Answer:
a) y = |x/2 -2| +4
b) y = |x/2 -2| +2
c) y = |(x+1)/2 -2| +3
d) y = |(x-1)/2 -2| +3
Step-by-step explanation:
To translate the function f(x) by (h, k) in the (right, up) direction, you transform it to ...
g(x) = f(x -h) +k
<u>a) one unit up</u>
Add 1 to the function value.

<u>b) one unit down</u>
Subtract 1 from the function value.

<u>c) one unit left</u>
Replace x with x-(-1).

<u>d) one unit right</u>
Replace x with x-1.

Answer:
6.4
Step-by-step explanation:
To find the distance you have to do this formula.

6.4 is the answer rounded to the nearest tenth.
Hope this helps!!
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
7^2+KL^2=25^2
49+KL^2=625
KL^2=625-49
KL=
KL=24
take M as reference angle
using tan rule
tan M=/opposite/adjacent
tan M=KL/ML
tan M=24/7
Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
Answer:
area of a rectangle is length multiplied by breath, which is the multiplication of 5 an 1/3