9514 1404 393
Answer:
a) x = -3
b) y = (28/27)x -27
Step-by-step explanation:
a) College street has a slope of 0, so is a horizontal line. 2nd Ave is perpendicular, so is a vertical line, described by an equation of the form ...
x = constant
For 2nd Ave to intersect the point (-3, 1), the constant must match that x-coordinate. The equation is ...
x = -3
__
b) Since Ace Rd is perpendicular to Davidson St, its slope will be the opposite reciprocal of the slope of Davidson St. The slope of Ace Rd is ...
m = -1/(-27/28) = 28/27
Using the point-slope equation for a line, we can model Ace Rd as ...
y -y1 = m(x -x1)
y -1 = (28/27)(x -27)
y = (28/27)x -27
The angles are 72 degrees and 108 degrees.
Explanation:
Angle 1 : Angle 2 = 2 : 3
Angle 1 = 2k
Angle 2 = 3k
Angle 1 + Angle 2 = 180 (supplementary angles)
2k + 3k = 180
5k = 180
k = 36
Angle 1 = 2k = 2 x 36 = 72 degrees
Angle 2 = 3k = 3 x 36 = 108 degrees
Answer:
5/6
Step-by-step explanation:
Answer:
(a) 0.4242
(b) 0.0707
Step-by-step explanation:
The total number of ways of selecting 8 herbs from 12 is
(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then
Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.
The probability = 
(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then
This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.
The probability = 
Assuming they start saving at 0 dollars
45=total=duanesavings+micksavings
duanesavings=confusing, I will explain
mick savings =amount saves per week times number of weeks
duane saves 5 dollars every other week, aka 2.5 dollars per 1 week
DS=2.5w
MS=2w
since they save at same time and at that week, when the weeks are equal (w=w), 45 it total
DS+MS=45
2.5w+2w=45
4.5w=45
divide by 4.5 both sides
w=10
10 weeks
