Answer:
2(n-6)=12
(I went too far in my explanation; I'm not going to erase it because I think it is important to have an example on solving these)
Step-by-step explanation:
Twice the difference of a number and 6 is the same as 12.
Twice means 2 times
Difference means the result of subtracting something.
is the same as means equal to (=).
So we are given 2(n-6)=12.
You can start by dividing 2 on both sides are distributing 2 to terms in the ( ).
I will do it both ways and you can pick your favorite.
2(n-6)=12
Divide both sides by 2.
n-6 =6
Add 6 on both sides
n =12
OR!
2(n-6)=12
Distribute 2 to both terms in the ( )
2n-12=12
Add 12 on both sides
2n =24
Divide both sides by 2
n =12
Answer:
m 1 = 45 degrees because 1 and the angle measuring 135 degrees are supplementary angles.
m 2 = 95 degrees because 2 and the angle measuring 95 degrees are vertical angles.
m 3 = 40 degrees because 1, 2, and 3 form a triangle
Step-by-step explanation:
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
Answer:
5
Step-by-step explanation:
i think its 2 with the remainder of 8
