Answer: A composite figure is made up of simple geometric shapes. To find the area of a composite figure or other irregular-shaped figure, divide it into simple, non overlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.
The given expression can be written as
= (q+8)(q+4).
Step-by-step explanation:
Given,

To make it a complete square.
Formula
(a+b)² = 

Now,

= 
= (q+6)²-36+32
= (q+6)²-4
= (q+6)²-2²
= (q+6+2)(q+6-2)
= (q+8)(q+4)
Answer:
The number is 2.26
Step-by-step explanation:
Let The given numbers be x
Now according to question :
x : 18 = x² - 5
I.e x = 18 × ( x² - 5 )
or, x = 18 × x² - 90
or, 18 x² - x - 90 = 0
Or, From quadratic equation , the value of x
x = 
Or, x = 
Or, x = 
So, x =
∴ x =
= 2.26
Hence The number is 2.26 Answer
Answer: 1508 hours of sleep
Step-by-step explanation:
the arm gets 29 more hours of sleep than the plat per week
52 x 29 is 1508
Given
centre of circle O(3,2)=O(x0,y0)
point on circle P(6,-2)
Standard equation of circle:
(x-x0)^2+(y-y0)^2=r^2
r=radius of circle
= (distance OP)
= sqrt((6-3)^2+(-2-2)^2)
=sqrt(3^2+(-4)^2)
=sqrt(25)
=>
r^2=(sqrt(25))^2=25
Equation of circle
(x-x0)^2+(y-y0)^2=r^2
(x-3)^2+(y-2)^2=25 ............... standard equation of circle