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1 answer:
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Answer: y=-3x+29
Step-by-step explanation:
First put in y-intercept form to find the slope
Slope of the 1st equation is 1/3- the slope of the line perpendicular is the opposite reciprocal, so in the case it is -3
Use the point and the new slope to write the new equation in point slope format
In terms of the trigonometric ratios for ΔABD, what is the length of line segment BD?
Answer:
Step-by-step explanation:
∆ABD is a right triangle.
Recall: trigonometric ratios of any right triangle can easily be understood or remembered with the acronym, SOHCAHTOA.
SOH => sin(θ) = opposite/hypotenuse
CAH => Cos(θ) = adjacent/hypotenuse
TOA = tan(θ) = opposite/adjacent
Thus, the length of segment BD, in terms of trigonometric ratios for ∆ABD can be done as follows:
Let BD = x
AB = c
AD = b
=>The sine ratio for the length of line segment BD = x, using SOH.
θ = A
Opposite = DB = x
hypotenuse = AB = c
Make x the subject of formula.
=>The Cosine ratio for the length of line segment BD = x, using CAH
θ = B
Adjacent = DB = x
hypotenuse = AB = c
Make x the subject of formula.
=>The Tangent ratio for the length of line segment BD = x, using TOA
θ = A
Adjacent = DB = x
hypotenuse = AD = b
Make x the subject of formula.