Two boats travel at the same speed to different destinations. Boat A reaches its destination in 12 minutes. Boat
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Answer:
( x-6)^2 -17
Step-by-step explanation:
X^2 - 12x + 19
we need it in given below form
(x + a)^2 + b
we know that
lets convert that in same form
X^2 - 12x + 19 = x^2 + 2(-6)x + 19
comparing x^2 + 2(-6)x to x^2 + 2ax
we have a -6
now
(x-6)^2 = x^2 + 2(-6)x + 36
36 is missing in the x^2 + 2(-6)x + 19 hence to get that
we add and subtract 36 in the above equation
so we have
x^2 + 2(-6)x + 19 + 36 -36
rearranging it \
(x^2 + 2(-6)x + 36) -36 + 19 (x^2 + 2(-6)x + 36 =( x-6)^2)
=>( x-6)^2 -17
comparing the above equation to
(x + a)^2 + b
we have a = -6
b = -17
( x-6)^2 -17
In all right triangles, the ratio between a leg and the hypothenuse is the sine of the angle opposite to the leg.
So, in your case, we have
In order to find XY, we have
So, the ratio for the sine is