Answer:
8
Step-by-step explanation:
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 4, 1) and (x₂, y₂ ) = (0, 2) ← 2 points on the line
m =
=
= 
The difference would be 9 degrees because -3+9=6
Answer:
f
−
1
(
x
)
= arccos (
x
)
+ π/
2
Step-by-step explanation:
y=cos(x-pi/2)
For inverse, interchange the variables and solve for y
f
−
1
(
x
)
= arccos (
x
)
+ π/
2
-1 = z/3 - 7
Emily's Work:
-1 = z/3 - 7
-1(3)=z/3(3)-7
-3 = z - 7
-3 -7 = z - 7
z = -10
Right away without having to start at the beginning, I see that she has made a mistake at the 4th-5th line of work.
Instead of adding 7 to both sides, she subtracts it and still leaves it in and doesn't fully finish the equation, as it would really be z-7 = -10
In order to solve it, follow these steps:
Rewrite the initial equation as follows:
x/3 - 7 = -1
Multiply both sides by 3
x/3(3)-7(3)=-1(3)
x - 21 = -3
Add 21 to both sides
x = 18