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3 years ago

What is the image of (1, -6) for a 270° counterclockwise rotation about the origin?

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

8 0

Answer:

The image of (1,-6) is (-6,-1)

C is correct

Step-by-step explanation:

Given: (1,-6) rotate 270° counterclockwise rotation about the origin.

For 270° counterclockwise rotation about the origin.

$(x,y)\overset{270^\circ}{\rightarrow}(y,-x)$

$(1,-6)\overset{270^\circ}{\rightarrow}(-6,-1)$

(1,-6) lie in IV quadrant.

After 270° counterclockwise rotation about the origin

Point image form in III quadrant.

Hence, The image of (1,-6) is (-6,-1)

gulaghasi [49]3 years ago

7 0

I think (-1,-6)
hope this help

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50 POINTS .....................

Alenkinab [10]

The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

$\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}$

$\rm c = \dfrac{\sum y -m \sum x}{n}$

We have data shown in the picture.

Let's suppose the regression line is:

y = mx + c

Where m is the slope of the regression line and c is the y-intercept of the line.

We can calculate the value of m and c by using the formula.

After calculating, we get:

m = 0.4925

c = -22.26

Mus. Apt. = 0.49253(IQ score) - 22.26

Mus. Apt. = -22.26 + 0.4925(IQ score)

Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.

Learn more about the line of best fit here:

brainly.com/question/14279419

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4 0

2 years ago

Simplify (5x-5)-1(x+8

Nataliya [291]

simplified is

4x-13

4 0

3 years ago

Solve the radical equation x – 7 = square root of -4x+28. Which statement is true about the solutions to the radical equation? T

Julli [10]

Answer:

x = 3 and 7

There are two true solutions.

Step-by-step explanation:

To solve $x-7 = \sqrt{-4x+28}$ , use inverse operations by squaring both sides of the equal sign.

$(x-7)^2 = (\sqrt{-4x+28})^2\\x^2-14x+49 = -4x+28\\x^2-14x+4x+49-28 = 0\\x^2-10x+21=0$

The quadratic expression can be factored into binomials and set equal to 0 by the zero product property to find x.

(x - 3) ( x - 7) = 0

x-3 = 0 so x=3

x-7 = 0 so x=7

Now check each solution into the original equation to be sure it solve the solution and is not extraneous.

$7-7 = \sqrt{-4(7)+28}\\ 0=0$

and

$3-7 = \sqrt{-4(3)+28}\\[tex]-4 = \sqrt{16}\\-4 =-4$ [/tex]

3 0

3 years ago

Add. Simplify (or reduce) your answer, if necessary 1/4 +2/7+1/2=

Bumek [7]

Hey there! :)

Answer:

29/28.

Step-by-step explanation:

Starting with:

$\frac{1}{4} + \frac{2}{7} + \frac{1}{2} =$

Begin by finding a common denominator. A number that contains all of the denominators as a factor would be 28. Change each fraction to contain a denominator of 28:

$\frac{7}{28} + \frac{8}{28} + \frac{14}{28} =$