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3 years ago

Point A is located at (0, -2) and is rotated 180°. What are the coordinates of point A'?

Mathematics

2 answers:

nalin [4]3 years ago

7 0

Answer:

(0,2)

Step-by-step explanation:

Rule for a rotation of 180° about the origin: $(x,y)\rightarrow(-x,-y)$

We are given the point (0, -2).

Applying the rule:

$(0,-2)\rightarrow(0,2)$

A' should be at (0,2).

Naya [18.7K]3 years ago

4 0

Answer: The coordinates will be (0,2) after a 180 degrees rotation.

Step-by-step explanation:

90 180

(0,-2) → ( -2,0)→ ( 0,2)

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2 years ago

There's a pair of points (3,5), (x,15) and a slope of 2 how do I find x

sergeinik [125]

You have the slope and you have two points, so you can use the slope equation to find x.

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3 years ago

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If z is inversely proportional to r, and z= 32 when r=1.5, find r when z=8.

lions [1.4K]

Inversely proportional: z = k/r
k = 32 * 1.5 = 48
Plug that into equation
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3 years ago

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

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

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3 years ago

What are the coordinates of the point labeled C in the graph?

kykrilka [37]

The answer is B x axis first

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