Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13
Answer is option . D
I think the error is that you did not divide 6 by 2 first because you are supposed to so you would get 3, then you do 1 times 3 which is 3, then you have 3 plus 3 left which would be 6. i’m hoping this is right and that it helps you
Answer:
y = 
x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (- 4, - 4)
m = 
= , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 6, - 5), then
- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2
y = x - 2 ← equation of line
Answer: -21
Step-by-step explanation:
The numbers are subtracted by 12 each time
Y = mx + b
First equation 1 = m(4) + b, bring everything to one side m(4) + b - 1 = 0
Second equation 7 = m(5) + b, bring everything to one side m(5) + b - 7 = 0
Set them equal to each other,
m(4) + b - 1 = m(5) + b - 7
If you bring the b over to the left hand side it becomes
m(4) + b - b - 1 = m(5) - 7
m(4) - 1 = m(5) - 7
Solve for m
6 = m
Plug m = 6 into either equation from the beginning,
m(4) + b - 1 = 0
6(4) + b - 1 = 0
24 + b - 1 = 0
b = -23
Knowing m and b we can now make an equation
y = mx + b
y = 6x -23 Final answer
