Answer:
The linear equation represents a proportional relationship and its constant of proportionality is 
.
Step-by-step explanation:
A proportional relationship exists when the following relationship is observed:
Where:
- Dependent variable.
- Independent variable.
- Proportionality constant.
If 
and 
and 
, the following expresion is found:
The linear equation represents a proportional relationship and its constant of proportionality is .
Answer:
Option (3)
Step-by-step explanation:
In a right triangle,
Cosine rule → 
Sine rule → 
In the given triangle,
By cosine rule,
Or cos(h°) = z ÷ x
Therefore, Option (3) will be the answer.
Answer:
y = (-6/13)x + (4/13).,
Step-by-step explanation:
the equation of the line is:
y = mx + b, where "m" is the slope and "b" gives the y-intercept
m = (y2 - y1)/(x2 - x1)
m = (-2 - 4)/(5 - (-8))
m = -6/13
y = (-6/13)x + b
the line passes through the point (-8,4) means that for x = -8, y = 4
4 = (-6/13)(-8) + b
b = 4 - (-6/13)(-8)
b = 4/13
the equation of the line that passes through the points (-8,4) and (5,-2) is:
y = (-6/13)x + (4/13).
The number of days d, he must use the gym to make the membership worthwhile is at least 21 days
Equation
Non members:
Cost of swimming per day = $5
Cost of exercise per day = $9
Total = $5 + $9
= $14
Members:
Yearly fee = $300
Exercise fee per day = $4
Swimming fee = $0
The number of days d, he must use the gym to make the membership worthwhile = $300 ÷ 14
= 21.42857142857142
Approximately,
21 days
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