Answer:
<h2> y = 13x - 80 </h2>
{Or, if you mean slope of 1/3: y = ¹/₃x - 4 }
Step-by-step explanation:
The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:
m = 13
(6, -2) ⇒ x₀ = 6, y₀ = -2
The point-slope form of the equation:
y + 2 = 13(x - 6)
So:
y + 2 = 13x - 78 {subtract 2 from both sides}
y = 13x - 80 ← the slope-intercept form of the equation
{Or, if you mean slope of ¹/₃: m = ¹/₃
The point-slope form of the equation: y + 2 = ¹/₃(x - 6)
y + 2 = ¹/₃x - 2 {subtract 2 from both sides}
y = ¹/₃x - 4 ← the slope-intercept form of the equation}
Increasing is= [0,90], [270,360]
Decreasing is=[90,270]
Concave up=[180,360]
Concave down=[0,180]
Answer:
$3,000
Step-by-step explanation:
To find his average monthly pay, you have to find the total amount that Willian received in a year by multiplying his monthly salary as a teacher for 10 months and his salary as a barista for 2 months and adding up these numbers. Then, you have to divide the total amount he earned by 12 that is the number of months in a year:
($3,200*10)+($2,000*2)= $32,000+4,000=36,000
$36,000/12=$3,000
According to this, his average monthly pay for the 12 months was $3,000.
Answer:
a=8.06
A=29.74
B=60.26
Step-by-step explanation:
This is a right angled triangle and Pythagoras theorem is to be obeyed.
To get c, we follow the Pythagoras rule that says
Hyp² = Opp² + Adj²
c= Hypotenuse
c²= a² + b²
c² = 4² + 7²
c² = 65
c = √65 = 8.06
For angle A,
the opposing side to the angle = a = 4
The adjacent side to the angle = b = 7
Following trigonometry rule.
Tan A = opp/adj
Tan A = 4/7
A = Tan–¹(4/7)
A = 29.74°
For angle B,
Opposing side = 7
Adjacent side = 4
Tan B = 7/4
B = Tan-¹(7/4)
B = 60.26°
Answer:
42
Step-by-step explanation:
83+q=125
q=125-83
q=42
