Find x and round it to the nearest tenth is necessary, help please and thank you so much
1 answer:
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Answer:
The measure of angle YUV is 40°
Step-by-step explanation:
Consider the diagram of this question is attached below,
Where, Tangent line UV and secant XY intersect outside the circle at U,
Since,
We have,
Since, the measure of intercepted angle outside the circle is half of the difference of measure of intercepted arcs,
Answer:
(-∞, -2) and (2, ∞)
Step-by-step explanation:
ƒ(x) = x³ -12x + 10
f'(x) = 3x² - 12
Set 3x² - 12 = 0
x² - 4 = 0
x² = 4
x = ±2
The points x = -2 and x = + 2 divide the number line into three intervals:
(-∞, -2), (-2, +2), and (+2, ∞).
a. Interval (-∞, -2)
x < -2, so f'(x) > 0 when -∞ < x < -2
The function is increasing in (-∞, -2).
b. Interval (-2, 2)
|x| < 2, so f'(x) <0
The function is decreasing in (-2, 2).
c. Interval (2, ∞)
x > 2, so f'(x) > 0 when 2 < x < ∞
The function is increasing in (2, ∞).
Thus, the function is increasing in the intervals (-∞, -2) and (2, ∞).
