a)
The rotation transformations are:
where $(x', y')$ are new coordinates.
Since we want an anti-clockwise rotation of the axes, put $\theta= 90$° to get the required coordinates as $(4,-1)$
b)
The equation of the given line is $x-y=0$
Use the mirror formula:
Replace $x$ by $y$ above to get the corresponding formula for the y-coordinate.
Here we have
$a=1$
$b=-1$
$c=0$
$x_o= 1$
$y_o =4$
Substitute these values to get the required coordinates as $(4,1)$
c)
$(5,3)$ maps onto $(1,1)$
Let's keep it simple here: To get the new coordinates you subtract 4 from the x coordinate and 2 from the y coordinate.
Thus for our point $(1,4)$ our image is $(1-4, 4-2)$ which is $(-3,2)$
Answer:
Doctor 1's average is 12 while doctor 2 is 16
Step-by-step explanation:
doctor 1:
20+22+29+15=17=18+1+1+2+3+7+9=144/12=12
doctor 2: 35+20+20+22+23+26+13+17+2+2+3+9=192/12=16
Answer:
1/3
Step-by-step explanation:
Both 11 and 33 are divisible by 11
11/11 =1
33/11 =3
11/33 = 1/3
Answer:
check out symbolab and wolfram alpha for faster easier help but here are your answers
Step-by-step explanation:
Answer:
a) 39 b) 17
Step-by-step explanation:
12x - 9
12(4) - 9
48 - 9
39
d/15 + 13
(60)/15 + 13
4 + 13
17