use. If you locate the numbers in the equation, you can see the X-patterns that are used to compute the numerator and denominator differences.
The value of a is (16·140 -9·120)/(same denominator) = 1160/145 = 8. I wanted to show you these numbers so you could see the numerator X-pattern for the first variable.
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Of course, graphical methods can be quick and easy, too.
Answer:
SA = 108π cm²
Step-by-step explanation:
The surface area (SA) of a sphere is calculated as
SA = 4πr² ( r is the radius )
Thus the SA of a hemisphere is
SA = × 4πr² = 2πr²
The area of the circular base = πr²
Then total SA is
SA = 2πr² + πr² = 3πr² = 3π × 6² = 3π × 36 = 108π cm²