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disa [49]
3 years ago
10

The type of triangle formed by joining the points (7,10), (-2 ,5) and (3, -4)

Mathematics
1 answer:
Arturiano [62]3 years ago
5 0
A scalene triangle is formed from the three points.
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Differentiate Functions of Other Bases In Exercise, find the derivative of the function.
WARRIOR [948]

Answer:

\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}

Step-by-step explanation:

given

y = \log_{10}{(x^2+6x)}

using the property of log \log_ab=\frac{log_cb}{log_ca}, and if c =e,\log_ab=\frac{ln{b}}{ln{a}}, we can rewrite our function as:

y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}

now we can easily differentiate:

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)

\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)

\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}

This is our answer!

3 0
3 years ago
Read 2 more answers
Which function has the following characteristics?
iren [92.7K]

Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at y = -\frac{1}{2} is given by:

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

<h3>What are the asymptotes of a function f(x)?</h3>

  • The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.
  • The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:

f(x) = \frac{g(x)}{x - 3}

The horizontal asymptote at y = -1/2 means that:

\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}

Which happens if g(x) = -\frac{x}{2}, hence the function is:

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

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

4 0
2 years ago
Q # 15 please somebody help me
soldier1979 [14.2K]
It’s Answer b 7m + 9
8 0
3 years ago
Read 2 more answers
Plz help me if u don’t know plz don’t answer I don’t have many points
Olenka [21]

Answer:1st same  2nd same 3rd diffrent 4 the same

Step-by-step explanation:

6 0
3 years ago
A total of 40 people made cakes for a bake sale.  Each person made 3 cakes.  Ms. Sanchez
Elena L [17]
18 chocolate cakes were made. 40(3)= 120 cakes in total. 15%=.15 .15(120)= 18 
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