f(x) = 2x^2 - x - 10
Part A:
x-intercepts: (-2,0), (5/2,0)
Part B:
The vertex is the minimum
vertex: (1/4, -81/8)
Part C:
A:
x: -2, -1, 1/4, 1, 2
y: 0, -7, -81/8, -9, -4
B:
Line CA is a straight line, meaning it adds up to 180°
Line BE splits the line into two supplementary angles, because when the two angles are added together they will equal 180°
Using the rule of supplementary angles, we can then make the equation 3x + 8x + 15 = 180
Now, simplify the equation by combining like terms
11x + 15 = 180
To solve, isolate x
11x + 15 = 180
11x = 165
x = 15
<span>circumference of circle = 2*pi*r
given r = 5
so circumference = 31.42
now we know 360 degree is uniformly distributed on this circumference
so x/360=10/31.42
so x= 114.65
so option C.) 114.65 is the answer</span>
The term in the expansion:
T ( k+1) = n C k * A^(n-k) * B^k.
In this case: n = 11, k + 1 = 8, so k = 7.
A = x, B = - 3 y
T 8 = 11 C 7 * x^(11-7) * ( - 3 y )^7 =
=( 11 *10 * 9 * 8 * 7 * 6 * 5 ) / ( 7 * 6 * 5 * 4 * 3 * 2 * 1 )* x^4 * ( - 2,187 y^7 ) =
= 330 * ( - 2,187 ) x^4 y^7 = - 721,710 x^4 y^7
Answer: The 8th term in expansion is
Sine, Cosine, Tangent, Cosecant (opposite of Sine), Secant (opposite of Cosine), and Cotangent (opposite of Tangent)