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astraxan [27]
3 years ago
14

If the vertex of a parabola is (2,-9) and another point on the curve is (5,-18). What is the coefficient of the squared expressi

on in the parabola's equation?
Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0
Parabola form : (y-k) = a(x-h)², where h and k are the vertex(h , k)
The vertex is given (2 , - 9), the equation of the parabola becomes:
y+9 = a(x-2)²
But we know this curve passes through (5, - 18)
Plug the respective values of x & y in the equation:
-18 +9 = a(5-2)² → - 9 = 9a & a = -9/9 and a= - 1
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Answer:

In 68229 ways can the quiz be selected such that there is atleast three multiple choice questions

Step-by-step explanation:

Given:

Number of True or false questions= 10

Number of multiple choice questions= 20

To Find:

How many ways can 5 questions can be selected if there must be at least three multiple choice questions =?

Solution:

Combination

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.  

The question States there sholud be ATLEAST 3 multiple choice question,

So, we may have

(3 Multiple choice question and 2 true or false question) or

(4 Multiple choice question and 1 true or false question) or

(5 Multiple choice question and 0 true or false question)

Required Number of ways = (20C3 X10C2) +(20C4 X10C1) + (20C5 X10C0)

Required Number of ways =(\frac{20!}{20!(20-3)!}\times\frac{10!}{10!(10-2)!})+(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-1)!}) +(\frac{20!}{20!(20-4)!} \times \frac{10!}{10!(10-0)!})

Required Number of ways = ( 1140 x 42) + (4845 x 10) +(15504 x 1)

Required Number of ways = 47880+48450+15504

Required Number of ways = 68229

3 0
3 years ago
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vodomira [7]

Answer:

Greatest common factor is 3x^2.

Step-by-step explanation:

5 0
3 years ago
What is the exact circumference of the circle?
Nitella [24]
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In short, Your Answer would be Option C

Hope this helps!</span>
7 0
3 years ago
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Step-by-step explanation:

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So the answer should be 30/4 = 7.5

Hope this is correct

8 0
2 years ago
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