Perimeter = 2base + 2base
82 - 2(32) = 18 : 2 = 9
area = 9*32 = 288mm^2
Answer: Y is less than or equal to 65 and X + y= less than or equal to 95
The value of k is
<h3>How to solve the simultaneous equation?</h3>
Given:
x-y=k.............(eq i)
2x²+y²-15..............(eq ii)
We would make y the subject formula in eq ii
2x²+y²-15= 0
2x² + y²= 15
y²= 15-2x²
y=
...........(eq iii)
Substitute the value of y into eq i
x-(
= k
x- (
= k
k= 
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Answer:
5r + 3s ≥ 30
Step-by-step explanation:
We know Keiko wants to do exercise at least 30 minutes a day, and she wants ideally to mix up the activities, by combining running and swimming into her schedule.
Since each lap she runs takes 5 minutes and each lap she swims takes 3 minutes, these will be the left side of the inequality:
5r + 3s
She wants to exercise at least 30 minutes a day, so...
5r + 3s ≥ 30
she could do 3 laps of running and 5 laps of swimming for example.