Answer:
6
Step-by-step explanation:
Given,
...(i)
Differentiating w.r. to x.

From equation (1)

Now, at the point (1,3)


Answer:
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Step-by-step explanation:
Answer:
67
Step-by-step explanation:
Since the diagonals in a rectangle are congruent, AC=BD and
7x+18=10x-3
We need to separate x -- to do that, we can first subtract 7x from both sides, resulting in
18=3x-3
Next, add 3 to both sides to get
21=3x
Divide both sides by 3 to get
x=7
Then, we just plug x into 10x-3 to get BD = 7*10-3 = 67
Answer:
Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) = 10,002.47 KM
Step-by-step explanation:
As earth is a sphere of radius 6371 km.
Therefore at 60 degree latitude, the radius of circle can be calculated as shown below:
= 6371 * Cos 60
= 3185.5 KM
Saint Petersburg is nearly 180 degree about Anchorage by flying directly east.
So Distance from Anchorage (longitude 150 degrees W) to Saint Petersburg (longitude 30 degrees E) can be calculated as shown below:
= (180 * 2 * 3.1416 * 3185.5) / 360
= 10,002.47 KM
Equation is y = 4x + 5
Step-by-step explanation:
- Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0
⇒ m = (5 - 9)/(0 - 1) = 4
- Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
- Step 3: Write the equation in slope-intercept form
⇒ y = 4x + 5