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NikAS [45]
3 years ago
10

NEED HELP WITH A MATH QUESTION

Mathematics
1 answer:
Lady_Fox [76]3 years ago
3 0

Answer:

\dfrac{18}{5}

Step-by-step explanation:

The picture shows three isosceles tirangles with the same legs. The base of each triangle is 12 units, 5x-3 units and 17 units.

Since the angles at vertex of each isosceles triangles are 27°, 28° and 29°, then the lengths of the bases satisfy the double inequality

15<5x-3<17

Add 3 to this inequality

15+3<5x-3+3<17+3

18<5x<20

Divide it by 5:

\dfrac{18}{5}

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3 years ago
In the following pair of polynomials, the second polynomial is a factor of the first. Factor completely x^3+3x^2-18x , x-4
OLga [1]

Answer:

The required factors are: x, (x + 6) and (x - 3).

Step-by-step explanation:

As per the question,

The given polynomial is:

x^{3}+3x^{2}-18x

Now,

BY factorization, we get

x^{3}+3x^{2}-18x

=x(x^{2}+3x-18)

By splitting the mid-term, that is split 3x like:

3x = 6x - 3x

Therefore,

x(x^{2}+6x-3x-18)

Now on further solving by taking common factor out, we get

=x[x(x+6)-3(x+6)]

=x(x+6)(x-3)

Therefore, the given second polynomial (x - 4), is not a factor of given polynomial x^{3}+3x^{2}-18x.

Hence, the given polynomial has three factor x, (x + 6) and (x - 3).

8 0
3 years ago
20.   Factor –25x – 5.
zvonat [6]
It would be: -25x - 5
Take -5 as a common here, 

-5 ( 5x + 1)

In short, Your Answer would be Option B

Hope this helps!
5 0
3 years ago
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