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aniked [119]
3 years ago
10

the coordinate plate shows the location of vijays house. the location of huang's house is a reflection of the location of vijays

house across oak street. write the coordinates that represents the location of huang's house

Mathematics
1 answer:
harina [27]3 years ago
4 0

Answer:

The location of Huang's house is (5,2)

Step-by-step explanation

We can see in the picture that

Elm street can be defines as x-axis

Oak street cab be defines as y-axis

A reflection can be defined as flipping an object over the line of reflection. The original object is called pre-image, and the newly formed reflection is called image. Both the object and reflection have the same size and shape, and same distance from the line of reflection.

E.g when reflecting an object across x-axis , the x-coordinate of the object remains the same in the reflection, but the sign of y-coordinate is changed.

Similarly, when reflecting an object across y-axis, y-coordinate of the object remains the same in reflection, but the sign of x-coordinate is changes.

In the question, the location of Vijay's house is given by coordinates (-5,2)

As we can consider Oak street as y-axis, and we have to reflect the house across Oak street, then the reflection will have same y-coordinates, but the sign of x coordinate will change.

Which means the location of Huang's house is (5,2)

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Answer:

D. 68%

Step-by-step explanation:

The following statistics are given;

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n = 625 ; the sample size

The confidence interval for a population mean is given as;

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Substituting the above values we have;

47 ± z-score*\frac{5}{\sqrt{625} }

47 ± z-score*0.2

The confidence interval has been given as;

lower limit = 46.8%

upper limit = 47.2%

We can use any of these two values with the above expression to solve for the z-score. Using the lower limit we have the following equation;

47 - z-score*0.2 = 46.8

-z-score*0.2 = 46.8 - 47

-z-score*0.2 = -0.2

z-score = 1

The area of the standard normal curve between -1 and +1 will be the confidence level for the given confidence interval.

Pr( -1<Z<1 ) = 0.68 = 68%

From the Empirical rule

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4 years ago
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Lostsunrise [7]

Answer: The answer is C

Step-by-step explanation:

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Hey can someone help me with this?? Im very confused and need this explained to me! Thank you so much!!
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Answer:

( C ) ΔMLN ≅ΔTSR

Step-by-step explanation:

Okay I got you!

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In circle P, PA¯¯¯¯¯PA¯ is a radius and AB¯¯¯¯¯AB¯ is a tangent segment. Which statement must be true?
OleMash [197]

It is given in the question that, PA is a radius and AB is the tangent segment .

And in a circle, radius and tangent are always perpendicular, it means they form 90 degree with each other . Or angle PAB is a right angle .

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8 0
3 years ago
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Log5 (x squared - 9) = 0
andreev551 [17]

Answer:

x=3,\:x=-3

Step-by-step explanation:

Given the equation

\log _{10}\left(5\right)\left(x^2-9\right)=0

Divide both sides by \log _{10}\left(5\right)

\frac{\log _{10}\left(5\right)\left(x^2-9\right)}{\log _{10}\left(5\right)}=\frac{0}{\log _{10}\left(5\right)}

Simplify

x^2-9=0

Add 9 to both sides

x^2-9+9=0+9

Simplifying

x^2=9

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{9},\:x=-\sqrt{9}

as

\sqrt{9}\:=3

-\sqrt{9}=-3

Therefore,

x=3,\:x=-3

3 0
3 years ago
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