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WINSTONCH [101]
3 years ago
9

Keisha has a straightedge and a compass, but noprotractor. What kind of angle can Keisha draw exactly with only these tools?

Mathematics
1 answer:
sukhopar [10]3 years ago
5 0
<span>Straight (it's a straight line!), full rotation (a circle), but nothing else since you can't measure the exact angle of it</span>
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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.

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2 years ago
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Answer:

Area is 10x^2 - 4x + 6

Step-by-step explanation:

To find this area, multiply the width and height together:

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netineya [11]
There are 52 weeks in a year and if she gets paid every two weeks then divide 52 by 2 to get 26 so she would get paid 26 times a year so divide her annual salary by 26 to get $1,346.15 every other week. So her biweekly salary is $1,346.15.
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3 years ago
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mina [271]

Answer:

True

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Like terms like 4x-3x the x term. is a like term

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High Hopes^^

Barry-

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