First, you must find the slope, which is -5-4/-1-4, or 1.8, and then put it in point-slope form, or y-4=1.8(x-2), which simplifies to y-4=1.8x-3.6, and so put it in general/standard form, you have to subtract 1.8x from both sides and then add 4 to both sides, and lastly divide both sides of the equation by -1.8 to get x+y=1.889, or x+y=1.6/1.8. This is not copied and pasted.
Answer:.
x greater than or equal to -8
Step-by-step explanation:
x+22-13x≥118
Collect like terms
x-13x≥118-22
-12x≥96
Divide both sides by -12
-12x/12≥96/-12
x≥96/-12
x≥-8
The answer is x greater than or equal to -8
Answer:
a) distance covered by hare d1 = 8t
b) distance covered by tortoise d2 = 5t + 550
c) ∆d = 550 - 3t
Step-by-step explanation:
Given;
Speed of hare u = 8m/s
Speed of tortoise v = 5 m/s
Initial distance of tortoise d0 = 550 m
a) using the equation of motion;
distance covered = speed × time + initial distance
d = vt + d0
For hare;
d0 = 0
Substituting the values;
d1 = 8t + 0
d1 = 8t
b)using the equation of motion;
distance covered = speed × time + initial distance
d2 = vt + d0
For tortoise;
d0 = 550m
Substituting the values;
d2 = 5t + 550
d2 = 5t + 550 m
c) the number of meters the tortoise is ahead of the hare.
∆d = distance covered by tortoise - distance covered by hare
∆d = d2 - d1
Substituting the values;
∆d = (5t + 550) - 8t
∆d = 550 - 3t
Answer:
2/3
Step-by-step explanation:
6x + 4y = 72
-6x -6x
4y = 72 - 6x
/4 /4
y = 18 - 6/4x
y = -6/4x + 18
perpidicular slope is the opposite reciprical of the original line:
-6/4 is the slope of the line above.
4/6 or 2/3 would be the desired slope
check:
the two slopes mutplied would equal -1
-6/4 x 2/3 = -12/12 = -1