Slope-intercept form is y=mx+b, so we simply have to solve for y...
3y+5x=-15 subtract 5x from both sides
3y=-5x-15 divide both sides by 3
y=-5x/3-5 or more neatly in my opinion...
y=(-5x-15)/3
Answer:
3. Add all the number toegther, then divide by the number of numbers present.
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
Each mp3 sells at $120 per mp3 player multiply that by 100 its $12000
It cost them $45 per mp3 to be made multiply that by 100 its $4500 then add the $1500 for the week and its $6000
$12000-$6000=$6000
They make a profit of $6000 in a week
AD is perpendicular to BC so slope Ad = -1/slope of BC
Slope of BC = (2 - (-1)) / (- 6- 3) = 3 / -9 = -1/3
So slope of AD = -1 / (-1/3) = -3/-1 = 3 Answer
Answer:
- 12 ft parallel to the river
- 6 ft perpendicular to the river
Step-by-step explanation:
The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.
72 = W(2W)
36 = W²
6 = W . . . . . . the width perpendicular to the river
12 = 2W . . . . the length parallel to the river
_____
<em>Development of this relation</em>
Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...
A = xy = x(T -x)/2
Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...
x = (0 +T)/2 = T/2
The corresponding area width (y) is ...
y = (T -T/2)/2 = T/4
Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.
