What is the product? (9t-4) (-9t-4) -81t2-16 -81t2 +16 -81t2 - 721+16 -81t2+72+ +16

−405t2−601

Step-by-step explanation:

Distribute:

=(9t)(−9t)+(9t)(−4)+(−4)(−9t)+(−4)(−4)+−81t2+−16+−81t2+16+−81t2+−721+16+−81t2+72+16

=−81t2+−36t+36t+16+−81t2+−16+−81t2+16+−81t2+−721+16+−81t2+72+16

Combine Like Terms:

=−81t2+−36t+36t+16+−81t2+−16+−81t2+16+−81t2+−721+16+−81t2+72+16

=(−81t2+−81t2+−81t2+−81t2+−81t2)+(−36t+36t)+(16+−16+16+−721+16+72+16)

=−405t2+−601

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: