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3 years ago

What is the slope of the line?

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

8 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

$\frac{y1 - y2}{x1 - x2} \\ \frac{1 - 2}{2 - 4} \\ \frac{ - 1}{ - 2} \\ = \frac{1}{2}$

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√(4x-9) + 1 =2√x <br>Find the value of X

Natasha_Volkova [10]

There are no values for x that make the equation true

7 0

3 years ago

(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°:

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

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

8 0

3 years ago

Convert the following equations from point-slope form to slope-intercept form.

mojhsa [17]

<h2>Answer:</h2>

We need to solve both for y.

7 0

3 years ago

CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!!!

aivan3 [116]

Answer:

Step-by-step explanation:

The equation is in vertex form a(x-p)^2 + q, ergo giving us the highest point of the parabola, so q (in this case 45 is the highest point in meters, where p multiplied by (-1) is the time taken to reach that height

8 0

3 years ago

Read 2 more answers

Given f(x) = 18x + 8, find x when f(x)= 14.

Naddika [18.5K]

The answer is 0.3 (1/3.)

Proof?

f(0.3) = 18(0.3) + 8

f(0.3) = 6 + 8

f(0.3) = 14

14 = 14

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

8 0

2 years ago