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Answers by Alex S.

no, it is perpendicular ... parallel means the two lines have the same slope (multiplier of x); perpendicular means the two slopes are negative inverse of each other (when multiplied together, the product is -1).  Since -1/2 * 2 = -1, the two lines are perpendicular.

4z + (-5z) (answer)

combile the two coefficients of z ... z*(4-5), or -z

parallel lines have the same slop; perpendicular lines have slopes which are the negative inverse of each other, ie, when multiplied together the result is -1.   slope of y=3x+8 is 3 slope of y=-3x+4 is -3   The two lines are neither parallel nor perpendicular...

Logarithmic help (answer)

Value (V) after n years is original value (35,000) times 1- depreciation (.2), to the nth power ... V=35000*(0.8)^n   Now solve 5000=35000*0.8^n ... log 1/7=n*log (.8) ... can you do that?      

the answer is C, 6:  for the first period, 3 choices; 2nd period, 2; last, or third, period, only one possibility left .. so, 3*2*1 (or 3!, 3 factorial0) is 6.

Each position is independent, in the absence of any other position, so ...   the probability of chocolate is .6 and vanilla is .4  

A.-  cos positive, sin positive (since cot is positive) ... In 1st quadrant b.-  sin positive, cos positive (since 1/cos positive, therefore cos positive) ... 1st quadrant, again

Final velocity =0 initial velocity = 75 acceleration = (initial velocity - final velocity) / time time = 5 (75-0)/5 = 15  

See answer provided by Richard P, as modified with my comment ... yes, the answer (minimum slope) is -2.

(tan v + 1)2 * (tan v - 1)2 = (tan2 v - 1)2   This NOT equal to 2sec2 v.   I believe you left out a + (plus, rather than times/multiply) ... you meant (tan v + 1)2 + (tan v - 1)2 = 2sec2 v   This equality is correct:   (tan...

tan U = sin U/cos U csc U = 1/sin U   (sin U/cos U)*(1/sin U - sin U) (sin U/cos U)*((1-sin2U)sin U)    generate common denominator for expression on right, sin2/sin is same as sin   1-sin2 = cos2   (sin U/cos U)*(cos2 U/sin U) cos2...