Answer:
see the explanation
Step-by-step explanation:
we know that
A linear function in slope intercept form is equal to

where
m is the slope or unit rate
b is the y-intercept
x is the independent variable or input value
f(x) is the dependent variable or output value
In this problem we have

where
m is the number of miles
f(m) is the cab company's fare in dollars
we have that
In this context
<em>Slope</em>
The slope or unit rate is equal to the cost per mile for the riders trip
The slope is $3 per mile
<em>Y-intercept</em>
The y-intercept is the cost of the riders trip when the number of miles is equal to zero, also is called the initial value.
The y-intercept is $5
24/8 = 3
the 24 to 8 gear = 3:1 ratio which is greater than 2:1
Answer:
Hypotenuse = 14 inches
Adjacent = 12.12 inches
Step-by-step explanation:
Using SOH, CAH TOA Method
According to SOH
Sin(theta) = Opposite/Hypotenuse
Given theta = 30°
Opposite = 7 inches
Sin30° = 7/Hypotenuse
Hypotenuse = 7/Sin30°
Hypotenuse = 7/0.5
Hypotenuse = 14 inches
The other leg will be the adjacent saying x using Pythagoras Theorem to get x
Hypotenuse^2 = Opposite^2 + Adjacent^2
14^2 = 7^2 + x^2
x^2 = 14^2 - 7^2
x^2 = 196 - 49
x^2 = 147
x = sqrt of 147
x = 12.12 inches
D. (11,13), (8,18) is the answer