Choose all of the points that are reflections of each other across both axes. (1.5,−2) ( 1 . 5 , - 2 ) and (−112,2) ( - 1 1 2 , 2 ) (4.5,−2) ( 4 . 5 , - 2 ) and (5.4,−2) ( 5 . 4 , - 2 ) (−112,3) ( - 1 1 2 , 3 ) and (−3,112) ( - 3 , 1 1 2 ) (1.75,−4) ( 1 . 75 , - 4 ) and (−134,4) ( - 1 3 4 , 4 )

Answers

Answer 1

Answer:

The points which are reflections across both axis are;

1) (1.5, -2) and  [tex]\left (-1\dfrac{1}{2} , \ 2\right )[/tex]

2) (1.75, -4) and [tex]\left (-1\dfrac{3}{4} , \ 4\right )[/tex]

Step-by-step explanation:

The coordinate of the image of a point after a reflection across the 'x' and 'y' axis are given as follows;

[tex]\begin{array}{ccc}& Preimage&Image\\Reflection \ about \ the \ x-axis&(x, \ y)&(x, \, -y)\\Reflection \ about \ the \ y-axis&(x, \ y)&(-x, \, y)\end{array}[/tex]

Therefore, a reflection across both axis changes (only) the 'x' and 'y' value signs

The given points which are reflections across both axis are;

(1.5, -2) and  [tex]\left (-1\dfrac{1}{2} , \ 2\right )[/tex]

We note that [tex]\left (-1\dfrac{1}{2} , \ 2\right )[/tex] = (-1.5, 2)

The reflection of (1.5, -2) across the x-axis gives the image (1.5, 2)

The reflection of the image (1.5, 2) across the y-axis gives the image (-1.5, 2)

Similarly, we have;

(1.75, -4) and [tex]\left (-1\dfrac{3}{4} , \ 4\right )[/tex]

We note that [tex]\left (-1\dfrac{3}{4} , \ 4\right )[/tex] = (-1.75, 4)

The reflection of (1.75, -4) across the x-axis gives the image (1.75, 4)

The reflection of the image (1.75, 4) across the y-axis gives the image (-1.75, 4).

The other points have changes in the values of the 'x' and 'y' between the given pair and are therefore not reflections across both axis


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This is often called scaling in math, used in ratios, fraction, percent's etc.

Step-by-step explanation:

Answer:

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The Consumer Reports National Research Center conducted a telephone survey of 2000 adults to learn about the major economic concerns for the future (Consumer Reports, January 2009). The survey results showed that 1760 of the respondents think the future health of Social Security is a major economic concern. a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern (to 2 decimals)

Answers

Answer:

The point estimate is 0.88

Step-by-step explanation:

Given

[tex]n = 2000[/tex] -- sample size

[tex]x = 1760[/tex] -- adults who think future health of social security is a major economic concerm

Required

Determine the point estimate

This is calculated as:

[tex]\hat p= \frac{x}{n}[/tex]

[tex]\hat p= \frac{1760}{2000}[/tex]

[tex]\hat p = 0.88[/tex]

The point estimate is 0.88

What is the measure of the angle at the tail end of the kite? if the top area is where its pointed is 122?

Answers

Answer:

The angle is 58 degrees

Step-by-step explanation:

Given

See attachment for kite

Required

The angle at the tail end

Represent this angle with x.

From the attached kite, we have:

1 angle = 122

2 angles = right-angled

So, we have:

[tex]x + 122 +90+90 = 360[/tex] --- sum of angles in a kite

[tex]x + 302 = 360[/tex]

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Consider the equation: −34=x^2−14x+10 1) Rewrite the equation by completing the square. 2) What are the solutions to the equation?

Answers

Answer:

1) x^2 - 14x + 44 = 0

(x^2 - 14x + 49) - 5 = 0

(x-7)^2 - 5 = 0

2)Assuming no complex number x...

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x= 12, x=2

==============

Please give brainliest, I really want to rank up, thank you!

The answers to both the subparts of the equations are shown:

(A) Re-written equation by completing the square: (x-7)² - 5 = 0(B) Solutions of the equation: x = 12, x = 2

What are equations?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

So, the equation is:

−34 = x² −14x+10

(A) Rewrite the equation by completing the square:

−34 = x² −14x+10x² - 14x + 44 = 0(x² - 14x + 49) - 5 = 0(x-7)² - 5 = 0

(B) The solutions of the equation:

(x-7)² = 5x-7 = 5x-7 = -5x= 12, x=2

Therefore, the answers to both the subparts of the equations are shown:

(A) Re-written equation by completing the square: (x-7)² - 5 = 0(B) Solutions of the equation: x = 12, x = 2

Know more about equations here:

https://brainly.com/question/28937794

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

The area of the larger square is 625 u². We know that area of square is the square of side. So ,

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Similarly finding the side of second square as ,

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Step-by-step explanation:

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