You skip count by 9 to find the answer to a multiplication fact. You say, “9, 18, 17, 36.” What multiplication fact did you solv
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Parallel lines share the same slope, so the slope of the parallel line in this case must be .
Point-slope form is , where
is the slope and
is any known point on the line.
Plug in the values.
Simplify and distribute.
Subtract 1 from both sides.
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²
Differentiating with respect to t
Since the car driving towards the intersection at 13 m/s.
so,
Now
= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.