Answer:
k = 3
Step-by-step explanation:
The value of k is the amount by which the function f(x) is translated upward to give the function g(x). We can compare y-intercepts to see that the y-intercept of g(x) is 5 -2 = 3 units more than the y-intercept of f(x). This means ...
g(x) = f(x) +3
Comparing to ...
g(x) = f(x) +k
we see that k = 3.
Answer:
1) claire's stone at 1.25 seconds
2) 0.5 seconds and its max height was 9
3) lin at 8ft
Step-by-step explanation:
the intercepts tell you the first and third question and then the max height is the highest point on the graph
not sure what measurements you were supposed to use so I used seconds and feet and if that's not it then it's the same numbers just different words
Using Pythagoras theorem, the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
Let distance from the wall to the foot of the ladder is 'x' feet and the height of the top of the ladder is 'y' feet.
Pythagoras theorem,
--->(1)
Given,
at x=3
Put x=3 in Pythagoras theorem equation (1)


= 135
y = 11.61
Derive equation (1) w.r.t to 't'
---->(2)
substitute the value of 'x', 'dx/dt' and 'y' in equation (2), we get the fast of the top of the ladder moving down when the foot of the ladder is 3 feet from the wall
12 + 23.22
= 0


Hence, using Pythagoras theorem the top of the ladder moving down when the foot of the ladder is 3 feet from the wall is of -0.518 feet/sec.
Learn more about Pythagoras theorem here
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I'm not sure about these answers sorry
Answer:
MON = 130°
Step-by-step explanation:
LOM + MON = 180°
In other words
4z + 30° + 8z + 90 = 180°
12z + 120 = 180
60 = 12z
z = 5
5 x 8 = 40 + 90 = 130°