Answer: When distance increases, gravity decreases.
When distance decreases, gravity increases.
This means they have an inversely proportional relationship.
Step-by-step explanation:
Answer:
93
Step-by-step explanation:
108-15=93
5x + 75 > = 600 (thats greater then or equal)
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.
To find the value of y, you need to plug a value into the x variable, in this case -8.
4x + 9y = -14 Substitute -8 for x
4 (-8) + 9y = -14 Multiply
-32 + 9y = -14 Start isolating the variable by adding 32 to both sides
9y = 18 Divide both sides by 9
y = 2
When x = -8, y = 2