Answer: 26
Step-by-step explanation:
Answer:
Part 1: Write mathematical equations of sinusoids.
1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.
a) What is the phase shift, c, of this curve? (2 points)
b) What is the vertical shift, d, of this curve? (2 points)
c) What is the amplitude, a, of this curve? (2 points)
d) What is the period and the frequency factor, b, of this curve? (2 points
e) Write an equation using the cosine function that models this data set. (5 points)
2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to
model the curve using the sine function
Step-by-step explanation:
<em> </em><em>p</em><em>l</em><em>z</em><em> </em><em>f</em><em>o</em><em>l</em><em>o</em><em>w</em><em> </em><em>m</em><em>e</em>
Answer:
Step-by-step explanation:
B(2,10); D(6,2)
Midpoint(x1+x2/2, y1+y2/2) = M ( 2+6/2, 10+2/2) = M(8/2, 12/2) = M(4,6)
Rhombus all sides are equal.
AB = BC = CD =AD
distance = √(x2-x1)² + (y2- y1)²
As A lies on x-axis, it y-co ordinate = 0; Let its x-co ordinate be x
A(X,0)
AB = AD
√(2-x)² + (10-0)² = √(6-x)² + (2-0)²
√(2-x)² + (10)² = √(6-x)² + (2)²
√x² -4x +4 + 100 = √x²-12x+36 + 4
√x² -4x + 104 = √x²-12x+40
square both sides,
x² -4x + 104 = x²-12x+40
x² -4x - x²+ 12x = 40 - 104
8x = -64
x = -64/8
x = -8
A(-8,0)
Let C(a,b)
M is AC midpoint
(-8+a/2, 0 + b/2) = M(4,6)
(-8+a/2, b/2) = M(4,6)
Comparing;
-8+a/2 = 4 ; b/2 = 6
-8+a = 4*2 ; b = 6*2
-8+a = 8 ; b = 12
a = 8 +8
a = 16
Hence, C(16,12)
Answer:
Subtract 2x to bring it to the other side
Step-by-step explanation:
2x+5y=20
-2x. -2x
5y=-2x+20
