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dusya [7]
2 years ago
13

Question 10 of 25

Mathematics
1 answer:
nataly862011 [7]2 years ago
6 0

Answer: Your answer should be A

Step-by-step explanation: The line with a open hole will not have an equal sign where a closed hole will.

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Using a directrix of y = −3 and a focus of (2, 1), what quadratic function is created?
Lelechka [254]

Answer:

  y=\dfrac{1}{8}(x-2)^2-1

Step-by-step explanation:

The distance between the focus and the directrix is the vertical distance from the point to the line:

  1 -(-3) = 4

The vertex is half that distance between the point and the line, so is at x=2 and ...

  y = (-3 +1)/2 = -1

The vertical scale factor of the quadratic is 1/(4p) where p is the distance from vertex to focus. Here, that distance is 2, so the equation in vertex form is ...

  y = (1/(4·2))(x -2)² -1

  y = (1/8)(x -2)² -1

_____

<em>Check</em>

Any point on the parabola is equidistant from the focus and directrix. This is easily checked at the vertex, which is halfway between focus and directrix, and at the points having the same y-value as the focus. Those two points are (-2, 1) and (6, 1), both of which are 4 units from the focus and 4 units from the directrix.

5 0
2 years ago
Which of the following is the solution set of -2|x| &lt; -8
Tema [17]

Answer:

{x| x < -4\:or\: x > 4}

Step-by-step explanation:

−2|x| < −8 ↷

−2x > 8 −2x < −8

___ __ ___ ___

−2 −2 −2 −2

-4 > x OR 4 < x

Whenever you multiply\divide by a <em>negative</em>, you reverse the inequality symbol.

I am joyous to assist you anytime.

3 0
3 years ago
X-5y=2 and 4x+2y=8 using elimination
kobusy [5.1K]

Answer:

y=0  x=2

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
SOMEONE PLEASEEEE HELPPPP?!?!?!?!!?
Zarrin [17]

Answer:

Step-by-step explanation:

Top/Bottom = 12

Sides = 15

Front/Back = 20

20 + 15 + 12 = 47

47 / 1/2 = 23.5

8 0
3 years ago
Find the sum of -75 and 105​
Elan Coil [88]

Answer:

Sum is 30

Explanation:

6 0
3 years ago
Read 2 more answers
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