Which of the following lines is parallel to x=8? 3y=16 x=7 x=y y=8

2 answers:

7 0

Parallel lines<span> are </span>lines<span> in a plane which do not meet; that is, two </span>lines in a plane that do not intersect or touch each other at any point. Therefore, from the choices listed above, the correct answer should be the second option. The line that is parallel to x=8 should be x =7. Hope this answers the question. Have a nice day.

Firdavs [7]3 years ago

7 0

Answer: x=7 is the line parallel to the given line x=8 .

Step-by-step explanation:

Parallel lines are the lines which are always same distance apart and never intersect. The given line is x=8 with intersects the x axis at x=8 and it is parallel to y axis with slope infinite or not defined. So from the given options only x=7 is the line which is equidistant(same distance between them at any point) never intersect x=8 and is parallel to y - axis. Therefore x=7 is to line which is parallel to x=8.

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Answer:

a. $\frac{dT}{dt}=k(T-Tm); T(0)=190$

b. $C_{0}=122$

c. $k=-0.00259$

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Step-by-step explanation:

a. Newton's law of cooling states that the speed with which a body is cooled is proportional to the difference between its temperature and that of the medium in which it is found. Then, the initial value problem is given by:

$Tm=68$

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b. The differential equation obtained is a differential equation of separable variables:

$\frac{dT}{T-Tm}=kdt\\\\\int {\frac{dT}{T-Tm}}=\int{kdt}\\\\Ln|T-Tm|=kt+C\\\\T(t)=C_{0}e^{kt}+Tm=C_{0}e^{kt}+68\\\\T(0)=C_{0}e^{k(0)}+68=190\\\\C_{0}=122$