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nekit [7.7K]
3 years ago
8

What are the lengths of DE and EF. Answer with supporting work:

Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0
The length of DE is 39 and the length of EF is 36 because we can see from side AC and DF that triangle DEF is just triangle ABC dilated by 3.
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What are the points of discontinutity y=(x-3)/x^2-12x+27
madreJ [45]

Answer:

(3, -\frac{1}{6})

Step-by-step explanation:

We can rewrite the equation as

y = \frac{x - 3}{(x - 3)(x - 9)}

Notice that we have x - 3 in both the numerator and the denominator, so it looks like we can divide it out. However, what if x - 3 is 0? Then we would have y = \frac{0}{0 \times (x - 9)} = \frac{0}{0}, which is undefined. So although it looks like the numerator and denominator can be simplified, the resulting function we would get from simplification would not have the same behavior as this one (since such a function would be defined for x = 3, but this one is not).

A point of discontinuity refers to a particular point which is included in the simplified function, but which is not included in the original one. In this case, the point which is not included in the unsimplified function is at x = 3. In the simplified version of the function, if we plug in x = 3, we get

y = \frac{1}{((3) - 9)} = -\frac{1}{6}

So the point (3, -\frac{1}{6}) is our only point of discontinuity.

It's also important to distinguish between specific points of discontinuity and vertical asymptotes. This function also has a vertical asymptote at x = 9 (since it causes the denominator to be 0), but the difference in behavior is that in the case of the asymptote, only the denominator becomes 0 for a specific value of x

5 0
3 years ago
Read 2 more answers
Please help!!! This is 12 points!!! I’ll mark brainliest!!!!
Nady [450]

Answer:

x: 23

y: -46

Step-by-step explanation:

so sorry if this is wrong, but i think thats it

6 0
3 years ago
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Help me iv been trying from this morning
GalinKa [24]

Answer:

i did the first

Step-by-step explanation:

1st way

Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5

y = -2/3*X^2-16/3*X-17/3

X = -4 ±√( 15/2) = -6.7386, or -1.2614

Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)

two real roots: X=-1.2613872124776866 and -6.738612787477313

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3 years ago
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What is all the fractions that are greater than 4 1/2
Tems11 [23]
Umm, I need the numbers that are given but I can give you examples. It can be 5 1/6 or like 5 4/9

The whole number needs to be bigger
3 0
3 years ago
1. Find the inverse functions of the following<br> a. f (x) = 5x +3
Mrac [35]

Answer:

y = 5x + 3

x = 5y + 3

5y + 3 = x

5y = x - 3

y = x/5 - 3/5

f^-1(x) = x/5 - 3/5

Step-by-step explanation:

8 0
3 years ago
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