9514 1404 393
Answer:
nπ -π/6 . . . for any integer n
Step-by-step explanation:
tan(x) +√3 = -2tan(x) . . . . . given
3tan(x) = -√3 . . . . . . . . . . . add 2tan(x)-√3
tan(x) = -√3/3 . . . . . . . . . . divide by 3
x = arctan(-√3/3) = -π/6 . . . . use the inverse tangent function to find x
This is the value in the range (-π/2, π/2). The tangent function repeats with period π, so the set of values of x that will satisfy this equation is ...
x = n·π -π/6 . . . . for any integer n
Answer:
when rounding anything that is or is greater than 5 you round up 1.
4,->7<-08.06
so rounding up 1, 4 would turn into 5.
Answer:
See Explanation
Step-by-step explanation:
No trapezoid is attached; so, I will solve on a general note
The area of a trapezoid is:

Using the attached image as a point of reference;
The parallel sides are: AD (6cm) and BD (12cm)
The height is 4cm
So, the area is:



Answer:
2- B
3- A
Step-by-step explanation:
Remember that to find the zeroes of a quadratic expression of the form

we could either factor it or use the quadratic formula. When

, like in our case, is often way easier and faster factor the expression than using the quadratic formula. The only thing we need to do to factor the expression is find tow number whose product is 48 and its sum is 14; those numbers are 6 and 8.

and

. Now we can factor our quadratic like follows:

Since we are trying to find the zeroes of the function, we are going to set each one of our factored binomial equal to zero and solve for x:


and


We can conclude that the zeroes of the function

are

and

.