Answer:
B, "The graph of g(x) will eventually exceed the graph of f(x)."
Step-by-step explanation:
The numbers are 16 and 4
Reason: 16+4=20 and (16*3)-(4*2)=48-8=40
Let point A (x₁, y₁) and point B (x₂, y₂)
Mid-point formula is given by:
![[ \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}]](https://tex.z-dn.net/?f=%5B%20%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%5D%20)
The distance formula is given by:

The two formula are alike because they both need the information of two coordinate points
They are different because the mid point formula is adding up then divide by two, whereas the distance formula is subtracting then square the answer.
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Real life problem involving distance formula:
Plane A is spotted on a radar with cartesian coordinate (450, 640).
Plane B is spotted on the same radar with cartesian coordinate (350, 540)
Work out the distance between plane A and plane B.
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Real life problem involving mid point formula
Ms. Holland arranges a treasure hunt for a group of scouts. She marks two points, C and D, with cartesian coordinate (-5, 6) and (7, 10) respectively. The clue is that the treasure is buried in the middle point between C and D. Work out the coordinate where the treasure is buried.
Answer:
the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is <em>0.125</em>.
Step-by-step explanation:
The given information is:
- length of the hour hand, l = 6 inches
- length of the minute hand, b = 8 inches
Therefore, since the tip of the minute moves from 12 to 3, it moved a distance of:
s₁ = r θ
s₁ = (8)(π/2)
s₁ = 4π inches
The hour hand moves 30 degrees / 60 = 1/2 degree in a minute.
Therefore, in 30 minutes the hour hand moves a distance of:
s₂ = r θ
s₂ = 6(30×1/2×π/180)
s₂ = π/2 inches
Therefore, the ratio of the distance in inches travelled by the tip of the hour hand to the distance in inches travelled by the tip of the minute hand is:
s₂ / s₁ = (π/2) / 4π
<em>s₂ / s₁ = 0.125</em>