Jeffrey says he has 6.8 dollars. How do you write the decimal 6.8 when it refers to money? Explain
1 answer:
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Answer: A: (x + 4)² + (y - 5)² = 8
<u>Step-by-step explanation:</u>
The equation of a circle is: (x - h)² + (y - k)² = r² where
- (h, k) is the center of the circle
- r is the radius of the circle
To find the equation of circle A, we need (h, k) and r².
It is given that (h, k) = (-4, 5)
The distance between the center of circles A and B is the radius of circle A.
Let's find the center of circle B by completing the square:
x² - 4x + ____ + y² + 6y + _____ = 12 + ____ + _____
↓ ↓
h = -4/2 k = 6/2
h = -2 k = 3 → Circle B has center (-2, 3)
Now let's find the distance between the center of circles A and B:
= (-4 - (-2))² + (5 - 3)²
= (-2)² + 2²
= 4 + 4
= 8
Now we have the the center (h, k) and the r² for circle A:
(h, k) = (-4, 5) and r² = 8 → (x + 4)² + (y - 5)² = 8
Answer:
<h2>Mina can make 9 rolls with 4/5 of flour.</h2>Step-by-step explanation:
Givens
- Mina has 4/5 of the flour she needs to make a loaf of bread.
- 1 loaf of bread requires the same amount of flour than 12 rolls.
Basically, the problem states that with the complete flour, which is 5/5, Mina can make 12 rolls or 1 loaf of bread. Using the rule of three, if 5/5 is equivalent to 12 rolls, how many rolls would be 4/5 of the flour.
Therefore, Mina can make 9 rolls with 4/5 of flour.
(Notice that the result is 9.6, however we can't use the approximation 10, because that would imply an incomplete roll.