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nadezda [96]
3 years ago
5

|2x+3|-8= -3 EXPLAIN why this equation has 2 solutions instead of no solution.

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
5 0

Answer:

This has 2 solutions

Step-by-step explanation:

This question has 2 solutions because the answers can be x=1 and x=-4 because 5-8=-3 and you can get 5 with a absolute value and 5-8=-3

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What set of reflections would carry rectangle ABCD onto itself?
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Answer: option <span>D) y=x, x-axis, y=x, y-axis</span>.

I first thought it was the option C) and I tried with it but it was wrong. This is how I dit it.

Option C step by step:

<span>1) Reflection over the x - axis => point with coordinates (a,b) is transformed into point with coordinates (a, -b)

2) Reflection over the line y = x  => point with coordinates (a, -b) is transformed into point with coordinates (-b,a)

3) New feflection over the x - axis => (-b,a) transforms into (-b, -a)

4) New reflection over the line y = x => (-b,-a) transforms into (-a,-b)

Which shows it is not the option C).

Then I probed with option D. Step by step:

1) Reflection over the line y = x => (a,b) → (b,a)

2) Reflection over the x-axis => (b,a) → (b,-a)

3) Reflection over the line y = x => (b,-a) → (-a,b)

4) Reflection over the y-axis => (-a,b) → (a,b).

So, this set of reflections, given by the option D) transforms any point into itself, which proofs that the option D) is the right answer.
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3 years ago
What is one hundred twenty three times three
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Step-by-step explanation:

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3 years ago
Rearrange the equation so x is the independent variable. y+6=5(x-4)
soldier1979 [14.2K]

Answer:

x = (y + 26)/5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

y + 6 = 5(x - 4)

Step 2: Distribute

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Step 3: Isolate <em>x</em>

y + 26 = 5x

Step 4: Isolate variable <em>x</em>

(y + 26)/5 = x

Step 5: Rewrite

x = (y + 26)/5

7 0
3 years ago
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