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jeka57 [31]
3 years ago
11

What is the common ratio of this one?

Mathematics
1 answer:
Furkat [3]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

The common ratio in a geometric sequence is the number you multiply to previous term to get the term after.

Dividing by a number is the same as multiplying by that 1/number.

So the common ratio here is 1/4.

This is a geometric sequence since you are able to find all the terms in this sequence by multiplying 1/4 to it's previous term.

Examples:

160(1/4)=40

40(1/4)=10

10(1/4)=10/4=2.5

2.5(1/4)=2.5/4=0.625.

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Write the standard form of the line that passes through (-1,-3) and (2,1).
kobusy [5.1K]

Answer:

Step-by-step explanation:

\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\

\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\

Convert equation to standard form

y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5

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4 years ago
Write the equation of the given line in slope-intercept form.​
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Answer:

y = 2x - 1

Step-by-step explanation:

Slope intercept form: y=mx+b

point a: (1, 1)

point b: (2, 3)

1. Find the slope of the equation

Equation for slope(mx): (y2- y1)/ (x2-x1)

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slope: 2

2. Pick any of the two point to find the "b" and plug in the coordinates of the point to find the y-intercept of the equation.

point a: y=1, x=1

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1=2(1) + b

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3. Plug the answers you found above into the slope-intercept form

Overall equation:

y=2x - 1

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