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The slope of a line perpendicular to the x-axis is undefined. Perpendicular lines have opposite reciprocal slopes. For example ##1/2## and ##-2/1=-2## are opposite reciprocals and […]

Saclar projection##1/sqrt3## and ##1/3(hati+hatj+hatk)## We have been given two vectors ##veca and vec b## we are to find out the scalar and vector projection of ##vec […]

##log36=2*(log2+log3)## To write this expression in terms of ##log2## and ##log3## you first have to write number ##36## as a product of powers of ##2## and […]

##y=1*1.00014871^x## ##23.392=a*b^21200## There are two variables so I’ll assign 1 to a ##23.392=1*b^21200->## ##23.392^(1/21200)=(b^21200)^(1/21200)->## ##1.00014871=b## So the equation is ##y=1*1.00014871^x##

A number in is in the form ##a * 10^b## Generally ##1

The complex conjugate of ##sqrt(-13)## is ##(-sqrt(-13))## The complex conjugate of ##a+bi## is ##a-bi## ##sqrt(-13)## can be written as ##0+sqrt(13)i## So its complex conjugate is ##0-sqrt(13)i […]

To find the x-intercepts of the graph of ##y=x^2-11x+18## substitute 0 for y and solve for x. ##0=x^2-11x+18## Now factor the quadratic expression on the right. […]

x=-3 or x=3 Using the property that says : ## ln(a) +ln(b) = ln(a*b)## We have: ##ln(x-2)+ln(x+2) = ln5## ##ln((x-2)*(x+2)) = ln5## Rasing exponential both sides […]

Coefficients are the numbers in front of variables. Example: In the term ##2x## 2 is the coefficient In ##4x^5## the coefficient is the number 4 In […]