Answer:
4.5
Step-by-step explanation:
43-32+2-4= 9
9/2= 4.5
We have that
tan x=5
we know that
tan x =sin x/ cos x
sin x/ cos x=5------> squaring-----> sin² x/cos² x=25
remember that
sin² x+cos² x=1-----> cos² x=1-sin² x
substitute
sin² x/[1-sin² x]=25
sin² x=25-25*sin² x
26*sin² x=25
sin² x=25/26
sin x=5/√26
cos² x=1-(5/√26)²----> 1-(25/26)----> 1/26
cos x=1/√26
the answers are
sin x=5/√26
cos x=1/√26
Answer:
vertical
Step-by-step explanation:
its going straight up
Step-by-step explanation:
$21
Let the amount Lori bought the shirt and the hat be $x, if she bought them at half off sale, the initial price of both item will be 2 × $x
If she spent $21 on both items, the initial price will have been 2 x $21 = $42 where x is $21
Original price of the hat and shirt is therefore $42. Since both are on half off sale, the initial price is the hat will be $42/2 = $21
Step-by-step Answer:
Step 1:
Extract factor(s) common to all terms.
In this case, the HCF is 3, so the expression is written
-12x^2+45x+12 = -3(4x^2-15x-4)
The negative sign was also exrracted to give a positive leading coefficient, which is easier to work with.
Step 2, group the coefficient in such a way that there is a common factor.
Leaving the factor -4 for the moment, and concentrate on the coefficients in parentheses, write the original expression as
4x^2 - 15x -4
= 4x^2 -16x
+ x -4
= 4x*(x-4) + 1*(x-4)
extract (x-4) as a common factor
= (x-4)(4x+1)
Step 3:
Combine all the factors to get
-3(x-4)(4x+1)
=3(4-x)(4x+1)
as the complete factoring of the given expression.
