Answer:
Step-by-step explanation:
The general equation of a circle is , x² + y² + 2gx + 2fy + c = 0
Substituting the three points we get the following equations,
2g +14f +c=-50
14g - 2f + c =-50
16g +12f + c = -100
Solving these equations we get,
g =-4, f = -3, c = 0
Hence general equation of circle is,
x² + y² - 8x - 6y = 0
Answer:
<h2>3x + 6y = 0</h2>
Step-by-step explanation:
Equation of a line = y = mx + c
where m = slope
m = (1 - 4) / (-2 - (-8))
<h3>m = -3 / 6</h3>
y - 1 = -3/6 (x + 2)
6y - 6 = -3x - 6
3x + 6y = 0
Answer:
Step-by-step explanation:
a) In 1.2 seconds, sound will travel a distance of ...
(1.2 s)(340 m/s) = 408 m
This is the round-trip distance, so the reflecting surface is half that distance away.
The other side of the canyon is 204 m away.
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b) In 5 seconds, the sound will travel a distance of ...
(5 s)(340 m/s) = 1700 m
This is the one-way distance, so the lightning is about 1700 m away.
Answer:
Step-by-step explanation:
The null and the alternative hypothesis is:
The t- student test statistics can be computed as:
t = -2.017
degree of freedom = (n₁ - 1) + (n₂ - 1)
= (100 - 1) + (130 - 1)
= 228
Using the data of t-value and degree of freedom;
The P-value = -0.224
Decision rule: Do not reject the null hypothesis if the p-value is greater than ∝(0.01)
Conclusion: We reject the null hypothesis since the p-value is less than ∝.
Therefore, there is enough evidence to conclude that the mean age of entering prostitution in Canada is lower than that of the United States.
