20x=53-13
20x=40
20x/20=40/20
x=2
7. y=-3/2x+8 (3rd answer choice)
substitute
-4=-3/2(8)+b
-4=-24/2 +b
-4=-12+b
+12 both sides
8=b
so equation would be...
y=-3/2x+8 (3rd answer choice)
8. y=-5x-17 (2nd answer choice)
substitute
-2=-5(-3)+b
-2=15+b
-15 both sides
-17=b
so the equation would be...
y=-5x-17 (2nd answer choice)
check your work by substituting each (x,y) value into the final equations if you want. hope this helps :))
Too blury,take a good pic
Answers:
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Explanation:
Recall that tangent is the ratio of opposite over adjacent
tan(angle) = opposite/adjacent
So for reference angle G, we say,
tan(G) = JH/GJ = 2/1 = 2
We'll treat tan(H) in a similar fashion, but the opposite and adjacent sides swap roles. That means we'll apply the reciprocal to the result above to get 1/2 for tan(H)
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So we have this interesting property where
tan(G)*tan(H) = 2*(1/2) = 1
In general,
tan(A)*tan(B) = 1 if and only if A+B = 90 degrees
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Side note: The side sqrt(5) isn't used at all.
