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Masja [62]
1 year ago
12

What is the equation of the line that is used to show the reflection of a relation and its inverse?

Mathematics
1 answer:
Artyom0805 [142]1 year ago
5 0

The graph and inverse of a function are reflections of each other along the line y = x.

A relation made up of ordered pairs (x, y) has as its inverse the set of all ordered pairs (y, x).

When a point is mirrored over the line y = x, the x- and y-coordinates swap places. Similarly, when a point is mirrored over the line y = -x, the x- and y-coordinates swap places and become negated.

Therefore,

The point (x, y)'s reflection over the line y = x is (y, x).

The point (x, y)'s reflection over the line y = - x is (-y, -x).

Thus, the graph and inverse of a function are reflections of each other along the line y = x.

Learn more about reflections for inverse of a function at

brainly.com/question/14544356

#SPJ4

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Lauren says that -3.5 is greater than -3 1/3. Do you agree? Explain.
kirza4 [7]

Answer:

-3\frac{1}{2}

Step-by-step explanation:

-3.5 means -(3 + \frac{1}{2})

In other words, -3.5 = -3\frac{1}{2}

When we draw two numbers -3\frac{1}{3} and -3\frac{1}{2} on a number line, -3\frac{1}{2} comes first from left to right.

We know that all the numbers on a number line from left to right are in increasing order.

Therefore, -3\frac{1}{2} is smaller than -3\frac{1}{3}.

-3\frac{1}{2}

Lauren is not correct.

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3 years ago
Simplify <br><br> 3a^2b^3c^5<br> __________________<br><br> 8x^4y^3z
Jobisdone [24]
We have to rewrite the expression so that it has no denominator.
For example:
1 / x = x^(-1)
1/8 = 8^(-1); 1/x^(4) = x^(-4); 1/y^(3) = y^(-3); 1/z = z^(-1).
\frac{3a ^{2} b ^{3}c ^{5}  }{8 x^{4}y ^{3}z  }= \\ =3 a^{2}b ^{3}c^{5}8^{-1}x ^{-4}y^{-3}z^{-1}
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3 years ago
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Can someone please help me on this problem
Dafna1 [17]

Answer:

Step-by-step explanation:

Perimeter is all sides added together.

l is length, w is width, and P is perimeter.

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5 0
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45% of the population of a city are men
leonid [27]

Answer:

\boxed{\textsf{ The number of children is \textbf{24150}.}}

Step-by-step explanation:

Given that the 45% of the population of a city are men and 15% are children . The number of women is 64,400 . And we need to find the number of children . Here ,

\sf\implies Percentage_{(men)}= 45/% .\\\\\sf\implies Percentage_{(children)}= 15\% .

So the percentage of women will be equal to [ 100 - ( 45 -15) ]% = [ 100 - 60 ]% = 40% .

So let us take the total number of people be x . So ,

\purple{\bigstar}\underline{\underline{\boldsymbol{ According\ to \ Question :- }}}

\sf\implies 40\% \ of \ x \ = \ 64,400 \\\\\sf\implies \dfrac{40x}{100}= 64,400 \\\\\sf\implies x =\dfrac{64,400\times 100}{40}\\\\\sf\implies \boxed{\pink{\sf x = 161,000 }}

\rule{200}2

<u>The </u><u>percentage</u><u> of</u><u> </u><u>children </u><u>=</u><u> </u><u>1</u><u>5</u><u>%</u><u> </u><u>:</u><u>-</u>

\sf\implies Number_{(children)}= 15\% \ of 161,000\\\\\sf\implies Number_{(children)}= \dfrac{15}{100}\times 161,000 \\\\\sf\implies \boxed{\pink{\frak {Number_{(children)}= 24150 }}}

5 0
3 years ago
Line RS bisects PQ at point R, Find RQ if PQ = 14 cm
Dovator [93]
If PQ is 14, each segment, PR and RQ will be 7.
14 = PR + 7.
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