Answer:
tanJ = 8/15
Step-by-step explanation:
find JK the adjacent side uisng th pythagorean theorem
a² + 16² = 34²
a² = 34² - 16²
a² = 900
a = 30
--------------------
tan = opp/adj
tanJ = 16/30
Reduce
tanJ = 8/15
3x^2y^3+5x^3y^3-6+x^3y^2-2
= (3x^2y^3+5x^3y^3+x^3y^2)-(6+2)
= x^2y^2(3y+5xy+x)-8.
The final answer is x^2y^2(3y+5xy+x)-8~
The first thing to is factor the denominator of the rational function:

to do this we'll need to find two number whose product is -3 and its sum is -2; those numbers are 1 and -3, so:

Now we can rewrite our rational function as follows:

Notice that we have a common factor (x-3) in both numerator and denominator; therefore we can cancel them:

Taking all the above into consideration we realize that x=3 is a removable discontinuity; the correct answer is the first one: there is a hole in x=3 and asymptote at x=-1.
Answer:
$125+$20l<$800
Step-by-step explanation:
Money for helmet plus 20 dollars per lesson (l) has to be less than (<) 800 dollars
Here is the set up:
x
x + 2
x + 4
x^2 + (x + 2) + (x + 4)^2 = 170
Take it from here.