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stellarik [79]
1 year ago
13

Does anybody know this? Which of the properties of real numbers is illustrated in the following example.

Mathematics
1 answer:
Elenna [48]1 year ago
6 0

The property of real numbers that was illustrated in the above example is known as the: D. inverse property.

<h3>What is the Inverse Property of Real Numbers?</h3>

The inverse property of real numbers states that if you add the opposite of a number together with that number, the result would be zero.

For example, if "a" represents a number, the opposite of the number "a" is -a.

Applying the inverse property of real numbers, it states that: a + (-a) = a - a = 0. Both numbers will cancel each other to give zero.

In the same vein, as shown in the image given above:

6 is a number

The opposite of 6 is -6.

Applying the inverse property of real numbers, we have:

6 + (-6) = 0.

In conclusion, we can state that given the expression, 6 + (-6) = 0, the property of real numbers that was illustrated in the above example is known as the: D. inverse property.

Learn more about the inverse property on:

brainly.com/question/17407789

#SPJ1

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wel

Answer:

Solution given;

A(x1,y1)=(7,4)

B(x2,y2)=(-8,4)

distance AB=?

we have

d=\sqrt{(x2-x1) ²+(y2-y1) ²}

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2 years ago
Suppose a parabola has an axis of symmetry at x=-5, a maximum height of 9, and passes through the point (-7,1). Write the equati
Nutka1998 [239]

the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

it has a symmetry at x = -5, namely its vertex's x-coordinate is -5.

check the picture below.

so then, we can pretty much tell its vertex is at (-5 , 9), and we also know it passes through (-7, 1)


\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9


\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill

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7x to the 2nd power when x=6
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Your answer would be 252 Hope this helps
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