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3 years ago

Writewrite an equation of the line passing through the point p (-2, 6) that is parallel to the line x= -5.

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

5 0

Answer:

Since the slope of the line x= - 5 is infinite

The line will be parallel to y axis.

And the line passes through - 2, so the equation will become x= -2

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3 years ago

–9(w + 585) = –360 w = ______

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3 years ago

Read 2 more answers

(1 point) Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference betw

slavikrds [6]

Answer:

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

b. $C_{0}=122$

c. $k=-0.00259$

d. $t=153.39838\\$ minutos

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:

$Tm=68$

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

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

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

c. After 33 minutes of serving the coffee has cooled to 180°:

$T(33)=122e^{33k}+68=180\\\\e^{33k}=\frac{112}{122}\\\\33k=Ln(\frac{112}{122})\\\\k=-0.00259$

$150=122e^{-0.00259t}+68\\\\Ln(\frac{150-68}{122})=-0.00259t\\\\t=153.39838\\\\$

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3 years ago

Writewrite an equation of the line passing through the point p (-2, 6) that is parallel to the line x= -5.​

Writewrite an equation of the line passing through the point p (-2, 6) that is parallel to the line x= -5.