Answer: U' = (0, 1)
<u>Step-by-step explanation:</u>
U = (3, -5)
rotate 90° counterclockwise means (x, y) = (-y, x)
new U = (5, 3)
down 2 units means subtract 2 from the y-coordinate
newer U = (5, 1)
left 5 units means subtract 5 from the x-coordinate
U' = (0, 1)
9/3 is already made a fraction.
Why?
Because it is not a whole numer.
Well, this improper fraction can be simplified.
<u>9 </u> ÷ 3<u>
</u>3 ÷ 3
= 1.
<u />
Answer:
<em>The options are not visible enough (See Explanation)</em>
Step-by-step explanation:
Given
x:- 1 || 2 || 3 || 4 || 5
y:- 13 || 22 || 37 || 58 || 85
Required
Determine if the function is quadratic
Calculate the difference between the values of y




<em>The resulting difference are: 9 || 15 || 21 || 27</em>
Next; Calculate the difference between the difference of values of y



<em>The resulting difference are: 6 || 6 || 6</em>
<em>For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.</em>
Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%