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alyxxboothe
21.02.2020 •
Mathematics
A coach drives 360miles at a speed of 60mph how long does the journey take
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Ответ:
It takes 6 hours
Step-by-step explanation:
Ответ:
The value of x-coordinate of point B is -0.75 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to find a point divides a line into two parts with
a given ratio
- If pont (x , y) divides a line segment whose endpoints are (x1 , y1)
and (x2 , y2) at ratio m1 : m2 from point (x1 , y1) to point (x2 , y2),
internally then
and
* Lets solve the problem
- Point A = (0 , 4) and point C = (-3 , 5)
- Point B located one fourth the distance AC
∴ Point B divides the line segment AC at a ratio 1 : 3 from point A to
point c internally (because one fourth from A to C means the line
AC is 4 parts and AB is one of them, then BC will be 4 - 1 = 3)
- Lets use the rule above to find the x-coordinate of point B
∵ A = (0 , 4) and C = (-3 , 5)
∴ x1 = 0 and x2 = -3
∵ B divides segment AC at ratio 1 : 3 from A to C
∴ m1 = 1 and m2 = 3
- Lets use the rule of x above to find its value
∴
∴ The value of x-coordinate of point B is -0.75