Answer:
a) See attachment 1.
b) t² and D
c) See attachment 2.
d) g = 9.8 m/s² (1 d.p.)
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
See attachment 1. The line of best fit is shown in red.
<h3><u>Part (b)</u></h3>
The quantities the student should graph in order to produce a <u>linear relationship</u> between the two quantities are t² and D.
<h3><u>Part (c)</u></h3>
Make a table of values of t² and D:

<u>Plot</u> a graph of D against t² and draw a line of best fit (see attachment 2).
<h3><u>Part (d)</u></h3>
From inspection of the graph, the line of best fit passes through the origin (0, 0) and (0.1024, 5.0). Therefore, use these two points to find the slope of the line:

Therefore:



Answer:
Step-by-step explanation:
Find the image attached. For two triangles to be congruent, then the sides of UVW is equal to that of TSR
From the diagram given
TR = UW
Given
TR = 50
UW = 3z+14
Equate and find z;
3z+14 = 50
3z = 50-14
3z = 36
z = 36/3
z = 12
VW = RS
Given
VW = 27
RS = 5y - 33
Equate
5y-33 = 27
5y = 27+33
5y = 60
y = 60/5
y = 12
Also TS = UV
TS = 53
UV = 12x+7
Equate:
12x-7 = 53
12x = 53+7
12x = 60
x = 60/12
x = 5
Hence x = 5, y = 12 and z = 12
Answer: C) three times a number minus two is more than 16
Explanation: < represents greater than
Integers are always rational