Answer:
y = - 9
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 ) = (1, - 6) and (x₂, y₂ ) = (4, 3)
m =
=
= 3
y = 3x + c ← is the partial equation
To find c substitute any of the 2 points into the partial equation
Using (4, 3), then
3 = 12 + c ⇒ c = 3 - 12 = - 9, hence
y- intercept c = - 9 ⇒ (0, - 9 )
Answer:

Step-by-step explanation:
Given
tan x =
, then
x =
(
) = 60° ← related acute angle
Since 180° < x < 270° and tan x > 0 then x is in third quadrant
x = 180° + 60° = 240°
and
sin(x - 210)°
= sin(240 - 210)°
= sin30°
= 
So a complementary angle is going to equal 90 degrees.
The equation is : x - 10 + 4x - 10 = 90
Then, add together the matching terms : 5x - 20 = 90
Add 20 to both sides : 5x = 110
Then divide both sides by 5 : x = 22
Insert the value 22 into the first equation : (22 - 10) + (4*22 - 10) = 90
Solve : 12 + 78 = 90
Angle UVW = 12 and angle XYZ = 78
Answer:
C 3.5.......
Step-by-step explanation:
Your welcome
Answer:
Sorry just need points
Step-by-step explanation: