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Pavlova-9 [17]
3 years ago
7

Plz answer hurry. 20 points for right answer

Mathematics
2 answers:
BlackZzzverrR [31]3 years ago
8 0
First, we need to define the function of (fog)(x)
(fog)(x) = f(g(x))
it means we need to substitute the x in the function f(x) with g(x)

f(x) = x + 7
change x with g(x)
fog(x) = g(x) + 7
fog(x) = \cfrac{1}{x-13} + 7

equalize the denominators
fog(x) = \cfrac{1}{x-13} + 7
fog(x) = \cfrac{1}{x-13}+\cfrac{7(x-13)}{x-13}

simplify
fog(x) = \cfrac{7x-91+1}{x-13}
fog(x) = \cfrac{7x-90}{x-13}

Second, determine the domain of the function
If the function is in fraction form, the denominator of the fraction can't be equal to zero.
x - 13 ≠ 0
x ≠ 13
The domain is {x| x≠13}
The answer is last option
lapo4ka [179]3 years ago
3 0
Did You Figure This Out I Need Help Too. Lol
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Are the two triangles similar? How do you know?
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There are several conditions where triangles can be proved similar:

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SAS - where two sides of a triangle compare to the corresponding sides in the other are in same proportion, and the angle in the middle are equal.

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In the case above, we can only use the method of SAS, as only two sides of the triangles are given.

<HMG = <JMK (vertically opposite angles)

HM/MK = 8/12 = 2/3

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As the two sides of a triangle comparing to the corresponding sides in the other are in same proportion, and the angle in the middle are equal, the above triangles are similar, with the prove of SAS.

Therefore, the answer is C.yes by SAS.

Hope it helps!
7 0
2 years ago
What is 4/2/7 as an improper fraction
Zanzabum

If "4/2/7" is all we have to work with, then PEMDAS rules will save the day. Do the division from left to right.

4/2 becomes 2. Then we have 2/7, a proper fraction. I don't see where an improper fraction would come from in this case.


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