Answer:
10 miles
Step-by-step explanation:
Given: Bike goes 8 miles south and then 6 miles east
To find: distance between the final point and the starting point
Solution:
<u>Pythagoras Theorem</u>
In a right angled triangle, square of hypotenuse is equal to the sum of squares of the two sides.
In ΔOAB,
Put
Take square root on both sides.
So, distance between the final point and the starting point is 10 miles
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange - 4x - 5y = - 4 into this form
Add 4x to both sides
- 5y = 4x - 4 ( divide all terms by - 5 )
y = - +
← in slope- intercept form
with slope m = -
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - + c ⇒ c = - 2 +
=
y = - x +
← in slope- intercept form