Pythagorus Theorm
a sqr + b sqr = c sqr
25 sqr + 7 sqr = c sqr
625 + 49 = c sqr
625 + 49 = 674
c = sqr root of 674
c = 25.96 (rounded to 2dp)
We will use the equation:
r t = 3/4 r ( t+12 ) /:r
t = 3/4 t + 9
t - 3/4 t = 9
1/4 t = 9
t = 9 * 4 = 36 minutes ( takes a trip to the market )
36 + 12 = 48 minutes
The ride home takes 48 minutes.
Answer:
256
Step-by-step explanation:
<h3>
Answer: Choice D) y = cos(2x)</h3>
Explanation:
Normally, cosine has a period of 2pi. This means that the curve repeats itself every 2pi units. However, this graph has a period of pi.
We can see this by noting that the distance from one peak such as x = 0 to another adjacent peak x = pi is exactly pi units across.
Since T = pi is the period, we then know that
B = (2pi)/T
B = (2pi)/(pi)
B = 2
Then recall that the general template is y = Acos(B(x-C))+D
In this case, A = 1, C = 0 and D = 0. So all of this leads to y = cos(2x)
Answer:
D. g(x) = (x + 2)^2 + 3(x + 2) + 2
Step-by-step explanation:
To shift the function to the left by 2 units, x is replaced by x - (-2) = x+2. Then you have ...
... f(x+2) = g(x) = (x+2)² +3(x+2) +2 . . . . matches selection D
