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4 years ago

What is the common ratio for the sequence 5, -10, 20, -40, ...?

Mathematics

2 answers:

Lesechka [4]4 years ago

7 0

The common ratio would be -2
-10/5 = -2
-40/20 = -2

solmaris [256]4 years ago

4 0

The sequence is multiply by -2

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75% as a fraction in simplest form

shepuryov [24]

Answer:

3/4

Step-by-step explanation:

7 0

3 years ago

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line m contains the points -3,4 and 1,0. write the equation of a line that would be perpendicular to this one and pass through t

castortr0y [4]

The equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6) in point slope form is y = x + 8

<h3>Solution:</h3>

Given that line m contains points (-3, 4) and (1, 0)

We are asked to find the equation of line perpendicular to line containing points (-3, 4) and (1, 0) and passes through (-2, 6)

Let us first find slope of the line "m"

Given two points are (-3, 4) and (1, 0)

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

$\left(x_{1}, y_{1}\right)=(-3,4) \text { and }\left(x_{2}, y_{2}\right)=(1,0)$

$m=\frac{0-4}{1-(-3)}=-1$

Thus slope of line m is -1

We know that product of slope of given line and perpendicular line are always -1

So, we get

$\begin{array}{l}{\text { slope of line } m \times \text { slope of perpendicular line }=-1} \\\\ {-1 \times \text { slope of perpendicular line }=-1} \\\\ {\text { slope of perpendicular line }=1}\end{array}$

So we have got the slope of perpendicular line is 1 and it passes through (-2, 6)

Let us use the point slope form to find the required equation

The point slope form is given as:

$y - y_1 = m(x - x_1)$

$(x_1, y_1) = (-2, 6)$ and m = 1

y - 6 = 1(x - (-2))

y - 6 = x + 2

y = x + 8

Thus equation of required line in point slope form is y = x + 8

7 0

3 years ago

Which expression is equivalent to (2^3)^-5 a. 1/2^15 b. 1/2^8 c. 2^8 d.2^15?

koban [17]

(2^3)^-5 = 2^(3 x -5) = 2^-15 = 1/2^15

4 0

3 years ago

PLEASE HELPPP

Gnesinka [82]

Answer:

B- 168 people

Step-by-step explanation:

300 * .56 is how you would get 56% (or the amount of car owners preferring four car doors) of the sampled population!

That equals 168 people.

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3 years ago

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Find the positive difference between the two solutions to the equation <img src="https://tex.z-dn.net/?f=%20%5Cdisplaystyle%5Csq

Verizon [17]

$\displaystyle\sqrt[3]{4 - \frac{x^2}{3}} = -2 \\\\ 4-\dfrac{x^2}{3}=-8\\\\ 12-x^2=-24\\\\ x^2=36\\\\ x=6 \vee x=-6\\\\ 6-(-6)=6+6=12$

8 0

4 years ago