Which equation represents the general form of a circle with a center at (-2,-3) and a diameter of 8 units
2 answers:
Answer:
Equation of circle is (x + 2) ²+ ( y + 3)² = 4².
Step-by-step explanation:
Given : a circle with a center at (-2,-3) and a diameter of 8 units.
To find : Which equation represents the general form of a circle .
Solution : We have given center at (-2,-3) and a diameter of 8 units.
Radius = .
Radius = .
Radius = 4 units.
Standard form of circle is (x -h) ²+ ( y -k)² = r².
Where, ( h, k) is center , r = radius .
Plug center ( -2 ,-3) and r = 4 .
(x - (-2)) ²+ ( y - (-3))² = 4².
(x + 2) ²+ ( y + 3)² = 4².
Therefore, Equation of circle is (x + 2) ²+ ( y + 3)² = 4².
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Answer:
1.256g = 1,256,000 micrograms
1.256g = 1256mg
1.256g = 0,001256kg
Step-by-step explanation:
This is a conversion of units problem, that can be solved by rules of three.
In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.
When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.
When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.
Unit conversion problems, like this one, is an example of a direct relationship between measures.
First step: 1.256g to micrograms
Each g has 1,000,000 ug. So:
1g - 1,000,000 ug
1.256g - xug
x = 1,000,000*1.256
x = 1,256,000 micrograms
Second step: 1.256g to mg
Each g has 1,000 mg. So:
1g - 1,000mg
1.256g - xmg
x = 1,000*1.256
x = 1256mg
Final step: 1.256g to kg
Each kg has 1,000g. So:
1kg - 1,000g
xkg - 1.256g
1,000x = 1.256
x = 0,001256kg