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skad [1K]
3 years ago
11

An equilateral triangle has a side length of 3x^2 - 4x + 9. What is the perimeter of the triangle?

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Answer:

peri=3(3xsq-4x+9)

=9x^2-12x+27

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2(b+4)
2 is the GCF
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Describe how to find the Greatest common factor if two numbers by using prime factorization
gizmo_the_mogwai [7]
To find the greatest common factor using prime factorization by only using prime number divided into the dividend then you continue til it reaches 1 then the prime factorization would look like this e.g. 2×3×5×11
6 0
3 years ago
A triangular prism container is full of water of 428 cubic cm. The water is 10 cm deep, what is the base area of the container?
Hatshy [7]
<h3>The base area of triangular prism container is 42.8 cubic centimeter</h3>

<em><u>Solution:</u></em>

<em><u>The volume of triangular prism is given as:</u></em>

v = base\ area \times height

Given that,

A triangular prism container is full of water of 428 cubic cm

The water is 10 cm deep

Therefore,

v = 428 cubic cm

h = 10 cm

<em><u>Substituting the values we get,</u></em>

428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2

Thus the base area of triangular prism container is 42.8 cubic centimeter

3 0
3 years ago
If j and k are parallel lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and
natita [175]

A and B are points on j.

C and D are points on k.

Join AD and BC.

ABCD is a quadrilateral.

Clearly, the quadrilateral ABCD is the only plane that contains the points A, B, C and D.

Hence, correct answer is option A. Exactly one.

8 0
3 years ago
Please help!posted picture of question
olchik [2.2K]
Answer:
\frac{x^2 - 5}{4x + 1}, x ≠ -1/4

Explanation:
We are given that:
f (x) = 4x + 1
g(x) = x² - 5

We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:
( \frac{g}{f} )(x) =  \frac{g(x)}{f(x)} =  \frac{x^2 - 5}{4x + 1}

Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.

Based on the above, the last option is the correct one.

Hope this helps :)
8 0
3 years ago
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