We have two sides and one angle opposite to one of the known sides.
Begin with applying the Law of Sines to find angle A:
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Then, solve for sin A:
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Now, plug in numbers:
sin A = 19 × sin(38) / 10 = 1.17
We know that it does not exist an angle whose sin is bigger than 1, therefore
no triangle is formed.
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h. k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (- 6, - 1), thus
y = a(x + 6)² - 1
To find a substitute one of the roots into the equation
Using (- 3, 0), then
0 = a(- 3 +6)² - 1
0 = 9a - 1 ( add 1 to both sides )
1 = 9a ( divide both sides by 9 )
a = , thus
y = (x + 6)² - 1 ← in vertex form
Expand factor and simplify
y = (x² + 12x + 36) - 1 ← distribute
y = x² + x + 4 - 1
= x² + x + 3 ← in standard form
Answer:
= - 21 + 6x² + 1
Step-by-step explanation:
Differentiate each term using the power rule
(a ) = na
Given
y = - 3 + 2x³ + x , then
= (7 × - 3 ) + (3 × 2)x² + (1 × 1 )
= - 21 + 6x² + 1