What is 5(2+x+3) Simplified ?
2 answers:
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Answer: A″ (−1, 2), B″ (1, 1), C″ (1, −1), D″ (−1, −2)
Step-by-step explanation:
- there are basically 2 parts in the question.
- first one is the translation(easier one)
after translation, the corresponding points will be:
A (− 5, 1) --> a(-5+3,1-2) = (-2,-1)
B (−4, 3) --> b(-4+3,3-2) = (-1,1)
C (−2, 3) --> c(-2+3,3-2) = (1,1)
D (−1, 1) --> d(-1+3,1-2) = (2,-1)
- now the second part:
let (x,y) be a point and if it is rotated by ""
then, the new coordinates (x',y') will be :
x'=
y'=
here,
so,
a(-2,-1) --> A"
(since, cos[90]=0, sin[90]=1)
b(-1,1) -->B"(-1cos[90]+1sin[90], -[-1]sin[90]+1cos[90])=(1,1)
c(1,1) --> C"(1cos[90]+1sin[90],-[1]sin[90]+1cos[90]) = (1,-1)
d(2,-1) --> D"(2cos[90]+[-1]sin[90],-2sin[90]+[-1]cos[90]) =(-1,-2)
these are the coordinates after both the transformations.
Answer:
Step-by-step explanation:
Given that a group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below.
Data set is as ollows:
70 79 38 63 44 23 62 61 67 50 61 70 94 87 65
H0: mu = 60 sec
Ha: mu not equals 60 sec
Mean diff = 2.27
Test statistic = 2.27/SE =0.4815
p value =0.6376
Since p>0.05, we accept null hypothesis
i.e. there is statistical evidence to say that students are reasonably good at estimating one minute