The train left the terminal at 11:20 am and arrived at its destination at 2:40 pm how long did the train travel?
2 answers:
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Answer:
x = k - 3
Step-by-step explanation:
Given parameters:
Gradient of the line = 5;
Coordinates; M(x, 8)
N(k, 23)
Solution:
If we use the expression for finding the slope of the line, we can solve this problem;
Slope =
where
x₁ = x y₁ = 8
x₂ = k y₂ = 23
Input the parameters:
5 =
15 = 5(k - x)
3= k- x
k - x = 3
Express x in terms of k;
-x = 3 - k
Multiply through by -1;
x = -3 + k
x = k - 3
Here, we can split this parallelogram into two triangles and one rectangle. The triangles are equal to each other so we can just find the area of the rectangle and the are of <span>one triangle.
</span>Triangle area formula:
, where a = area, b=base, and h=height.
Plug in 5 for b and 11 for h:
<span>Multiply by 2!
</span>
Rectangle area formula: a=bh, where a = area, b = base, and h = height.
Plug in 4 for b and 11 for h.
a = 4 x 11
a = 44
44+55 = 99
Area is 99 cm<span>².</span>
</span>Triangle area formula:
Plug in 5 for b and 11 for h:
<span>Multiply by 2!
</span>
Rectangle area formula: a=bh, where a = area, b = base, and h = height.
Plug in 4 for b and 11 for h.
a = 4 x 11
a = 44
44+55 = 99
Area is 99 cm<span>².</span>