x = -5 is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)
<em><u>Solution:</u></em>
Given that, we have to write the equation of line that is parallel to line x = -2 and passes through point (-5, 4)
From given,
The equation of the line in standard form is x = -2
<em><u>This is a vertical line, so the parallel line will also be a vertical line of the form:</u></em>
x = a
Since we are given that the line should pass through the point (-5, 4) then the equation of the line is:
x = -5
Thus the equation of line is found
Step-by-step explanation:
Answer:
Initial value is 4,000
Growth is -480
Step-by-step explanation:
Initial value is the value that you started with: hence 4000.
Growth would be how much it grows, it grows downward because it is 12% down. Next you need to find what 13% of 4000 is 100%-13%=88% .88*4000=480 or 13% of 4000.
Hope this helps
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
The area of the track will be 78501 m². The area of the track is equal to the area of the circle.
<h3>What is the area?</h3>
The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square meters and other similar units are used to measure area.
The area of the track is found as;
Hence, the area of the track will be 78501 m².
To learn more about the area, refer to the link;
brainly.com/question/11952845
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