Answer:
Either or .
Step-by-step explanation:
.
Hence, there are two possibilities to consider:
- Either ,
- Or .
If , then .
Substitute into the original equation: . Solve for : .
Important: verify that the solution meet the assumption . Indeed, and is indeed non-negative. Hence, the solution is valid.
On the other hand, if , then .
Substitute into the original equation: . Solve for : .
Similarly, verify that the solution satisfies the current assumption that . Indeed, this assumption is met, and is also a valid solution.
Answer:
Step-by-step explanation:
1. X + y
Putting values of x and y
-7 + (-3)
= - 10
2. xy
Putting values of x and y
(-7)(-3)
= 21
3. x2 + y2
Putting values of x and y
= (-7)2 + (-3)2
= 49 + 9
= 58
Answer:
60
Step-by-step explanation:
f(t)+g(t)=(1^2+21)+(41-3)=1+21+38=22+38=60
The values of k that will cause the system of equations to have no solution is; k = 7 and 21
We are given the simultaneous equations;
6x - 4y = 14
3x - 2y = k
Now, for both equations not to have a solution it means that x and y can't be made to be subjects.
Now, by inspection see see that the left hand side of the second equation when multiplied by 2 gives the left hand side of the first equation.
By implication, for both equations not to have a solution, k must also be multiplied by 2 to give 14.
Thus;
2k = 14
k = 14/2
k = 7
Also, since 21 is 1.5 multiplied by 14, it means that when we make 21 to be k, there will also be no solution.
Read more about simultaneous equations at;brainly.com/question/17671517
Answer:
1 mile = 8.5 minutes
Step-by-step explanation:
<u>Determining the equation:</u>
Kira ran 8 1/5 miles in 69 7/10 minutes.
⇒ Kira = 8 1/5 miles = 69 7/10 minutes
⇒ 41/5 miles = 697/10 minutes
<u>Simplifying both sides:</u>
⇒ 41/5 miles = 697/10 minutes
⇒ 41 miles = 697/2 minutes
<u>Using cross multiplication:</u>
⇒ 41 × 2 miles = 697 minutes
⇒ 82 miles = 697 minutes
<u>Dividing 82 both sides:</u>
⇒ 82 miles = 697 minutes
⇒ 82/82 miles = 697/82 minutes
⇒ 1 mile = 8.5 minutes