Wrote an equation in slope intercept form of a line tbag passes through (5,-2) and is parallel to the graph of y=-3x-7
1 answer:
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(a) identify the unknown quantities and introduce variables to represent them
Answer:
Distance traveled by Amelia upstream is 12 km. Let us call it x.
So that x = 12 km
Distance traveled downstream is unknown. But by reading and understanding the question, one can tell that the distance covered on trip downstream must be the same as distance traveled while going upstream.
Let us call it y.
So that y = x = 12 km
y = 12 km
Speed of Amelia while swimming = s
Speed of the current in the river = c
(b) write equations which express the information given in the statement of the problem
Answer:
s - c = 2 ------eq-1
s + c = 6 ------eq-2
Step-by-step explanation:
Speed of Amelia's swimming is same then why is the time taken while going upstream different than while going downstream?
It is because the resistance of current in the river is in the downward direction. It explains why Amelia takes more time to go upstairs and much less to come back.
Using Speed = Distance traveled/Time
While going upstream:
Amelia is going against the current, hence the direction for Amelia and river's current is opposite. We get the equation:
s - c = 12/6 = 2------eq-1 where t = 6 hours
While going downstream:
Amelia is going with the current, hence the direction for Amelia and river's current is same. We get the equation:
s + c = 12/2 = 6------eq-2 where t = 2 hours
(c) solve the equations and give the answer
Answer:
speed of the current in the river = c = 4 km/h
Step-by-step explanation:
To find = c?
We will use the two equations:
s - c = 2 ------eq-1
s + c = 6 ------eq-2
From eq-1 :
putting s = 2+c in eq-2:
Hence; the speed of the current of the river is 4 km/h.
answer:
Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is , where (p,q) is the turning point. now we substitute the turning point
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a then we substitute a to get the quadratic equation therefore f is