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vladimir1956 [14]

3 years ago

11

Find the common ratio for the following sequence. 27, 9, 3, 1, ...

1 answer:

Elenna [48]3 years ago

7 0

The following ratio would be 1/3. Its a fraction so you would also be able to say 1.3. :)

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Find the coordinates for the midpoint of the segment with endpoints given 12,4 and -8,8

borishaifa [10]

<h2>Hello!</h2>

The answer is:

The coordinates of the midpoint are:

$x-coordinate=2\\y-coordinate=6$

<h2>Why?</h2>

We can find the midpoint of the segment with the given endpoints using the following formula.

The midpoint of a segment is given by:

$MidPoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

We are given the points:

$(12,4)\\$

and

$(-8,8)\\$

Where,

$x_{1}=12\\y_{1}=4\\x_{2}=-8\\y_{2}=8$

So, calculating the midpoint, we have:

$MidPoint=(\frac{12+(-8)}{2},\frac{4+8}{2})$

$MidPoint=(\frac{4}{2},\frac{12}{2})$

$MidPoint=(2,6)$

Hence, we have that the coordinates of the midpoint are:

$x-coordinate=2\\y-coordinate=6$

Have a nice day!

8 0

3 years ago

Read 2 more answers

Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined

Musya8 [376]

Answer:

-\frac{7}{6}

Step-by-step explanation:

We can use the slope formula for the segment that joins any two points $(x_1, y_1)$ and $(x_2, y_2)$ :

$slope=\frac{y_2-y_1}{x_2-x_1}$

which in our case gives:

$slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}$

5 0

2 years ago

Helppp me please...?.?)

butalik [34]

The answer would be 16 because 40 divided by 5 is 8 and 8 times 2 is sixteen so it would be 16

8 0

3 years ago

Read 2 more answers

Limit definition for slope of the graph, equation of tangent line point for<br> f(x)=2x^2 at x=(-1)

Tems11 [23]

The slope of the tangent line to $f$ at $x=-1$ is given by the derivative of $f$ at that point:

$f'(-1)=\displaystyle\lim_{x\to-1}\frac{f(x)-f(-1)}{x-(-1)}=\lim_{x\to-1}\frac{2x^2-2}{x+1}$

Factorize the numerator:

$2x^2-2=2(x^2-1)=2(x-1)(x+1)$

We have $x$ approaching -1; in particular, this means $x\neq-1$ , so that

$\dfrac{2x^2-2}{x+1}=\dfrac{2(x-1)(x+1)}{x+1}=2(x-1)$

Then

$f'(-1)=\displaystyle\lim_{x\to-1}\frac{2x^2-2}{x+1}=\lim_{x\to-1}2(x-1)=2(-1-1)=-4$

and the tangent line's equation is

$y-f(-1)=f'(-1)(x-(-1))\implies y-4x-2$

6 0

2 years ago

Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for ass

Inessa05 [86]

Answer:

The probability that the next customer will purchase a wireless phone is 0.1

Step-by-step explanation:

The relative frequency approach states<em> how often something happens divided by all outcomes</em>.

In the example some of the customers entering a supermarket purchased a wireless phone.

Here all outcomes are 500 customer entering supermarket. And among these outcome purchasing wireless phone happened 50 times.

Then the probability that the next customer will purchase a wireless phone is

$\frac{50}{500}$ .

If we divide both sides by 50, we get $\frac{1}{10}$ =0.1

3 0

3 years ago