Answer:
(a)
(b)
(c)
Step-by-step explanation:
We are required to construct 3 linear equations starting with the given solution z = 1/3.
<u>Equation 1</u>
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Multiply both sides by 9
Rewrite 3 as 5-2
9z=5-2
Add 2 to both sides
Our first equation is:
<u>Equation 2</u>
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Multiply both sides by 21
Rewrite 7 as 11-4
21z=11-4
Subtract 11 from both sides
Our second equation is:
<u>Equation 3</u>
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Multiply both sides by 6
Rewrite 6z as 4z+2z
4z+2z=2
Subtract 2z from both sides
Our third equation is:
Answer:
x = 8.2
Step-by-step explanation:
Answer:
-sqrt(3)/2
Step-by-step explanation:
Use double angle identity for sin(2x)
sin(2x)=2sin(x)cos(x)
We are given sin(x)=-1/2 so we already have so far that:
sin(2x)=2(-1/2)cos(x)
sin(2x)=-1*cos(x)
We just need to find cos(x).
x is in the fourth quadrant so cosine will be positive there
knowing the unit circle we should know that if sin(x)=-1/2 then cos(x)=sqrt(3)/2 while in 4th quadrant.
So the answer is sin(2x)=-1*sqrt(3)/2=-sqrt(3)/2
Answer:
5
Step-by-step explanation:
4.5*10^-8/ 9*10^-9
1) Reduce the fraction, express 9 as a product of multiplying 4.5*2
4.5*10^-8/4.5*2*10^-9
2) Then notice the common factor of numerator and denominator( 4.5) , get rid of it in both numerator and dnominator
3) 10^-8/ 2*10^-9= 1/2*(10^-8/10^-9)= 0.5* (10^-8/10^-9)
10^-8/10^-9= 10^(-8-(-9))= 10^1=10.
so 0.5*10=5 (it is the answer written in scientific form)
Answer: The second piece can weigh 256 pounds at most.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality with the information given:
The sum of the weight of each piece of Luggage must be less or equal to 581 pounds:
x + 325 ≤581
Where x is the second piece's weight.
Solving for x:
x ≤581 -325
x ≤ 256
The second piece can weigh 256 pounds at most.
Feel free to ask for more if needed or if you did not understand something.
