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3 years ago

What is the line's slope?

Mathematics

2 answers:

TiliK225 [7]3 years ago

7 0

Answer:

-1/3

Step-by-step explanation:

NNADVOKAT [17]3 years ago

3 0

Answer:

$m=\frac{-1}{3}$

Step-by-step explanation:

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

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>:

Points (0, -1) and (-3, 0)

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

$m=\frac{0+1}{-3}$

$m=\frac{1}{-3}$

$m=\frac{-1}{3}$

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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/6 and the common ratio is 1/4?

OlgaM077 [116]

Answer:

$a_n = 16(\frac{1}{4})^{n - 1}$

Step-by-step explanation:

Given:

Fifth term of a geometric sequence = $\frac{1}{16}$

Common ratio (r) = ¼

Required:

Formula for the nth term of the geometric sequence

Solution:

Step 1: find the first term of the sequence

Formula for nth term of a geometric sequence = $ar^{n - 1}$ , where:

a = first term

r = common ratio = ¼

Thus, we are given the 5th term to be ¹/16, so n here = 5.

Input all these values into the formula to find a, the first term.

$\frac{1}{16} = a*\frac{1}{4}^{5 - 1}$

$\frac{1}{16} = a*\frac{1}{4}^{4}$

$\frac{1}{16} = a*\frac{1}{256}$

$\frac{1}{16} = \frac{a}{256}$

Cross multiply

$1*256 = a*16$

Divide both sides by 16

$\frac{256}{16} = \frac{16a}{16}$

$16 = a$

$a = 16$

Step 2: input the value of a and r to find the nth term formula of the sequence

nth term = $ar^{n - 1}$

nth term = $16*\frac{1}{4}^{n - 1}$

$a_n = 16(\frac{1}{4})^{n - 1}$

3 0

3 years ago

You are constructing a tangent line from a point outside a given circle to the circle. You have drawn the circle, a point outsid

sveta [45]

Yikes I might go with C.

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3 years ago

Read 2 more answers

Find one value of x for which f(x)=1 and find f(-2)

loris [4]

Step-by-step explanation:

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f(-2) = 1

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2 years ago

Can the sine rule relationship in trigonometry be used with non right angled triangle?

vaieri [72.5K]

Answer:

Yes

Step-by-step explanation:

The sine rule works on all triangles (not just right-angled triangles) where a side and it's opposit angles are known.

4 0

3 years ago

HEY!!! YES, YOU!!! WANNA HELP OUT A FELLOW SUFFERING VICTIM OF MATH? NOWS YOUR CHANCE!!! PLEASE HELP! 10 PTS!!!

rosijanka [135]

Answer:

16 cm

Step-by-step explanation:

Suppose that x is the original width. If that original width is enlarged by a scale factor 5/2 that means that x is multiplied by 5/2 and after that multiplication we obtained new width, 40 cm.

Therefore,

x*(5/2) = 40

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3 years ago