Answer:
<u>The standard form is:</u>
- (x - h)² + (y - k)² = r², where (h, k) is the center, r is the radius
<u>Convert the given into standard form by completing square:</u>
- x² - 4x + y² + 6y = 12
- x² - 4x + 4 + y² + 6y + 9 = 12 + 4 + 9
- (x - 2)² + (y + 3)² = 25
- (x - 2)² + (y + 3)² = 5²
- The standard form is above.
- The center is (h, k) = (2, -3)
- The radius is r = 5
The answer is A. If 9 pencils cost $7.74, we have to divide the total cost ($7.74) by the number of pencils (9) to obtain the price of 1 pencil. Now that we have the price of 1 pencil, to obtain the cost of 6 of them we simply multiply the result by six.
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
A compound inequality has two inequality statements joined together
The the temperature of the inequality is represented by T
The temperature T of a refrigerator is at least 35°F and at most 41°F
This means that the temperature falls between 35°F and 41°F
Since the temperature, T, is at most 41°F
This can be mathematically interpreted as
T ≤ 41
The temperature, T, is at least 35°F
35 ≤ T
Combining the two inequality statements 35 ≤ T and T ≤ 41, the compound statement formed is:
35 ≤ T ≤ 41
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
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Answer:
2A /h -b =p
If you need it with a common denominator
(2A -bh)/h = p
Step-by-step explanation:
A = 1/2 ( p+b)h
Multiply each side by 2
2A = ( p+b)h
Divide by h
2A/h = ( p+b)h/h
2A/h = ( p+b)
Subtract b
2A/h -b = p+b -b
2A /h -b =p
If you need it with a common denominator
(2A -bh)/h = p
