Answers:
- Translation 3 units up
- k = 3
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Explanation:
The y intercept of the black f(x) curve is at (0,1)
The y intercept of the blue curve is at (0,4)
To go from y = 1 to y = 4, we add 3
So we shift 3 units up to go from the f(x) curve to the g(x) curve.
The value of k is 3, which corresponds exactly to the vertical shift. If we shifted down, then k would be negative.
I think it's 64. Not positive, but pretty sure it is.
Answer:
m < amc = 54°
Step-by-step explanation:
< amb and < bmc are complementary angles whose sum equals 90°.
Therefore, to find the value of 2x°, we must first solve for x.
We can establish the following equality statement:
< amb + < bmc = < amc
< 2x° + (x + 9)° = 90°
Combine like terms:
2x° + x° + 9° = 90°
3x° + 9° = 90°
Subtract 9 from both sides:
3x° + 9° - 9° = 90° - 9°
3x = 81°
Divide both sides by 3 to solve for x:
3x/3 = 81°/3
x = 27°.
Since x = 27°, substitute its value into 2x° to find m < amc:
2x° = 2(27°) = 54°
Therefore, m < amc = 54°
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The apothem of this is 13
The radius of the circle is 3
