What is the slope of the line with equation y-3=-1/2(x-2)?
1 answer:
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Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0
Answer:
9.025 inches
Step-by-step explanation:
Let the length be represented by:
Where is the length of candle at time
is the rate at which the candle is burning.
And is the initial length of the candle.
As per the question statement, let us put the given values in the equation.
Subtracting (1) from (2):
Putting the value of in the equation (1):
Therefore, the equation becomes:
Now, we have to find the height of candle after 2 hours.
2 hours mean 120 minutes.
Therefore, the height of candle is <em>9.025 inches</em>.