Which shows the image of rectangle ABCD after the rotation () (W)? 13 VA 1 V

Mathematics

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer:

Graph (1)

Step-by-step explanation:

Given rule for the rotation of a figure is,

A(x, y) → A'(-y, x)

This rule defines the rotation of point A by 90° counterclockwise about the origin.

Coordinates of point A → (-2, 0)

Coordinates of point C → (-1, 0)

Following the rule of rotation,

A(x, y) → A'(-y, x)

A(-2, 0) → A'(0, -2)

C(-1, 4) → C'(-4, -1)

Now search the image points from the graphs attached,

Graph (1) will be the answer.

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There are 18 athletes trying out for the olympic swimming team. The coach only has room for 8 swimmers on the team. How many dif

Mice21 [21]

Answer:

43,758 different swimmer squad

Step-by-step explanation:

Given;

Total Number of athletes n = 18

Number of athletes needed to be selected r = 8

For this case, the coach need to select 8 players from a total of 18 athletes with no particular order. So, this is a combination case since the order of selection is not relevant.

The number of different swimmer squads the coach could select is;

S = nCr

nCr = n!/(r!×(n-r)!)

Substituting the values of n and r;

S = 18C8

S = 18!÷(8! × (18-8)!)

S = 18! ÷ (8!×10!)

S = 43,758

Therefore, he can select 43,758 possible different squads

5 0

3 years ago

Read 2 more answers

X plus 1/3 equals nine enter your answer in the box in simplest form

LekaFEV [45]

$= > x + \frac{1}{3} = 9$

$\text{Add} \: - \frac{1}{3} \: \text{ on both sides ,}$

$= > x + \frac{1}{3} - \frac{1}{3} = 9 - \frac{1}{3} \\ \\ \\ \\ = > x = \frac{(9 \times 3) - 1}{3} \\ \\ \\ \\ = > x = \frac{27 - 1}{3} \\ \\ \\ \boxed{ \bold{= > x = \frac{26}{3} }} \\ \\ \\ or , \boxed{ \bold{ \: x = 8. \bar{6}}}$

Hence,

$Value \: \: \: of \: \: x \: \: is \: \frac{26}{3} \: \: \: or \: \: \: 8. \bar{6}$