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ELEN [110]
3 years ago
10

Using the properties of absolute values, simplify the expression x×|x|, if it is known that:

Mathematics
1 answer:
Westkost [7]3 years ago
7 0

Answer:

  • x ≥ 0: x|x| = x²
  • x < 0: x|x| = -x²

Step-by-step explanation:

<u>For x ≥ 0</u>

  |x| = x

so

  x|x| = x(x) = x²

<u>For x < 0</u>

  |x| = -x

so

  x|x| = x(-x) = -x²

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MAXImum [283]

If the point P(x, y) partitions the segment AB in the ratio 1 : 1, then the point P is midpoint of segment AB.

The formula of a midpoint of segment:

A(x_A;\ y_A),\ B(x_B,\ y_B)\\\\P_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)

We have:

A(13,\ 1)\to x_A=13,\ y_A=1\\B(-5,\ -3)\to x_B=-5,\ y_B-3\\\\P\left(\dfrac{13+(-5)}{2};\ \dfrac{1+(-3)}{2}\right)\to P\left(\dfrac{8}{2};\ \dfrac{-2}{2}\right)\to P(4,\ -1)

Answer: C. (4, -1)

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3 years ago
X=-2y+16<br> 4x+8y=32<br> substitutional equation
Dahasolnce [82]
4(-2y + 16) + 8y = 32
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Answer: no solution
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2 years ago
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ArbitrLikvidat [17]
It’s b :) haha i got it right
4 0
2 years ago
A number to the 10th power divided by the same number to the 7th power equals 125. What is the number?
sergeinik [125]

Answer:

24

Step-by-step explanation:

7 times 7 is 24

4 0
2 years ago
May someone please help me with 1-5? I have been stuck on this for a while now.​
AleksAgata [21]

Answer:

1 and 2 are correct!! Good Job!!

3. on the number line put a solid dot over 0, the line should to the right.

4. on the number line put a solid dot over -4, the line will go to the left.

5. on the number line put a open dot over 1.5, the line will go to the left.

Step-by-step explanation:

I hope this helps!! Also, you did great on 1 and 2, got this!!

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