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yuradex [85]
3 years ago
8

Please help me answer this with an explanation

Mathematics
2 answers:
Nata [24]3 years ago
5 0
You need to find the slope first. (-9,-4). (3,4)

-4-4= -8
-9-3 =-12. Slope is -8/-12 or 8/12 or 2/3


Perpendicular is the negative reciprocal. Or flip over the 2/3 and make it negative.

The answer is - 3/2
elixir [45]3 years ago
5 0

The change in y as we move from the first point to the second is 8, and the corresponding change in x is 12.  Thus, the slope of the line thru these two points is 8/12, or 2/3 (answer C).

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the distance between points M and P

Step-by-step explanation:

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3 years ago
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Which function has an inverse function?
daser333 [38]

Answer: Option B

Step-by-step explanation:

By definition, only those functions that are one to one have an inverse function.

A function is one by one if there are not two different input values, x_1 and x_2, that have the same output value y

Note that the function f(x)= \frac{|x+3|}{5}  is not a one-to-one function

When x=2  f(x)= \frac{|2+3|}{5}=1\ ,\ \ y=1

When x=8  f(x)= \frac{|-8+3|}{5}=1\ \ ,\ y=1

Note that the function f(x)= \frac{x^4}{7}+ 27  is not a one-to-one function

When x=1 f(x)= \frac{(1)^4}{7}+27\ ,\ \ y=\frac{190}{7}

When x=-1  f(x)= \frac{(-1)^4}{7}+27\ ,\ \ y=\frac{190}{7}

Note that the function f(x)= \frac{1}{x^2}  is not a one-to-one function

When x=1 f(x)= \frac{1}{(1)^2}\ ,\ \ y=1

When x=-1  f(x)= \frac{1}{(-1)^2}\ ,\ \ y=1

Then the answer is the option B.

You can verify that The function f (x) = x ^ 5-3 is a one-to-one function and therefore its inverse is a function

5 0
3 years ago
Find the distance speed=96km/h time=20 mins
Alex_Xolod [135]

Answer:

32km

Step-by-step explanation:

speed=96km/h

time=20mins=1/3hour

<h3>Distance=Speed×Time</h3>

➜96×1/3

➜96/3

➜32km

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Graph the linear equation.

Step-by-step explanation:

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