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kondaur [170]
3 years ago
10

Enter the explicit rule for the geometric sequence. 14,12,1,2,4,…

Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

an = 2^{n-3}

Step-by-step explanation:

Explicit rule for Geometric series is given by

a_n = ar^{n-1}

Here a is the first term and r is the common ratio.

in our question  first term a = \frac{1}{4}

common ratio r = 2

therefore explicit rule an = \frac{1}{4} 2^{n-1}

                                 or

                              an=    2^{n-3}

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What is a parallel slope for the line y = 2x + 2?
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Answer: 2

Step-by-step explanation:

The slope is equal to 2 by it being in the slope place of y=mx+b

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3 years ago
A square patio has a area of 215 square feet. how long is each side of the patio to the nearest 0.05
Vanyuwa [196]

A square has all 4 sides the same.

When given the area of a square , you can find the length of the side by finding the square root of the area:


Side length = √215

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Graph the function: <br> f(x)=5/2x-6
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Read 2 more answers
Find the equation of the line through ( - 10, - 8) that is perpendicular to the line through (10,6), (5,5).
Furkat [3]

Answer:

y=-5x-58

Step-by-step explanation:

The equation of a line in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

Perpendicular lines have opposite reciprocal slopes.

Anyways we need to find the slope of the line going through (10,6) and (5,5).

To find the slope, we are going to line up the points vertically and subtract vertically, then put 2nd difference over 1st difference. Like so:

 (  10   ,   6)

- (   5   ,   5)

------------------

    5         1

So the slope of the line through (10,6) and (5,5) is 1/5.

The slope of a line that is perpendicular will be the opposite reciprocal of 1/5.

The opposite reciprocal of 1/5 is -5.

The line we are looking for is y=-5x+b where we need to find the y-intercept b.

y=-5x+b goes through (-10,-8)

So we can use (x,y)=(-10,-8) to find b in y=-5x+b.

y=-5x+b with (x,y)=(-10,-8)

-8=-5(-10)+b

-8=50+b

Subtract 50 on both sides:

-8-50=b

-58=b

So the equation is y=-5x-58

4 0
3 years ago
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