The answer be negative 158 or -158
Answer:
Q13. y = sin(2x – π/2); y = - 2cos2x
Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1
Step-by-step explanation:
Question 13
(A) Sine function
y = a sin[b(x - h)] + k
y = a sin(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Phase shift = π/2.
2h =π/2
h = π/4
The equation is
y = sin[2(x – π/4)} or
y = sin(2x – π/2)
B. Cosine function
y = a cos[b(x - h)] + k
y = a cos(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Reflected across x-axis, y ⟶ -y
The equation is y = - 2cos2x
Question 14
(A) Sine function
(1) Amp = 2; a = 2
(2) Shifted down 1; k = -1
(3) Per = π; b = 2
(4) Phase shift = 0; h = 0
The equation is y = 2sin2x -1
(B) Cosine function
a = 2, b = -1; b = 2
Phase shift = π/2; h = π/4
The equation is
y = -2cos[2(x – π/4)] – 1 or
y = -2cos(2x – π/2) - 1
Just do 12 times 2 d=24 because 24 divided by 12 =2
Answer:
The actual distance between the two rivers is <u>232.5 kilometers</u>.
Step-by-step explanation:
GIven:
The scale on a map is 2 centimeters= 50 kilometres.Two rivers on a map are located 9.3 centimeters apart.
Now, to find the actual distance between the two rivers.
Let the actual distance between the two rivers is 
The two rivers on the map is located apart of 9.3 centimeters.
According to the scale on the map is 2 centimeters = 50 kilometers.
<em>So, 2 centimeters is equivalent to 50 kilometers.</em>
<em>Thus, 9.3 centimeters is equivalent to </em><em />
Now, to solve by using cross multiplication method:
<em>By cross multiplying we get:</em>
<em />
<em />
<em>Dividing both sides by 2 we get:</em>
Therefore, the actual distance between the two rivers is 232.5 kilometers.
1/5 of the price of the box of pizzas is about $4.85, and 1/5 of the tax is about $0.24. Marcy's guess that a pizza costs $8.47 is <em>not reasonable</em>. The cost is closer to $5.10.
