Answer:
The slope intercept equation of the line is:
<u> y = (9/8)x - (3/8)</u>
Step-by-step explanation:
- They give us 2 parametric equations to arrive at y = mx + b (Slope intersection equation)
1. X = 8t + 3
2. Y = 9t + 3
- We first convert in terms of t to compare both equations:
1. x = 8t + 3
x - 3 = 8t
t = (x - 3) / 8
- Same for the following:
3. y = 9t + 3
y - 3 = 9t
t = (y - 3) / 9
- Now equating by comparing both equations, we will find y:
(x - 3) / 8 = (y - 3) / 9
9x -27 = 8y -24
9x - 3 = 8y
- Clearing and comparing both parameters gives us:
y = (9/8)x - 3/8
Answer:
106 km / hour
Step-by-step explanation:
Givens
Total time: 6 hours
Total distance: 1356 km
First bus rate: r
Second bus rate: r - 14
Formula
d = r * t
Solution
r*6 + (r - 14)*6 = 1356 Remove the brackets
6*r + 6*r - 84 = 1356 Add like terms
12r - 84 = 1356 Add 84 to both sides
12r + 84 - 84 = 1356-84 Combine
12r = 1272 Divide by 12
r = 1272/12
r = 106 km/hr
Answer:
5.87
Step-by-step explanation:
soh cah toa
tangent is opposite/ adjacent.
We are using tangent because we have the opposite and are trying to find the adjacent.
tan(50)= 7/x
we switch x and tan(50) to get x= 7/tan(50) which gives us approximately 5.87