Let
g(x)--------> the translation of the function f(x)
we know that
the rule of the translation is
units left and 
units down
that means
so
In the function f(x) the point 
is equal at the point 
in the function g(x)
therefore
the function g(x) is equal to
<u>The answer is</u>
a) the rule of the translation is
b) The graph in the attached figure
Area of square = 24cm²
⇒ Length = √24
Find the diagonal of half the square:
a² + b² = c²
c² = (0.5√24)² + (√24)²
c² = 6 + 24
c² = 30
c = √30
The diagonal of half of the square is the radius of the circle.
⇒ radius = √30
Area of the semicircle = 1/2πr² = 1/2π(√30)² =15π
Answer: 15π²
4/6 = x + 3/ 12 - x
4( 12 - x) = 6( x + 3)
48 - 4x = 6x + 18
-4x - 6x = 18 - 48
- 10x = -30
x = 3
Answer:
1320
Step-by-step explanation:
Total number of songs = 12
Number of songs required to arrange in a play list = 3
It means we have to arrange 3 songs from 12 in the play lines. So, required number of ways is
![[\because ^nP_r=\dfrac{n!}{(n-r)!}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5EnP_r%3D%5Cdfrac%7Bn%21%7D%7B%28n-r%29%21%7D%5D)
Therefore, the required number of ways is 1320.
Cross sections of spheres are cicles. Therefore, if cut parallel to the ends, CYLINDER also has cross sections that match that of a circle.
