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RSB [31]
3 years ago
8

What is the area of this triangle?

Mathematics
1 answer:
crimeas [40]3 years ago
8 0

Answer: 54cm^{2}

The area of a triangle is given by:

A_{triangle}=\frac{(b)(h)}{2}

Where:

b=9cm is the base of this right triangle

h=12cm is the height of the triangle

Substituting the known values:

A_{triangle}=\frac{(9cm)(12cm)}{2}

Finally, the area of this triangle is:

A_{triangle}=54cm^{2}

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What is the output value of 2x^2-9x-5 input value is x=2
Kobotan [32]

Answer:

-15

Step-by-step explanation:

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A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.
antoniya [11.8K]
To me: given that the juice is sugar free means that I can ignore the 3 sugar apple juices and the 10 sugr grape juices.

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If, on the other hand, the problem is saying that the juice must be sugar free and also apple, that would be 9/27 or 1/3
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Caleb took 9 photos at the zoo. One third of his photos are of giraffes. Enter the number of Caleb's photos that are of giraffes
Serhud [2]

Answer:

3 pictures are giraffes

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2 years ago
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Svetradugi [14.3K]

i) The given function is

f(x)=\frac{3x-6}{5-2x}

The domain is all real values except the ones that will make the denominator zero.

5-2x=0

-2x=-5

x=2.5

The domain is all real values except, x=2.5.

ii) To find the vertical asymptote, we equate the denominator to zero and solve for x.

5-2x=0

-2x=-5

x=2.5

iii) If we equate the numerator to zero, we get;

3x-6=0

3x=6

This implies that;

x=2

iv) To find the y-intercept, we put x=0 into the given function to get;

f(0)=\frac{3(0)-6}{5-2(0)}.

f(0)=\frac{-6}{5}.

f(0)=-\frac{6}{5}.

v)

The degrees of both numerator and the denominator are the same.

The ratio of the coefficient of the degree of the numerator to that of the denominator will give us the asymptote.

The horizontal asymptote  is y=-\frac{3}{2}.

vi) The function has no common factors that are at least linear.

The function has no holes in it.

vii) This rational function has no oblique asymptotes because it is a proper rational function.

3 0
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