Slope of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (2, -3) and m = 5/8.
Therefore equation of the line is y - (-3) = 5/8(x - 2)
8(y + 3) = 5x - 10
8y + 24 = 5x - 10
8y - 5x = -10 - 24 = -34
5x - 8y = 34
Answer:
b = 55°
c = 35°
Step-by-step explanation:
b° = 180° - (85°+40°) = 180° - 125° = 55°
c° = 180° - (b°+90°) = 180° - (55°+90°) = 180° - 145° = 35°
Answer:
To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.
Begin with the right hand side:
R.H.S = cot θ =
L.H.S = sin θ cos θ
so, sin θ cos θ ≠
So, the equation is not a trigonometric identity.
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<u>Anther solution:</u>
To prove that ( sin θ cos θ = cot θ ) is not a trigonometric identity.
Assume θ with a value and substitute with it.
Let θ = 45°
So, L.H.S = sin θ cos θ = sin 45° cos 45° = (1/√2) * (1/√2) = 1/2
R.H.S = cot θ = cot 45 = 1
So, L.H.S ≠ R.H.S
So, sin θ cos θ = cot θ is not a trigonometric identity.
Sarah has spent 7 first class tickets, and 6 coach tickets that totals for 13 people that took the trip.
$1040 * 7 = $7280
$140 * 6 = $840
$7280 + $840 = $8120 for Sarah's total budget she spent for 7 first class tickets and 6 coach tickets for 13 people that took the trip.
Answer:
7 first class tickets.
6 coach tickets.
Hope this helps!
<em>
</em><em>~ ShadowXReaper069</em>