Answer:
Step-by-step explanation:
Ratio = 3 : 2
Length =3x
Width = 2x
Perimeter = 50 inches
2*(length + width ) = 50
2* (3x + 2x ) = 50
2* 5x = 50
10x = 50
x = 50/10
x = 5
Length = 3*5 = 15 inches
Width = 2*5 = 10 inches
This graph has no solutions and is inconsistent
Answer:
32
Step-by-step explanation:
In 100^1000,
100 can be written as,
100 = 10 x 10 = 10^2
100^1000
= 10^( 2 * 1000 )
= 10^2000
10 can be written as,
10 = 2 x 5
10^2000
= ( 2 x 5 )^2000
Formula : -
( a x b )^n = a^n x b^n
Here,
a = 2
b = 5
n = 2000
( 2 x 5 )^2000 = 2^2000 x 5^2000
[ 2^2005 x 5^2000 ] / 100^1000
= [ 2^2005 x 5^2000 ] / [ 2^2000 x 5^2000 ]
Formula : -
a^m x b^n / a^c x b^d
= a^( m - c ) x b^( n - d )
Here,
a = 2
m = 2005
c = 2000
b = 5
n = d = 2000
[ 2^2005 x 5^2000 ] / [ 2^2000 x 5^2000 ]
= 2^( 2005 - 2000 ) x 5^( 2000 - 2000 )
= 2^5 x 5^0
{ Note : Any number power 0 ( except 0 ) is 1.
That is 0^0 ≠ 1, but 5^0 = 1. }
= 2^5 x 1
= 2^5
= 2 x 2 x 2 x 2 x 2
= 32
Answer:
Step-by-step explanation:
Slope intercept form is 
where <em>m </em>is the slope and <em>b </em>is the y-intercept.
Slope is 
or 
in this case = 
Substitute one of the coordinates for x and y. I am going to use (0, -4) so:
since m = 2 and b = -4, we can conclude that the equation would be
