Answers
Answer:
::::::::::::::::::::
(-5,1)
The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).
The parabola is represented by the equation y² + 4x - 2y + 21 = 0.
Take the coefficient of y, which is -2, divide it by 2, and square the result:
(-2/2)² = 1
Now, we add and subtract this value inside the parentheses to maintain the equation's balance:
y² - 2y + 1 + 4x + 21 - 1 = 0
Rearranging the terms, we have:
(y² - 2y + 1) + 4x + 20 = 0
Now, the terms inside the parentheses can be written as a perfect square:
(y - 1)² + 4x + 20 = 0
Setting (y - 1)² = 0,
(y - 1)² = 0
y - 1 = 0
y = 1
Substitute y = 1 back into the equation to find the x-coordinate of the vertex:
(1 - 1)² + 4x + 20 = 0
0 + 4x + 20 = 0
4x = -20
x = -5
Therefore, the vertex of the parabola is (-5, 1).
Learn more about the parabola here:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
I hope this helps a little bit.
It Is Not Fake
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Answer:
a = 72 mm is the answer.
Step-by-step explanation:
a = ?
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Answer:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
that would be A
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Step-by-step explanation:
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Answer:
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Answer:
x=6.5
Step-by-step explanation:
I got the x- intercept as 6.5 because I found the x value when y equals 0.
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
Given
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Required
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Alicia, Jamar, and Tia collect dimes for charity. Alicia collects (3k+4) dimes. Jamar collects twice as many dimes as Alicia. Tia collects 4(5+6k) dimes. How many dimes do they collect altogether in terms of k?
Answers
Answer:
33k+32
Step-by-step explanation:
Assign Variables :
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Tia- T
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Simplify equations:
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Add:
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