All categories

3 years ago

What is the image point of (2, -5) after a rotation of 90 degrees counterclockwise about the origin?

Mathematics

1 answer:

aksik [14]3 years ago

8 0

Answer:

(5,-2)

Step-by-step explanation:

mapping is (x, y)=(-y,-x)

(2,-5)=(5,-2)

90° counterclockwise is (5,-2)

Thanks

Hope it helps

You might be interested in

3. What are the factors in this expression 9+ (x-7)(Y+6)

stepladder [879]

Try 6578 :) I think that may be right,

7 0

3 years ago

What is the range of the relation? {(1, 2), (2, 4), (3, 2), (4, 6)} A.{2, 4} B.{1, 2, 3, 4, 6} C.{2, 4, 6} D.{1, 2, 3, 4}

tamaranim1 [39]

$(1)\ \ \ \ range:\ \ \ \{2, 4, 6\}\ \ \ \Rightarrow\ \ \ Ans.\ C\\\\(2)\ \ \ function:\ \ \ \{(1, 2); (2, 2); (3, 2); (4, 2)\}\ \ \ \Rightarrow\ \ \ Ans.\ D\\\\(3)\ \ \ f(4)=2-3\cdot4=2-12=-10\ \ \ \Rightarrow\ \ \ Ans.\ C\\\\(4)\ \ \ direct:\ \ \ y=ax\ \ \ \Rightarrow\ \ \ y= \frac{1}{3} x\ \ \ \Rightarrow\ \ \ Ans.\ B\\\\(5)\ \ \ f(x)=ax\ \ \ and\ \ \ f(4)=12\\.\ \ \ \ \ \Rightarrow\ \ \ 12=a\cdot4\ \ \ \Rightarrow\ \ \ a=3\ \ \ \Rightarrow\ \ \ f(x)=3x\ \ \ \Rightarrow\ \ \ Ans.\ (?)\\\\$

$(6)\ \ \ f(x)=ax^2\ \ \ and\ \ \ f(2)=48\\.\ \ \ \Rightarrow\ \ 48=a\cdot2^2\ \ \Rightarrow\ \ a=48:4=12\ \ \Rightarrow\ \ f(x)=12x^2\ \Rightarrow\ \ Ans.\ C\\\\(7)\ \ \ inversely:\ \ \ f(x)= \frac{a}{x} \ \ \ and\ \ \ f(2)=4\\.\ \ \ \Rightarrow\ \ \ 4= \frac{a}{2} \ \ \ \Rightarrow\ \ \ a=4\cdot2=8\ \ \ \Rightarrow\ \ \ y= \frac{8}{x}\ \ \ \Rightarrow\ \ \ Ans.\ B$

5 0

4 years ago

Which equation represents a line which is perpendicular to the line 2x + y = -5?

Gnesinka [82]

Step-by-step explanation:

Given expression;

2x + y = -5;

The given equation must be written in a form where the slope is the negative inverse of the given one.

A line perpendicular to another will have a negative inverse slope.

2x + y = -5

Equation of a straight line is generally written as;

y = mx + c

y and x are the coordinates

m is the slope

c is y - intercept

2x + y = -5

y = -2x -5

The slope of the perpendicular = $\frac{1}{2}$

So,

the new line;

y = $\frac{1}{2}$ x -5

Any line with slope of $\frac{1}{2}$ will be perpendicular

7 0

3 years ago

Rewrite the expression in the form 9^n

gulaghasi [49]

Answer:

9^-3/9^12

Step-by-step explanation:

8 0

3 years ago

Which of the following is an appropriate measure of central tendency to apply to the following sorted list of professional wrest

Anna35 [415]

The measures of central tendency, fancy words for the middle, are

C. Mode
D. Mean
E. Median

7 0

3 years ago

Read 2 more answers