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taurus [48]
4 years ago
15

two sides of an equilateral triangle measure (2y+3) units and (y^2 -5) units. if the perimeter of the triangle is 33 units, what

's the value of y?
Mathematics
2 answers:
eimsori [14]4 years ago
3 0
The answer would be -17y.
ANTONII [103]4 years ago
3 0
Multiply 2y+3 by three to make the sides of the triangle. Then set that equal to 33. This should give you y.

3(2y+3)=6y+9. 6y+9=33 6y=24 y=4
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Kazeer [188]
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4 0
4 years ago
Derive the equation of the parabola with a focus at (-2,4) and a directrix of y=6 . Put the equation in standard form
Maru [420]

Answer:

y =  -  \frac{1}{4}  {(x + 2)}^{2}  + 5

Step-by-step explanation:

The vertex of this parabola is the midpoint of the focus (-2,4) and where the directrix intersects the axis of symmetry of the parabola (-2,6)

This parabola must open downwards due to the position of the directrix and has equation of the form:

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where (h,k) is the vertex.

This implies that:

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and

k =  \frac{4 + 6}{2}  = 5

The value of p is the distance from the vertex to the focus:

p =  |6 - 5|  = 1

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Or

y =  -  \frac{1}{4}  {(x - 5)}^{2}  + 5

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