The top of a ladder slides down a vertical wall at a rate of 0.15 m/s . At the moment when the bottom of the ladder is 1.5 m from the wall, it slides away from the wall at a rate of 0.3 m/s. How long is the ladder?

a. 3.9 m
b. 2.9 m
c. 4.4 m
d. 3.4 m
e. 2.4 m


d. 3.4 m

Mathematics

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Solve the equation.- x = 

A.
B.
C.
D.

Mathematics

Write the word statement as an equation. Use x to represent the unknown number. Do not solve.The sum of a number and 3 multiplied by the sum of the number and 18 is equivalent to 39 minus 21 times the number.

A. (x + 3)(x + 18) = 21x - 39 B. (3x + 3)(18x + 18) = 21x - 39 C. (x + 3)(x + 18) = 39 - 21x D. 3x(x + 18) = 39 - 21x

Mathematics

Give the converse of the statement, “If it is an orange, then it is a fruit.”

What will be an ideal response?

Mathematics

Solve the equation exactly in the complex number system.x3 + 125 = 0

A. x = 5, x =  ± 
B. x = - , x =  ± 
C. x = -5, x =  ± 
D. x = -5, x =  + , x = -  - 

Mathematics