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3 years ago

-2y^2-19y+33 trail and error

Mathematics

1 answer:

Alexandra [31]3 years ago

7 0

Answer: (-2y+3)(y+11)

Step-by-step explanation:

33 is 3×11 so expect something like

(y+3)(y+11) = y^2+14y+33

leading term has coefficient -2 so

one factor is like (-2y+__)

Try (-2y+3)(y+11) = -2y^2-19y+33

which happens to be the answer

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Is it possible to have a triangle such that none of the exterior angles is obtuse? Please help and explain

PolarNik [594]

Answer: No, it is not possible

A triangle can only have 1 obtuse interior angle, leaving the exterior angle next to it to be acute. For example, if you have an interior angle of 120 (obtuse) then the adjacent exterior angle is 60 (acute)

The other two interior angles must be acute if you go with 1 obtuse angle, which leaves the corresponding exterior angles to be obtuse. If you wanted the exterior angles to be all acute, then you would need 3 obtuse interior angles, but that is not possible.

Why isn't it possible to have 3 obtuse angles? Consider a triangle with interior angles A, B, C. The three angles must add to 180

A+B+C = 180

If A,B,C were all larger than 90, then

A > 90

B > 90

C > 90

A+B+C > 90+90+90

A+B+C > 270

but that contradicts A+B+C being equal to 180

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3 years ago

Atevery bus station, busses depart at a rate of 3 every 10 minutes. At this rate, how many buses would you expect to depart in o

Ber [7]

Rate of 3 every 10 minutes.

In 10 minutes there are 3 buses.

In 1 minute it is (3/10). For 1 hour = 60 minutes.

For 60 minutes = 3/10 * 60 = 18.

18 buses.

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3 years ago

What is the equation of the function that is graphed as line a?

Ede4ka [16]

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3 years ago

I need help with this question can some please help me !

nalin [4]

Answer:

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Step-by-step explanation:

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3 years ago

Use set notation to denote the elements, subsets, and complements of the following given sets.

vlabodo [156]

Answer:

N = {13, 15, 17, 19} is the correct answer.

Step-by-step explanation:

We are given with the following details:

N is the set of odd natural numbers.

N contains the elements which are greater than 11 and less than 21.

To write: The set notation for the elements of set N.

Solution:

First of all, let us see what are odd natural numbers.

Natural numbers are the positive integers i.e. {1,2,3,4, ........ }

Odd Natural numbers are the natural numbers which leave remainder as 1 when divided by 2 i.e. {1,3,5,7,9,11,13, ...... 21, 23, 25, 27.....}

Here, set N is odd natural numbers greater than 11 (so 11 will not be included) and less than 21 (so 21 will not be included). Odd natural numbers between 11 and 21 will be included.

So the answer will be N = {13,15,17,19}.

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3 years ago