y = ½x +3
Step-by-step explanation:
Slope = m = ½
y-intercept = 3
Substitute values into Slope intercept form :

Where m = slope
b = y intercept

Answer:
m∠ABC=42°
Step-by-step explanation:
m∠ABD=70°
⇒m∠ABD=m∠ABC+m∠CBD
⇒70°=(3x+33°)+(5x+13°)
70°=8x+46°
70°-46°=8x
24°=8x⇒x=3°
x=3°
Then,
m∠ABC=3x+33°
put x=3°, we get
m∠ABC=3×3°+33°=9°+33°
m∠ABC=42°
Answer:
A = 25
Step-by-step explanation:
Base = |-2-(-7)| = |-2+7| = 5
equation of the line that includes the base
x = 6 (because it is parallel to y axis)
the height passes to the point (-4,-4) and must be perpendicular to the base
the equation of the line of the base hasn’t the slope expressed, so the line of the height has a slope equal to 0
so the equation of the line is y= -4
the point (6,-4) is where the two lines intercept and it is the point where the height hit the base
height = |-4-6| = 10
A = (base x height)/2 = (5x10)/2 = 25
Answer:
The correct option is a) n(n-4).
Step-by-step explanation:
Consider the provided information.
Let n represents the number of rows.
The number of seats in each row is 4 less than the number of rows.
This can be written as: 
A theater has n rows of seats.
Therefore the total number of seats in the theater is:

Hence, the correct option is a) n(n-4).
Answer:
A, D
Step-by-step explanation:
(1)
Assume that tan x = y. Replace this into the equation (1), we have:
+) 
=> 2y = 
=> 
=> 
=> 
=> 
=> 
=>
or 
If
=> y = - √3
=> tan x = - √3
=> x =
+ n.
with n is an integral
If 
=> y = 1/√3
=> tan x = 1/√3
=> x =
n is an integral
So that A, D are answers.