Step-by-step explanation:
Any coordinates in the shaded area are solutions. Any coordinates on the line are not a solution due to it being dashed. Anything in the non-shaded area is also not a solution. You can always check if you are right by plugging in the numbers.
Example: (1, -2)
-2 < 0.5(1) + 2
-2 < 0.5 + 2
-2 < 2.5
True, -2 is less than 2.5.
Another Example: (-2, 1)
1 < 0.5(-2) + 2
1 < -1 + 2
1 < 1
False, 1 is not less than itself.
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:
99.96
Step-by-step explanation:
Your height is correct.
Part B is asking for the length of the hypotenuse.
76.6^2 + 64.25^2 = x^2
x^2 = 9995.6225
x = 99.96 or 99.98 depending on if you round to 76.6 or not
Answer:
7 Days
Step-by-step explanation:
Miles cost:
$0.10 * 200 = $20
Daily Cost
Her budget at this point is $330 because $350 - $20 (the miles)
$330 / 42.72 = Roughly 7.72
Therefore Zoey can drive for 7 days before her budget runs out.
Answer: The answer would be $556.
Step-by-step explanation:
