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boyakko [2]
3 years ago
6

A parabola can be drawn given a focus of (0,−6) and a directrix of y=−2. Write the equation of the parabola in any form.

Mathematics
1 answer:
topjm [15]3 years ago
7 0

Answer:

y = x^2 - 4

Step-by-step explanation:

The vertex of a parabola is exactly halfway between the focus and the directrix.  If the focus is at (0, -6) and the directrix is the line y = -2, then we do this to locate the vertex:  Draw a vertical line through (0, -6) also crossing the line y = -2.  The y value halfway between y = -6 and y = -2 is y = -4, and the vertex is thus (0, -4).

Using the vertex method, write out the equation of this parabola, starting with the general form y - k = (x-h)^2, where (h, k) is the vertex.  Here h = 0 and k = -4

We get:  y + 4 = (x - 0)^2, or y + 4 = x^2, or y = x^2 - 4.  As a check, let x = 0; y = -4, which is the y-coordinate of the vertex.

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Which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)?
Fantom [35]

Answer:


Step-by-step explanation:

You have to use Point Slope Form:

  • y - Y1 = m (x - X1)
  • m is the slope
  • Y1 & X1 is a point on the line
  • The form allows you to identify the slope & the point on the line

About Problem:

  • Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.
  • -3 represents X1 in y - Y1 = m (x - X1) form
  • -1 represents Y1  in y - Y1 = m (x - X1) form

y - Y1 = m (x - X1)

y - -1 = -2/3 (x - -3)  ---- This is in Point Slope Form

If you want to solve it, & put it in Slope Intercept form, it would look like this:

y = mx + b

y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...


Really really sorry if I'm incorrect...




5 0
3 years ago
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kirza4 [7]
I think the answer is (C.)
3 0
3 years ago
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I need help with question 1 please. I’ll mark brainliest
Dvinal [7]
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4 0
3 years ago
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The length of a rectangle is 10 meters more than the width. If the perimeter is 184 meters, what are the length and the width?
Brilliant_brown [7]
Perimeter = (2 × Length) + (2 × Width)

If the length is dependent on the width (because the length is 10 more than the width), we can say that L = W + 10.

To find the answer to the Peri, we have to find out what the W is first.

184 = 2(W + 10) + 2W
184 = 2W + 20 + 2W
184 = 4W + 20
184 - 20 = 4W = 164
164 ÷ 4 = W
41 = W

We have found out width. Our length is W + 10, so L = 41 + 10 = 51

W = 41 and L = 51


3 0
3 years ago
Walnut High Schools Enrollment is exactly five times as large as the enrollment at walmut junior high the total enrollment for t
Vaselesa [24]

Answer:

142

Step-by-step explanation:

If the enrollment is five times as big, then that is six different things. So, take 852 and divide it by 6 to get 142. Or in other words:

852÷6=142

142x6=856

I hope this helps. Cheers^^

6 0
3 years ago
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