Answer:
$24
Step-by-step explanation:
25 percent of 32 is 8
32-8 is 24
so its 24 dollars after the sale has been added
Answer:
(c) 5y -17x +99 = 0
Step-by-step explanation:
The median of a triangle is the line through a vertex and the midpoint of the opposite side. The median of ΔXYZ from vertex Y will be the line through point Y and the midpoint of XZ.
<h3>Midpoint</h3>
The midpoint of XZ is the average of the coordinates of X and Z.
M = (X +Z)/2
M = ((1, -2) +(8, -7))/2 = (9, -9)/2 = (4.5, -4.5)
<h3>Line through two points</h3>
The slope of the median can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
The slope of line YM is ...
m = (-4.5 -4)/(4.5 -7) = -8.5/-2.5 = 17/5
The point-slope form of the equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line with slope 17/5 through point Y(7, 4) is ...
y -4 = 17/5(x -7)
Subtracting the right side, and multiplying by 5 gives ...
5(y -4) -17(x -7) = 0
5y -17x +99 = 0 . . . . equation of the median through Y
3/4 = 6/8 after you multiply top and bottom by 2
Subtract 3/4 from 7/8 and we get
7/8 - 3/4 = 7/8 - 6/8 = (7-6)/8 = 1/8
There is 1/8 of a gallon left
A=LW and we wish to increase L and W by the same amount to get an area of 192m^2.
(9+2x)(13+2x)=192
117+18x+26x+4x^2=192
4x^2+44x+117=192
4x^2+44x=75
x^2+11x=18.75
(x+5.5)^2=30.25+18.75
(x+5.5)^2=49
x+5.5=±7
x=-5.5±7, since x>0
x=1.5
13+2(1.5)
16 meters will be the new longer dimension.
Answer:
1.1000
2.3/4
3.f(x)=1000(1/4)^X
Step-by-step explanation:
