Answer: FIRST OPTION
Step-by-step explanation:
According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.
Therefore, keeping the property above on mind, you have that the quotient is the shown below:

Length is 3 times the width
So L = 3W
If L is decreased by 4m and with increased by 1m and perimeter is 66 then
2(3W - 4) + 2(W + 1) = 66
6W - 8 + 2W + 2 = 66
8W - 6 = 66
8W = 72
W = 9
L = 3 x 9 = 27
Width of rectangle = 9 m and length = 27 m
New rectangle:
Width is increase by 1 m = 9 + 1 = 10 m
Length is decreased by 4 m = 27 - 4 = 23 m
Answer
Dimensions of new rectangle are 10 m and 23 m
Answer:
Step-by-step explanation:
sin 75°
sin(30°+45°)
sin30°*cos45°+cos30°sin45°
1/2*1/
+
/2*1
1/2
+
/2
1+3/2
cos(-75°)
-cos(180°-105°)
-cos(-105°)
cos 105°
cos(45°+60°)
cos45°cos60°-sin45°sin60°
1/
*1/2-1/
*
/2
1/2
-
/2
1-
/2
Easey
set equal to each other
5000/8.5x+30000=15000/5.5x+5000
minus 5000 both sides
5000/8.5x+25000=15000/5.5x
times both sides by (8.5)(5.5)
(5.5)(5000)x+(8.5)(5.5)(25000)=(8.5)(15000)x
27500x+1168750=127500x
minus 27500x from both sides
1168750=100000x
divide both sides by 100000
x=11.6875
sub
y=(5000/8.5)(11.6875)+30000
y=6875+30000
y=36875
(x,y)
(11.6875,36875)
The answer would be:
X^2 + 4x -3
Hope this helps you today,
Have a great day