Part I)
The module of vector AB is given by:
lABl = root ((- 3) ^ 2 + (4) ^ 2)
lABl = root (9 + 16)
lABl = root (25)
lABl = 5
Part (ii)
The module of the EF vector is given by:
lEFl = root ((5) ^ 2 + (e) ^ 2)
We have to:
lEFl = 3lABl
Thus:
root ((5) ^ 2 + (e) ^ 2) = 3 * (5)
root ((5) ^ 2 + (e) ^ 2) = 15
Clearing e have:
(5) ^ 2 + (e) ^ 2 = 15 ^ 2
(e) ^ 2 = 15 ^ 2 - 5 ^ 2
e = root (200)
e = root (2 * 100)
e = 10 * root (2)
Answer:
x = 44
Step-by-step explanation:
its saying that x is less than 45 therefore its 44
Answer:
30
Step-by-step explanation:
Correct question:
Evaluate and simplify the expression when a = 3 and b = 2,
given expression = 3b-2(1 - b)a - 2
Answer:
3b-2(1 - b)a - 2 at the given values is 10.
Step-by-step explanation:
Given;
3b-2(1 - b)a - 2
The expression is simplified as;
3b-2(1 - b) a - 2 = 3b - 2a(1 - b) - 2
= 3b - 2a + 2ab - 2
When a = 3 and b = 2; then, substitute these values in the simplified expression above;
3b - 2a + 2ab - 2 = 3(2) - 2(3) + 2(3 x 2) - 2
= 6 - 6 + 12 - 2
= 10
Therefore, 3b-2(1 - b)a - 2 at the given values is 10.
Find the number of miles driven by subtracting the odometer readings:
74545 - 74233 = 312 miles driven.
Divide miles driven by gallons of gas used:
312 / 9 = 34.66 = 35 miles per gallon.
