Answer:
Option 2 - 3.2 inches.
Step-by-step explanation:
Given : The lengths of two sides of a right triangle are 5 inches and 8 inches.
To find : What is the difference between the two possible lengths of the third side of the triangle?
Solution :
According to question, it is a right angle triangle
Applying Pythagoras theorem,

Where, H is the hypotenuse the longer side of the triangle
P is the perpendicular
B is the base
Assume that H=8 inches and B = 5 inches
Substitute the value in the formula,






Assume that P=8 inches and B = 5 inches
Substitute the value in the formula,





Therefore, The possible length of the third side of the triangle is



Therefore, The difference between the two possible lengths of the third side of the triangle is 3.2 inches.
So, Option 2 is correct.
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Answer:
-2
Step-by-step explanation:
Since it would be immensely helpful to know the equation of this parabola, we need to figure it out before we can continue. We have the work form of a positive upwards-opening parabola as

where a is the leading coefficient that determines the steepness of lack thereof of the parabola, x and y are coordinates of a point on the graph, and h and k are the coordinates of the vertex. We know the vertex: V(-3, -3), and it looks like the graph goes through the point P(-2, -1). Now we will fill in the work form equation and solve for a:

which simplifies a bit to

and
-1 = a(1) - 3. Therefore, a = 2 and our parabola is

Now that know the equation, we can find the value of y when x = -3 (which is already given in the vertex) and the value of y when x = -4. Do this by subbing in the values of x one at a time to find y. When x = -3, y = -3 so the coordinate of that point (aka the vertex) is (-3, -3). When x = -4, y = -1 so the coordinate of that point is (-4, -1). The average rate of change between those 2 points is also the slope of the line between those 2 points, so we will use the slope formula to find it:

And there you have it! I'm very surprised that this question sat unanswered for so very long! I'm sorry I didn't see it earlier!
Answer:
its 72
Step-by-step explanation:
hope this helps
35,894 rounded to the greatest place is 36,000