Hey there!
To solve the first problem, I've found it easiest to solve the equation for, say, values –2 through +2 and create a table of values for you to begin graphing this function. You may need to do more depending on the equation itself.
Some points are: (–2, 0.75), (–1, 1.5), (0, 3), (1, 6) and (2, 12). You can check which graph matches up with these points the closest to get your answer of D.
To solve the second problem, you'll need to use the distance equation.
x1 = –4, y1 = 3
x2 = –1, y2 = 1
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√ (x2–x1)^2 + (y2–y1)^2
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√ (–1–(–4)^2 + (1–3)^2
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√ (–1+4)^2 + (–2)^2
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√ (3)^2 + (–2)^2
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√ 9 + 4
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√ 13, making your answer D
For your third question, I always just counted the number of units the point was from the line of reflection. You'll count twice diagonally towards the line from point C for this one, staying on the "crosshairs" of the graph. All you need to do then is count two diagonal units along the same line, then you'll get your answer of (2, 6), or D.
For your final question, A and B are immediately out, since they won't be parallel to the 4x equation. You'll need to solve both of your remaining equations for y with 2 plugged in for x; whichever one equals 7 will be your answer. In this case, it will be D.
Hope this helped you out! :-)
If it decreases at 4% every year, then its value becomes:
100% - 4% = 96% = 96/100 = 0.96
At the end of the 1 year its value becomes: 150*(0.96)
At the end of the 2 years its value becomes: 150*(0.96)*(0.96) = 150*(0.96)²
At the end of the 3 years its value becomes: 150*(0.96)*(0.96)*(0.96) = 150(0.96)³
So similarly at the end of 12 years, its value becomes 150*(0.96)¹²
=50*(0.96)¹² simplify with calculator.
<span>≈ 91.91
Value at the end of 12 years becomes ≈ $</span><span>91.91
I hope this helps.
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You could add the two x-coordinates together (in this case, 0 and 20) and then divide them by 2 to get an x-coordinate of 10 for their midpoint.
Answer:
1 ft. by 1 ft. by 1 ft.
1 mm by 1 mm by 1 mm
Step-by-step explanation:
it's a cube, all sides are the same :)
