Answer:
y = 0.1x - 4
Step-by-step explanation:
Given the following data;
Points on the x-axis (x1, x2) = (-3, 7)
Points on the y-axis (y1, y2) = (-7, -6)
First of all, we would find the slope;
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope = (-6 - (-7))/(7 - (-3))
Slope = (-6 + 7)/(7 + 3)
Slope = 1/10
Slope = 0.1
Next, we would write the equation using the formula;
y - y1 = m(x - x1)
y - (-7) = 0.1(x - (-3))
y + 7 = 0.1(x + 3)
y + 7 = 0.1x + 3
y = 0.1x + 3 - 7
y = 0.1x - 4
The rate of change of the plane's altitude is 2250 feet per minute.
<h3>How to calculate the rate?</h3>
The rate of change of the plane's altitude will be:
= (35000 - 17000)/8
= 18000/8
= 2250 feet per minute.
When graphing the descent of the plane, the starting value for its altitude be 35000 feet.
The linear function will be:
y = mx + b
35000 = 2250x + b
35000 = 2250(0) + b
b = 35000
y = -2250x + 35000
The information given in this problem that did not need to write an equation for the descent is the initial details about how long that the plane travelled.
Learn more about rates on:
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176
Since you didn't bother to include a diagram of the triangle, I am going to make some assumptions. You need to actually verify that the assumptions are correct and if they are, then this answer is correct. Otherwise if the assumptions are not correct, you're on your own.
Assumption.Points B and C are midpoints of line segments AE and AD. The reason for this assumption is because if points B and C didn't lie on the sides of triangle AED, you would gain no useful information about triangle AED from the lengths provided. Additionally, if those points were not midpoints, you wouldn't gain any information about the lengths of the sides of triangle AED expect that those sides were longer than the lengths of the sides specified.
Once again. VERIFY that points B and C are midpoints of line segments AE and AD.
Now for the solution:Since triangle AED is similar to triangle ABC, that means that the ratio of the lengths of the sides is constant. And since B & C are midpoints of their respective sides, the perimeter of triangle AED is twice the perimeter of triangle ABC. And the perimeter of triangle ABC is 26 + 30 + 30 = 86. So the perimeter of triangle AED is 86 * 2 = 176
Him doing the surgerys / treating the patient
