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.
Answer:
The irrational number is 4.37124...
Step-by-step explanation:
This is because the number is non-terminating and non-repeating; as in the numbers don't repeat in the same order and they never end.
Answer:
y=2/3x+1
Step-by-step explanation:
using the slope intercept formula, y=mx+b, where m is the slope, and b is the y intercept. So we get the equation y=2/3x+b, because the slope is given, then you use the given point and substitute it into the equation, 5=2/3(6)+b which you can solve and you will get 5=4+b, b =1, then you add 1 to your original equation to get your answer, y=2/3x+1
Volume units quarts to gallons (fluid and dry) conversion factor is 0.25 (quart is 1/4 of an gallon). To find out how many gallons in quarts, multiply by the factor, or simply use the converter below.
1 Quart = 0.25 (1/4) Gallon [US, UK, Fluid or Dry]
Quart and gallon are imperial and US customary volume measurement units. In US customary system, both units have different volume capacity for dry and fluid measurements but in imperial (UK), the volume is the same for both fluid and dry measurement.
The answer to you question is B for number 1 and for 2 it is C. Hope this helps