Suppose a and b vary inversely, and b = 8 when a = 6. Write a function that models the variation and find b when a = 30. Explain
1 answer:
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Answer
Find out the the total length of the walking trail .
To prove
Formula
As given
The trail starts at R(−3, 2) and goes to S(2, 2) and continues to T(2, −5).
RS = 5 units
As given
S(2, 2) and continues to T(2, −5).
Now
ST = 7 units
Therefore
Total length of the trail = RS + ST
= 5 units + 7 units
= 12 units
Therefore the total length of the trail is 12 units.
Answer:
y = - x + 3
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 )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (- 9, 6)
m = =
= -
, hence
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 9, 6), then
6 = 3 + c ⇒ c = 6 - 3 = 3
y = - x + 3 ← in slope- intercept form