Answer: (x - 4)² + (y - 7)² = 9
<u>Explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center
- r is the radius
Given: (h, k) = (4, 7)
Find the intersection of the given equation and the perpendicular passing through (4, 7).
3x - 4y = -1
-4y = -3x - 1
--> 
Use substitution to find the point of intersection:
Use the distance formula to find the distance from (4, 7) to (5.8, 4.6) = radius
Input h = 4, k = 7, and r = 3 into the circle equation:
(x - 4)² + (y - 7)² = 3²
(x - 4)² + (y - 7)² = 9
The angular velocity is defined as "the angle changing over time."
From the given of the problem:
m = 100g
rate of revolution = 50 rev / min
Therefore, using the formula:
angular velocity = rate of revolution x 2*pi / revolution
Substituting:
angular velocity = (50 revs / min) x ( 2*pi radians / rev ) = 100*pi radians / min
As you can see, mass is not a part of the equation for solving the angular velocity therefore the amount of mass does not affect its value.
The unconditioned stimulus (UCS) for Tab the dog is: B. The flowers and fence.
<h3>The types of stimuli.</h3>
In Science, the two (2) stimuli that are repeatedly paired in classical conditioning include:
<h3>What is an unconditioned stimulus?</h3>
An unconditioned stimulus can be defined as a stimulus that is capable of naturally triggering a response, before or without any conditioning while it elicit a specific response without learning.
- This ultimately implies that, an unconditioned stimulus leads to an automatic response in a living organism such as a dog.
In this scenario, the unconditioned stimulus (UCS) for Tab the dog is simply the flowers and fence.
Read more on unconditioned stimulus here: brainly.com/question/24868138
Explanation: It is because when a car is moving both the car and the driver is in inertia of motion. When a car is involved in collision it comes to a sudden stop and the car comes into inertia of rest whereas the person still in inertia of motion moves forward and might result in major injuries. But this can be prevented by wearing a seatbelt
Hope it helps :)
<h2>
Answer:</h2>
The <u>interstellar medium</u> is the content of matter and energy that exists between stars within a galaxy.
In this sense, two components can be distinguished in the interstellar medium: dust particles and gas.
Dust represents 1% of the interstellar medium in mass, while the gas (consisting mainly of hydrogen and helium) represents 99% of the mass of the interstellar medium.
It should be noted that the interstellar matter is not uniformly distributed but is concentrated in molecular clouds.
