Answer:
x = 5
Step-by-step explanation:
5 - 1 = 4
4/2 =2
Hope this helps!

Notice that Given that
is an ellipse, consider a conversion to polar coordinates:

The Jacobian for this transformation is

with determinant 
Then the integral in polar coordinates is

where you can evaluate the remaining integral by substituting
and
.
Answer:
Step-by-step explanation:
To find the number of inches, divide miles by 9.5.
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a) 24 miles = (24 mi)×(1 in)/(9.5 mi) = (24/9.5) in ≈ 2.526 in
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b) 24 miles + 16 miles = 40 miles = (40 mi)×(1 in)/(9.5 mi) = 40/9.5 in ≈ 4.211 in
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Comment on units conversion
I find it convenient to work units conversion problems by writing a fraction that is equal to 1 and multiplying by that to change units. My fraction has the "to" units in the numerator, and the "from" units in the denominator. That way, the unwanted units cancel when the multiplication is carried out.
The fraction is equal to 1 because the measurement in the numerator is equal to the measurement in the denominator.
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Some folks prefer proportions. If you do it that way, be sure "like" is matched with "like".
map inches/ground miles = 1/9.5 = x/24
route inches/scale inches = route miles/scale miles = x/1 = 24/9.5
Answer:
Part A) ΔCGB and ΔPBE are similiar
Part B) They are similar because they are Vertical Angles/Alternate Interior Angles
Part C) Distance from B to E is 125; Distance from P to E is 275.
Step-by-step explanation:
We develop an equation for the given situation by first writing the general equation for lines,
y = mx + b
Substituting to this given the values given above,
(1990) 430 = b
(2000) 400 = m(10) + 430
The value of m from the equation in 2000 is -3. Thus, the equation of that relates the variables is,
y = -3x + 430