Answer:
The time now is 7 pm
Step-by-step explanation:
Suppose that now is the time T.
We know that:
"if time is four hours from now, the time left till midnight would be a quarter that if it is one hour from now".
Then:
if we define midnight as 12, and we assume that T is in the pm range.
Then the "time left till midnigth, assuming that the time is four hours from now" will be written as (12 - (T + 4))
With this in mind, we can write the problem as:
12 - (T + 4) = (1/4)*( 12 - (T + 1))
Now we can solve this for T.
12 - T - 4 = (1/4)*(12 - T - 1)
8 - T = (1/4)*(11 - T)
4*(8 - T) = 11 - T
32 - 4*T = 11 - T
32 - 11 = -T + 4*T
21 = 3*T
21/3 = T
7 = T
Then T = 7 pm
The time now is 7 pm
This would be modeled by a translation 1 unit down and a 270° clockwise rotation.
Each of these points has the x and y values switched, with the y value one less than that of the preimage and negated. Taking one off the y-value is a translation 1 down; negating the y and switching it and x is a 270° clockwise rotation.
Answer:
a horizontal translation by 3 units left
Step-by-step explanation:
f(x)= |x|
we are given with absolute function f(x)
g(x) = |x+3|
To get g(x) from f(x) , 3 is added with x
If any number is added with x then the graph of the function move to the left
Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)
So there will be a horizontal translation by 3 units
Answer: a^2+b^2=c^2
Step-by-step explanation: (18^2=14^2+c^2)=324=196+c^2
324-196=128 and the square root of 128 is 8 radical 2 or in decimal form 11.31
