Given a triangle with a = 9, b = 11, A = 31°, what is (are) the possible length(s) of c? Round your answer to two decimal places
.
A) 16.42 or 2.44
B) 6.61
C) 14.21
D) 16.42 or 3.41
A) 16.42 or 2.44
B) 6.61
C) 14.21
D) 16.42 or 3.41
1 answer:
You can use the Law of Cosines to figure this.
a² = b² +c² -2bc×cos(A)
c² -(2b×cos(A))c +b² -a² = 0
c² -18.8577c +40 = 0 . . . . . . . substituting the given values
Then we can use the quadratic formula to find c.
c = (18.8577 ±√(18.8577² -160))/2
c = (18.8577 ±13.9861)/2 ≈ {2.44, 16.42}
The appropriate choice is ...
A) 16.42 or 2.44
a² = b² +c² -2bc×cos(A)
c² -(2b×cos(A))c +b² -a² = 0
c² -18.8577c +40 = 0 . . . . . . . substituting the given values
Then we can use the quadratic formula to find c.
c = (18.8577 ±√(18.8577² -160))/2
c = (18.8577 ±13.9861)/2 ≈ {2.44, 16.42}
The appropriate choice is ...
A) 16.42 or 2.44
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Answer:
(a)
(b)
(c)
Step-by-step explanation:
The formula for calculating the equation of line in point - slope form is given as :
where m is the slope
Given from the question :
m = - 4
= 2
= 6
Substituting into the formula , we have :
Therefore :
(a) the equation of the line in point - slope form is
(b) to write it in slope - intercept form , we will make y the subject of the formula , which will give :
(c) the equation of line in standard form is ;