Answer:
Step-by-step explanation:
Given that
Slope m=-3
A point (x, y)=(4,-2)
Equation of a line can generally be written as
y=mx+c
Where, m is the slope
And c is the intercept on y-axis
Since we are given m=-3
Then, y=mx+c becomes
y=-3x+c
To get c, let substitute the point given, i.e x=4 and y=-2
y=-3x+c
-2=-3(4)+c
-2=-12+c
-2+12=c
c=-2+12
c=10
y=mx+c, then m=-3 and c=10
Then, the equation the line becomes y = -3x + 10
This is the required line equation
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Hi there!

We can begin by setting the two expressions equal to solve for t:
2t - 1 = 5t
Subtract 2t from both sides:
-1 = 3t
Divide both sides by 3:
t = -1/3
Plug in this value of t into x(t) and y(t):
x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3
y(-1/3) = 5(-1/3) = -5/3
Thus:
(-5/3, -5/3) are the corresponding coordinates.
Answer:

Step-by-step explanation:
we know that
The volume of the composite figure is equal to the volume of a semi-sphere plus the volume of the cone
so

we have


substitute


