Solve the problem.In studying the gravitational force between two objects, the expression  occurs. Show that this expression can be written as 

What will be an ideal response?


 = r2 - 2 rR cos ? + R2 cos2 ? + R2 sin2 ?
 = r2 - 2 rR cos ? + R2(cos2 ? + sin2 ?)
 = r2 - 2 rR cos ? + R2

Mathematics

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Perform the addition visually using symbols.-5 + (-1)

A. -6 B. 6 C. 4 D. -4

Mathematics

A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is not given. Round to the nearest hundredth when necessary.d = rt; t = 5, d = 35

A. r = 30 B. r = 7 C. d = 7 D. r = 40

Mathematics

Use a graphing calculator to plot the data and find the quadratic function of best fit.The number of housing starts in one beachside community remained fairly level until 1992 and then began to increase. The following data shows the number of housing starts since 1992 (x = 1). Use a graphing calculator to plot a scatter diagram. What is the quadratic function of best fit?

A. H(x) = -2.679x2 - 26.607x + 168.571 B. H(x) = 2.679x2 + 26.607x + 168.571 C. H(x) = -2.679x2 + 26.607x - 168.571 D. H(x) = -2.679x2 + 26.607x + 168.571

Mathematics

The eigenvalues of the matrix  are  and 

style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_668134210a034f029ed7cca47" />. Find a non-zero eigenvector associated with each eigenvalue.
?

A. ?
B. ?
C. ?
D. ?
E. ?

Mathematics