Answer: 30.48
Step-by-step explanation:
Sum the series of 30.48 + (1/2)(30.48)+ (1/4)(30.48)+(1/8)(30.48)+(1/16)(30.48)+(1/32)(30.48)
Or use an Excel spreadsheet
The first car consumed 21 gallons while the second car consumed 49 gallons. here is the how it's done.
for the first car gallons consumed is 15/50x70= 21 gallons
the second car consumed 35/50x70=49 gallons
Y = 2x - 17, comparing to y = mx + c, slope m = 2.
If perpendicular, the new slope would be -1/2, that is the negative reciprocal of 2.
And passing through (-8 , 1).
using y = mx + c, and x = -8, y = 1, m = -1/2
1 = -1/2*-8 + c
1 = 4 + c
1 - 4 = c
c = -3
y = mx + c, substituting m = -1/2, and c = -3, y = -(1/2)x - 3.
Option C.
Answer:
(1,0)(-4,0)
Step-by-step explanation:
Answer:
y = 3x -1
Step-by-step explanation:
When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...
... (2/5, 1/5), (-1/5, -8/5)
The line through these points can be found starting with a 2-point form of the equation for the line.
... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)
Filling in the point values gives ...
... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)
... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5
... y = 3x -1 . . . . . simplify
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The graph shows the original points and the line through them in red, and the dilated points and line in green.