Find the center, which is the midpoint of the two endpoints given.
(x1 +x2)/2 , (y1 +y2)/2
(4-2)/2 , (-3+5)/2
2/2 , 2/2
Midpoint = (1,1)
Find the radius, which is the distance from the center to an end point.
√(x2-x1)^2 +(y2-y1)^2
√(4-1)^2 + (-3-1)^2
√(3^2 + -4^2)
√9+16
√25
r = 5
The equation for a circle is written as (x-h)^2 + (y-k)^2 = r^2
h and k are the center points.
Replace the letters with their values to get:
(x-1)^2 + (y-1)^2 =25
Answer:
1.176 grams
Step-by-step explanation:
Given:
Recommended dose
21 mg per day for 6 weeks
Now,
1 week = 7 days
Thus,
number of days in 6 weeks = 6 × 7 = 42 days
Therefore, the total dose = dose per days × number of days
= 21 × 42 = 882 mg
further,
14 mg per day for 2 weeks
Now,
1 week = 7 days
Thus,
number of days in 2 weeks = 2 × 7 = 14 days
Therefore, the total dose = dose per days × number of days
= 14 × 14 = 196 mg
further,
7 mg per day for 2 weeks
Now,
1 week = 7 days
Thus,
number of days in 6 weeks = 2 × 7 = 14 days
Therefore, the total dose = dose per days × number of days
= 7 × 14 = 98 mg
Hence, the total dose = 882 + 196 + 98 = 1176 mg
also,
1 g = 1000 mg
thus,
1176 mg = 1.176 grams
total quantity received during this course is 1.176 grams
Answer: 5 feet per second.
Work: This is a fraction equal to
125 Feet ÷ 25 Seconds
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 25
This makes 5 feet/1 second which makes the answer 5 feet!
The modal class is 70 - 80 and the mean speed is 66.4
<h3>How to determine the modal class?</h3>
The table of values is given as:
Speed Frequency
40 - 50 10
50 - 60 16
60 - 70 19
70 - 80 23
80 - 90 12
The modal class is the class with the highest frequency
The class 70 - 80 has the highest frequency of 23
Hence, the modal class is 70 - 80
<h3>How to determine the mean?</h3>
Rewrite the frequency table to include the class midpoints
x f
45 10
55 16
65 19
75 23
85 12
The estimate of the mean speed is then calculated as:
So, we have:
Evaluate
Hence, the mean speed is 66.4
Read more about mean and mode at:
brainly.com/question/14532771
#SPJ1