Answer:
Yes, the students answer is reasonable.
Step-by-step explanation:
Answer to the first question
Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
Area of circle = πr^2 = 25π (r = 5)<span>
72 degrees is 1/5 of circle
so 25</span>π / 5 = 5π
<span>
area of triangle = 1/2 bh
</span>area of triangle <span>= 1/2(5.8)(4)
</span>area of triangle <span>= 11.6
area of figure = 5</span>π - 11.6
<span>
answer
A. (</span>5π - 11.6 ) ft^2<span>
</span>
Answer: {(5,0), (3,4)}
Step-by-step explanation:
You can apply the Substitution method:
- Solve for y from the second equation.
- Substitute into the first equation and solve for x.
Then:
(Remember that: 
)
Substitute the values obtained into one of the original equation and solve for y:
The solution set is: {(5,0), (3,4)}
