Step-by-step explanation:
total = ¼(sale $ + marathon $)
253.75 = 1/4(184.6 + m)
1,015 = 184.6 + m
m = $830.40
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°
Part A: The slope of f(x) is three times as great as the slope of g(x).
Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).
In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.
slope (m) = (y2 - y1)/(x2 - x1)
In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)
slope (m) = (-6 - 0)/(0 - 1)
m = -6/-1
m = 6
Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.
y = mx + b
0 = 6(1) + b
0 = 6 + b
-6 = b
So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).
Could you maybe add more info? like a story or something
