Answer:
y=-1/5x-1
Step-by-step explanation:
Answer:
<em>x</em> = -33.462
Step-by-step explanation:
-8.58/<em>x</em> = 3.9
<em>x</em> = 3.9 x -8.58
<em>x</em> = -33.462
The coordinates of the focus of the parabola are (4 , 0)
Step-by-step explanation:
The standard form of the equation of the parabola is
(x - h)² = 4p(y - k), where
- The vertex of the parabola is (h , k)
- The focus is (h , k + p)
- The directrix is at y = k - p
∵ The equation of the parabola is 12(y + 3) = (x - 4)²
- The form of the equation is (x - h)² = 4p(y - k), compare
between them to find h, k and p
∴ h = 4
∵ - k = 3
- Multiply both sides by -1
∴ k = -3
∵ 4p = 12
- Divide both sides by 4
∴ p = 3
∵ The coordinates of the focus are (h , k + p)
∵ h = 4 , k = -3 , p = 3
∴ k + p = -3 + 3
∴ k + p = 0
∴ The focus is (4 , 0)
The coordinates of the focus of the parabola are (4 , 0)
Learn more:
You can learn more about the equation of the parabola in brainly.com/question/9390381
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Answer:
9.8 inches
Step-by-step explanation:
<h3>Formula for volume of the sphere is = 4/3πr³</h3><h3>Form and solve the equation for the radius</h3><h3>So: 4/3πr³= 498in³</h3><h3>πr³= 498in³*3/4 which = to 373.5in³</h3><h3>r³= 373.5in³/π</h3><h3>r=∛(373.5in³/π)</h3><h3>calculate r and times the result by 2 for diameter</h3><h3>it will be 9.834...</h3><h3>nearest tenth of an inch means the accuracy is 1 decimal place because nearest tenth= 1/10 or 0.1</h3><h3>So the final answer is 9.8in</h3>
42,376 ............................
