Answer:
Step-by-step explanation:
y/2 - 4 = x/3 can also be written as 1/2y - 4 = 1/3x
slope intercept form is y = mx + b
1/2y - 4 = 1/3x....multiply entire equation by 6, to get rid of fractions
3y - 24 = 2x ...add 24 to both sides
3y = 2x + 24....divide both sides by 3
y = 2/3x + 6 <===
$60 -$45= $15
$15/ $60* 100%= 25%
The percent discount is 25%~
Answer:
(b) 1.7 in
Step-by-step explanation:
The area of a regular polygon in terms of perimeter and apothem is given by the formula ...
A = 1/2Pa
For a hexagon, the perimeter is 6 times the side length, so this becomes ...
A = 1/2(6s)a = 3sa . . . . . for side length 's' and apothem 'a'
__
Solving for the apothem, we find ...
a = A/(3s)
For the given values of area and side length the apothem is ...
a = 10.4/(3·2) = 1.733... ≈ 1.7 . . . inches
The apothem, rounded to tenths, is 1.7 inches.
Answer:
Step-by-step explanation:
15x+10x=12x+90; ⇔ 13x=90;
Answer:
Step-by-step explanation:
Key to this method is remembering that
So, if you divide the coefficient of x by 2 and square it, that will complete the square. With that in mind, things are easy.
6/2 = 3, so add 
So, c=9
Similarly, for the other two,
You don't really have to worry about the sign, since squaring will always make it positive
