Answer:
Step-by-step explanation:
We are given the following recursive formula:
And consider 
a2
a3
a4
Answer:
Quadrilateral ABCD is not a square. The product of slopes of its diagonals is not -1.
Step-by-step explanation:
Point A is (-4,6)
Point B is (-12,-12)
Point C is (6,-18)
Point D is (13,-1)
Given that the diagonals of a square are perpendicular to each other;
We know that the product of slopes of two perpendicular lines is -1.
So, slope(m) of AC × slope(m) of BD should be equal to -1.
Slope of AC = (Change in y-axis) ÷ (Change in x-axis) = (-18 - 6) ÷ (6 - -4) = -24/10 = -2.4
Slope of BD = (Change in y-axis) ÷ (Change in x-axis) = (-1 - -12) ÷ (13 - -12) = 11/25 = 0.44
The product of slope of AC and slope of BD = -2.4 × 0.44 = -1.056
Since the product of slope of AC and slope of BD is not -1 hence AC is not perpendicular to BD thus quadrilateral ABCD is not a square.
Answer:
Step-by-step explanation:
Let the cost of one soft taco = s
Let the cost of one burrito = b
So we have this system
3s + 3b = 11.25
4s + 2b = 10.00 (1)
Divide the first equation through by 3 and we have that
s + b = 3.75 subtract b from both sides
s = 3.75 - b (2)
Sub (2) into (1) and we have
4 (3.75 - b) + 2b = 10.00 simplify
15 - 4b + 2b = 10.00
-2b + 15 =10.00 subtract 15 from both sides
-2b = - 5.00 divide both sides by -2
b = 2.50
And using (2)
s = 3.75 - 2.50 = 1.50
So... a soft taco 1.50 and a burrito is 2.50
Answer:
The correct option is;
d(t) = 6·cos(π/3·t) + 28
Step-by-step explanation:
The general form of a cosine function is given as follows;
y = A·cos(B·x - C) + D
Where;
A = The amplitude = The distance from the peak to the midline = 1/2×(Maximum - minimum)
The amplitude = 1/2 × (34 - 22) = 6 inches
B = 2·π/P = 2·π/6 = π/3
P = The period = 6 seconds
C/B = The phase shift
D = The midline = Minimum + Amplitude = 22 + 6 = 28 inches
x = The independent variable
Therefore, to model the function of the wave can be given as follows;
d(t) = 6·cos(π/3·t) + 28
