Assume that x, y, and c are positive numbers. Use the properties of logarithms to write the expression 
in terms of the logarithms of x and y.
a. 
b. 
c. 
d. 
e. 
a.
Mathematics
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Use the Pythagorean Theorem to solve the problem. Use your calculator to find square roots, rounding, if necessary, to the nearest tenth.A square sheet of paper measures 49 centimeters on each side. What is the length of the diagonal of this paper?
A. 4802 cm B. 69.3 cm C. 98 cm D. 49 cm
Mathematics
Simplify. Assume all variables represent nonnegative values.
A. 2x + 2 + 
B. 2x - 2
C. 2x + 2
D. -2x + 4
Mathematics
Find the equation of the parabola determined by the given information.Focus at (1, 7), directrix x = -9
A. x = 
y2 - 
y - 
B. y = 
x2 + 
x + 
C. y = 
x2 - 
x + 
D. x = 
y2 + 14y + 31
Mathematics
Simplify the expression. Assume that all variables are positive when they appear.7
+ 5
A. 3
B. -17
C. 12
D. 17
Mathematics