Answer:
Step-by-step explanation:
Given
Required
Eliminate a
Multiply the first equation by -4
Add to the second equation
Solve brackets
Open bracket
At this point, a has been eliminated;
From the list of given options, the option that answers the question is
Answer:
Step-by-step explanation:
Subtract x on both sides
Divide both sides by 3
To find the y-intercept, let x = 0
y = 0, therefore the function crosses the y-axis at the origin.
To find the x-intercept, let y = 0
x = 0, therefore the function crosses the x-axis at the origin too.
The slope of the function is -1/3, from the origin, go down 1 and right 3
sin^2 x + 4 sinx +3 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
factor the numerator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
1- sin^2x 1 - sinx
factor the denominator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
(1-sinx ) (1+sinx) 1 - sinx
cancel the common term (1+sinx) and (sinx +1)
(sinx +3) 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
reorder the first term
3+sinx 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
9514 1404 393
Answer:
-1/2
Step-by-step explanation:
The factor outside parentheses multiplies each term inside.
5/2(-8/5 +7/5)
= (5/2)(-8/5) +(5/2)(7/5)
= -8/2 +7/2 = -1/2
