Answer:
x(t) = -1 + 4t
y (t) = 3 - 5t
Step-by-step explanation:
The end points of the line segment are (-1, 3) and (3, -2).
Let a = (-1,3) and b = (3,-2)
Now, find the value of (b-a)
(b-a) = ((3+1), (-2-3))
b-a = (4, -5)
Therefore, the parametrization of the given line segment is
r(t) = a + (b-a)t
r(t) = (-1,3) +(4,-5)t
r(t) = (-1+4t, 3-5t)
We can rewrite this as
x(t) = -1 + 4t
y (t) = 3 - 5t
Answer:
27
Step-by-step explanation:
If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:
x + x + 8 + x - 9 = 56
3x - 1 = 56
3x = 57
x = 19
The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.
Answer: 3 + 15/16 inches
Step-by-step explanation:
You need (5 + 3/16) inches, and you have (9 + 1/8) inches, then the amount that you need to cut is equal to the difference between these numbers, this is:
(9 + 1/8) - (5 + 3/16) = (9 - 5) + (1/8 - 3/16) = 4 + (2/16 - 3/16) = 4 - 1/16
now, this notation is used for aditions, so we can write it as:
4 - 1/16 = 3 + 1 - 1/16 = 3 + 16/16 - 1/16 = 3 + 15/16
Then the amount that needs to be cuted is 3 + 15/16 inches
Answer:
5
Step-by-step explanation:
1 2/3 x 3 1/2 = 5
