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Archy [21]
4 years ago
12

Algebraically determine if the relation x = y2 – 100 is symmetrical with respect to the x-axis, y-axis, or the origin.

Mathematics
1 answer:
yKpoI14uk [10]4 years ago
4 0

Answer: Option D: x-axis symmetry

Step-by-step explanation:

The symmetry concept can be explained as below:

  1. If any point say, (x,y) on the graph, then (x,-y) is also on the graph, it shows x- axis symmetry.
  2. If any point say, (x,y) lies on the graph, then, (-x,y) should also lie on the same graph, then is shows y-axis symmetry.  

Now, here the graph is for x = y^{2}-100  is attached.

Suppose, (x,y) = (-100,0)

then, solving this point satisfies the equation of given graph.

Also, (x,-y) = (-100,0) satisfies the equation of the given graph.

Hence, the relation x = y^2 – 100 is symmetrical to x-axis.

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8 0
3 years ago
You have 20 bucks in your pocket.
diamong [38]

Answer:

the answer would be $45.55

<3

Step-by-step explanation:

20$ + $50.00 = $70

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$64.5 - $9.95 = $54.55

$54.55 - $20 = $34.55

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5 0
3 years ago
Twenty-five percent of 200 is what number? O 8 O 20 0 50 0 100​
Yakvenalex [24]

Answer:

50

Step-by-step explanation:

.25 goes into 100 4 times, 50 goes into 200 4 times :)

3 0
3 years ago
Read 2 more answers
1) -24, -4, 16, 36, ...<br> Find a23
viktelen [127]

We're given the Arithmetic Progression <em>-24, -4, 16, 36 ...</em> .

We know that a term in an AP is generally represented as:

\bf a_n\ =\ a\ +\ (n\ -\ 1)d

where,

  • a = the first term in the sequence
  • n = the number of the term/number of terms
  • d = difference between two terms

We need to find \sf a_2_3.

From the given progression, we have:

  • a = -24
  • n = 23
  • d = (-24 - (-4) = -20

Using these in the formula,

\sf a_2_3\ =\ a\ +\ (n\ -\ 1)d\\\\\\a_2_3\ =\ -24\ +\ (23\ -\ 1)\ \times\ (-20)\\\\\\a_2_3\ =\ -24\ +\ 22\ \times (-20)\\\\\\a_2_3\ =\ -24\ -\ 440\\\\\\\bf a_2_3\ =\ -464

Therefore, the 23rd term in the AP is -464.

Hope it helps. :)

7 0
3 years ago
Anyone help me please Thank you
Olin [163]
I have to say the answer is C
4 0
3 years ago
Read 2 more answers
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