Answer:
(x -6)^2 +(y -3)^2 = 2
Step-by-step explanation:
The midpoint (C) is the center of the circle:
C = ((5, 4) +(7, 2))/2 = ((5+7)/2, (4+2)/2) = (6, 3)
A circle with center (h, k) that goes through point (a, b) can be written as ...
(x -h)^2 +(y -k) ^2 = (a -h)^2 +(b -k)^2
Using the values for this problem, we get ...
(x -6)^2 +(y -3)^2 = (5 -6)^2 +(4 -3)^2
(x -6)^2 +(y -3)^2 = 2
Answer:
62.5%
Step-by-step explanation:
We can write a proportion. We know that $50 is the original value and $80 is the marked up price. We don't know the marked up percentage. Let's call it x. We write equal ratios of comparing percent and
comparing the 50 to the marked up price. We then set them equal.
We then cross multiply across the equal sign from numerator to the opposite numerator.
80(x)=50(100)
80x=5000
We divide to find x.
x=62.5
This means the bicycles are marked up 62.5% and the original value is 37.5%.
Answer: 54 berry plants
Step-by-step explanation:
From the sample there are:
Lettuce = 12
Tomatoes = 6
Peppers = 3
Berries = 9
The total is: = 12 + 6 + 3 + 9 = 30 plants
Berries comprise of:
= 9/30
= 3/10 of the plants
If they want to plant a total of 180, the number of berrie plants needed is:
= 3/10 * 180
= 54 berry plants
