Answer:
Step-by-step explanation:
Given:
Center of circle is at (5, -4).
A point on the circle is 
Equation of a circle with center 
and radius 'r' is given as:
Here, 
Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:
Using distance formula for the points (5, -4) and (-3, 2), we get
Therefore, the equation of the circle is:
Now, rewriting it in the form asked in the question, we get
Good evening ,
______
Answer:
the volume of the pyramid = 5cm³
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Step-by-step explanation:
the volume of the pyramid = (b×h)/3 = (2²×3,75)/3 = (4×3,75)/3 = 15/3 = 5.
:)
Answer:
21 Snowmen
Step-by-step explanation:
The perimeter of your yard is 25ft + 28ft + 25ft + 28ft = 106ft
Each snowman is 5ft across, so divide 106ft by 5ft.
106ft / 5ft = 21 with a remainder of 1ft
To be able to make sure your camera is in focus
Answer:
The acceleration of the train is 0.5m/s²
Step-by-step explanation:
Given
Velocity of the train = 10m/s
Time taken = 20 s
Required
Find the acceleration of the train.
The Acceleration if an object is the rate of change of the velocity of the object over time.
In other words, acceleration is calculated by dividing velocity by time.
Mathematically,
Acceleration = velocity ÷ Time
By substituting 10m/s for velocity and 20s for time, we have
Acceleration = 10m/s ÷ 20s
Acceleration = 10/20 m/s²
Acceleration = ½m/s²
Acceleration = 0.5m/s²
Hence, the acceleration of the train is 0.5m/s²
