<u>Answer</u>
<em>The total displacement of the object is 320 m</em>
<u>Solution-</u>
From the formulas of mechanics,
Where,
s = displacement
u = initial velocity = 0 ( ∵ As the body was in rest in the beginning )
t = time taken = 8 s
a = acceleration = -10 m/s² ( ∵ -ve is because of the downward motion)
Putting all the values,
( ∵ -ve displacement means it is in downwards)
Answer:
B) B(2,-3) and C(-2,3)
Step-by-step explanation:
The given point A, has coordinates (-2,-3).
When point A(-2,-3) is reflected over the y-axis to obtain point B, then the coordinates of B is obtained by negating the x-coordinate of A.
Therefore B will have coordinates (2,-3).
When point A(-2,-3) is reflected over the x-axis to obtain point C, then the coordinates of C is obtained by negating the y-coordinate of A.
Hence the coordinates of C are (-2,3)
Answer: y = -35x + 105
Step-by-step explanation:
The graph represents a function that is between hours and miles and to determine the equation which belong to this graph, we need to find the slope first by using two points from the graph which are (0, 105) and (3, 0).
The definition of slope is
m = (y2 - y1)/(x2 - x1)
= (0-105)/3-0
= -105/3
= -35
The slope is -35 and remember that the slope is the coefficient of the variable x. Therefore, the answer is:
y = -35x + 105
"The quotient of 8 and the sum of 3 and m" can be written as:
8/(3 + m)
Answer:
g(x) = | x + 7 |
Step-by-step explanation:
The absolute value graph f(x)=|x| is a V-shaped graph with the vertex (tip, point) at (0,0). The graph shown has been translated (slid, shifted) 7 units to the left. Left or right shifts, horizontal shifts, are caused by an adjustment to the x. Horizontal shifts are also maybe the opposite of your intuition. Left shifts, you ADD to x. Right shifts, you subtract from x.
This is a left shift, so adjust the x by inserting a +7
f(x) = |x|
g(x) = | x + 7 |
