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LekaFEV [45]
3 years ago
9

8th term of 1/4,1/8,1/16,1/32

Mathematics
1 answer:
sukhopar [10]3 years ago
4 0
a_1=\dfrac{1}{4};\ a_2=\dfrac{1}{8};\ a_3=\dfrac{1}{16};\ a_4=\dfrac{1}{32};...\\\\it's\ a\ geometric\ sequence\ where\ a_1=\dfrac{1}{4}\ and\ r=\dfrac{1}{8}:\dfrac{1}{4}=\dfrac{1}{2}\\\\a_n=a_1r^{n-1}\\\\n=8\\\\a_8=\dfrac{1}{4}\cdot\left(\dfrac{1}{2}\right)^{7-1}=\dfrac{1}{4}\cdot\left(\dfrac{1}{2}\right)^6=\dfrac{1}{4}\cdot\dfrac{1}{64}=\dfrac{1}{256}
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2 years ago
Solve this system of equations: y = x2 – 3x 12 y = –2x 14 1.isolate one variable in the system of equations, if needed. y = x2 –
Dahasolnce [82]

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1 year ago
Write the slope-intercept form of the equation that fits the conditions.
LenaWriter [7]

Answer:

<em>y = 3x - 17</em>

Step-by-step explanation:

Here is the point-slope form of the equation of a line.

y - y_1 = m(x - x_1)

If you are given a slope, m, and a point on the line, (x1, y1), you just plug in the values into the equation above, and you get the equation of the line.

In your problem, you are given a point on the line, (5, -2). Now you need the slope of the line. Your line is perpendicular to the given line. The slopes of perpendicular lines are negative reciprocals. If you know the slope of a line, the slope of its perpendicular is found by flipping the fraction and changing the sign.

The given line has slope -1/3.

Flip -1/3 to get -3.

Now change the sign to get 3.

The slope of the line you need is 3. The line passes through point (5, -2).

Now we use the point-slope equation and we plug in the values we have.

y - y_1 = m(x - x_1)

y - (-2) = 3(x - 5)

y + 2 = 3x - 15

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3 years ago
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Marysya12 [62]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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choli [55]

Answer:

it is b.5/36

Step-by-step explanation:

5 0
3 years ago
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