Answer:
According to the passage, we have the next equation:
where "K" is a proportional constant
Leaving at the end with the next equation:
Integrating the equation, we have:
where "C" is a constant
Then, we have the 2 conditions for the problem:
1) t=0 → r=10
Replacing in the equation, we have C = 10
2) t=5 → r=8
Replacing in the equation, we have K = -0.4
Finally, the time which the snowball will be completely melted will be when r = 0. So replacing in the equation
t = 25 minutes
Answer:
(1,-3.7)
Step-by-step explanation:
subtract the y axis to go down
5 - 8.7 = -3.7
Answer:
it's 13 meters taller
Step-by-step explanation:
both meters are not the same which means it can't be another number
The slope, y-intercept and the equation of the following graph are as follows:
1(a)
slope : 1
y-intercept: 2
Equation: y = x + 2
(b)
slope : - 1 / 3
y-intercept: - 1
Equation: y = - 1 / 3x - 1
2.
(a)
slope : 3 / 4
y-intercept: 5 / 4
Equation: y = 3 / 4 x + 5 / 4
(b)
slope : - 3 / 2
y-intercept: 1 / 2
Equation: y = - 3 / 2 x + 1 / 2
<h3 />
<h3>Slope intercept equation</h3>
where
m = slope
b = y-intercept
Therefore lets find the slope, y-intercept and equation of the following graph.
1.
(a)
(0, 2)(1, 3)
m = 3 - 2 / 1 - 0 = 1
b = 2
y = x + 2
(b)
(0, -1)(-3, 0)
m = 0 + 1 / -3 - 0 = - 1 / 3
b = -1
y = - 1 / 3x - 1
2.
(a)
(1, 2)(-3, -1)
m = -1 - 2 / -3 - 1 = 3 / 4
2 = 3 / 4 (1) + b
b = 2 - 3 / 4 = 5 / 4
y = 3 / 4 x + 5 / 4
3.
(b)
(-3, 5)(1, -1)
m = - 1 - 5 / 1 + 3 = - 6 / 4 = - 3 / 2
-1 = - 3 /2 (1) + b
b = -1 + 3 / 2 = 1 /2
y = - 3 / 2 x + 1 / 2
learn more on y-intercept here: brainly.com/question/2833377?referrer=searchResults
