Answer:
Step-by-step explanation:
Check attachment for solution
FORMULA:
ANSWER:
We are given new side of square i.e, 2s + 3.
So, Area = (2s + 3)²
- (2s)² + (3)² + 2 × 2s × 3
- 4s² + 9 + 12s
Hence, The area of the new graph is a perfect square trinomial: __4__s² + __12__s +__9__.
Answer:
No solution
Step-by-step explanation:
The given equations are :
9x-3y=-6
3x-y=2.....(1)
5y=15x+10
5y-15x=10
or
y-3x=2 .....(2)
Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.
Answer:105
Step-by-step explanation:
area of rectangle (b*h) (7*12)
Area of triangle 1/2 (b*h) 1/2(7*6)
Rectangle=84
Triangle=21
84+42= 105
- We are to find the time (number of minutes) is would take for 23 mg of the substance to be remaining.
- The formula for time is written as:
t = [t1/2 x In(Nt/No)] / In 2
where:
t1/2 = Half life = 4 minutes
No = Initial quantity of the sample = 90 mg
Nt = Amount of the sample left = 23 mg
t = time elapsed = ?
Hence,
t = [4 x In (23/90)] / -In 2
t = 7.8731645610906 minutes
Approximately to the nearest hundredth = 7.87 minutes
Therefore, there will be 23mg of substance remaining after 7.87 minutes.
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