Answer:
centre = (4,-2)
radius = 3
Step-by-step explanation:
The centre-radius form of the circle equation is in the format
(x – h)² + (y – k)² = r²,
with the centre being at the point (h, k) and the radius being "r"
Given in the question an expression which can be write as
<h3> (x – 4)² + (y – (-2))² = 3²</h3>
So, by translating we can say that
centre = (4,-2)
and
radius = 3
Answer:
The Correct option is C. Addition Property of Equality.
For above Equation by Elimination we use
Addition Property of equality
Step-by-step explanation:
Given:
Addition Property of Equality :
The property that states that if you add the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)
Here equation is given as
3x + 4y = 38
+ 5x - 4y = -30
-------------------------------------
8x = 8
------------------------------------
Here +4y and -4y gets cancelled or becomes 0 hence 8x = 8.
For above Equation by Elimination we use
Addition Property of equality
X would be equal to time and y be equal to distance
The y axis would be measuring distance and the x axis would be measuring time. Another name for a speed graph is the distance time graph. The y axis would be measuring the distance covered by the truck in meters and the x axis would be for the time it takes to reach that distance in second.
B) 2-6 would represent contact motion, meaning the vehicle is at rest. The time would be increasing from 2-6 to however the distance remains the same which is 20m
Answer:
We are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.
Step-by-step explanation:
95 % confidence means that we are 95 % confident that the the proportion of American voters who favor congressional term limits is 64 percent.
95 % confidence means that of all the sample about 95 % values are within in the given range.
And only 5% sample are not included in the given parameter.
Margin of error is the amount of miscalculation or difference in change of circumstances from the obtained data.
3% margin of error usually occurs when the data size is small.
As the data size increases the margin of error decreases.
So this statement tells us that we are 95% confident that the proportion of American voters who favor congressional term limits is 64 percent with a difference of 3% for small sample size.
Margin of error= z *σ/√n→
This indicates that as the sample size decreases the margin of error increases and vice versa.
Thirty three thousand and ninety one
