keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
so a line perpendicular to that one above will have a slope of
Is there a picture we can see ?
Answer:
The shortest walking route is through the diagonal AC: 102.89m
Step-by-step explanation:
One can go from A to C using 2 paths:
- ADC or ABC
- using diagonal AC and half of that inner circle.
We need to compute the length of each path.
1) ADC=AD+DC=80+50=130m
2) AC²=AD²+DC²=80²+50⁵=6400+2500= 8900m²
AC=sqrt(8900)=94.34m.
Note that the diagonal AC has a missing segment, whose length is the diameter of the inner circle. So the straight line has a length of: AC-d=94.34-15=79.34m.
Perimeter of half the circle=pi×r= 3.14×(15/2)= 3.14×7.5=23.55m
So, if one is using the diagonal to go from A to C, then he has to walk:
79.34+23.55=102.89m
Comparing the two routes: 130m vs 102.89m, we notice that the route using the diagonal AC is shorter.
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 3, y = 18 , then
18 = 3k ( divide both sides by 3 )
6 = k
y = 6x ← equation of proportion
(b)
(i)
when x = 12 , then
y = 6 × 12 = 72
(ii)
when y = 42
42 = 6x ( divide both sides by 6 )
7 = x
