Answer:
Step-by-step explanation:
You can see that (0,6) and (1,1) are points on the line.
Use their coordinates to calculate the slope.
slope = (6-1)/(0-1) = 5/(-1) = -5
You can also see that the y-intercept is 6.
Slope-intercept equation of the line: y = -5x+6
Answer:
1. <u>+12x</u> and <u>15</u>
2. <u>14x</u>
3. <u>2</u>
Step-by-step explanation:
Step 1: Distribute -3
To distribute -3, you would multiply both -4x and -5 by -3, changing them to 12x and 15
Step 2: Combine 12x and 2x
Then you would combine like terms, meaning that you would add 12x and 2x, creating 14x.
Step 3: Combine 15 and -13
You would finish combining like terms by adding 15 to -13, creating 2
Answer:
See below.
Step-by-step explanation:
1. (1 / 2)[cos(a – b) – cos(a + b)]
= 1/2 ( cosa cosb + sina sinb - (cosa cosb - sina sinb)
= 1/2 ( cosa cosb - cosa cos b + sina sinb + sina sinb)
= 1/2 ( 2 sina sinb)
= sina sinb.
(I used the 2 identities cos(a - b) = cosa cosb + sina sinb) and
cos (a + b) = cosa cosb - sina sinb.)
2. sin (π/2 - x) = sin (π/2) cos x - cos(π/2) sin x
= 1 * cos x - 0 * sinx
= cosx - 0
= cos x.
(I used the identity sin(a - b) = sina cosb - cosa sinb
and the fact that sin(π/2) = 1 and cos (π/2) = 0. )
Then the inverse<span> is y = </span>(x + 2)<span> / </span>3<span>.</span>
