Answer: y = 2 (x minus one-half) squared minus StartFraction 27 Over 2 EndFraction
or
Step-by-step explanation:
Vertex form of equation : where (h, k) is the vertex of the parabola.
Hence, the vertex form of the equation is
In △ABC, m∠ABC=40°,
1 answer:
Let m∠CLN = x. Then m∠ALM = 3x, and m∠A = 90°-x, m∠C = 90°-3x.
The sum of angles of ∆ABC is 180°, so we have
... 180° = 40° + m∠A + m∠C
Using the above expressions for m∠A and m∠C, we can write ...
... 180° = 40° + (90° -x) + (90° -3x)
... 4x = 40° . . . . . . . . . add 4x-180°
... x = 10°
From which we conclude ...
... m∠C = 90°-3x = 90° - 3·10° = 60°
The ratio of CN to CL is
... CN/CL = cos(∠C) = cos(60°)
... CN/CL = 1/2
so ...
... CN = (1/2)CL
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Answer:
208,606,320
Step-by-step explanation:
A jury pool consists of 27 people. 11 people be chosen to serve on a jury and one additional person be chosen to serve as the jury foreman
Total of 27 people. 11 people can be selected from 27 people in 27C11 ways
one additional person be chosen to serve as the jury foreman
after selecting 11 people , remaining is 27 - 11= 16 people
Now 1 is selected from 16 in 16 ways
Number of different ways =