The answer is 9x^3-6x^2+3x
Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x + 5y = 10 into this form
Subtract x from both sides
5y = - x + 10 ( divide all terms by 5 )
y = -
x +2 ← in slope- intercept form
with slope m = - 
• Parallel lines have equal slopes, hence
y = -
x + c ← is the partial equation of the parallel line
To find c substitute (1, 3) into the partial equation
3 = -
+ c ⇒ c = 
y = -
x +
← equation of parallel line
The first one is 22 the second one is 16 the third one is 18