Mathematics, 28.06.2019 18:30 aubrey13m

Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used match the equations representing parabolas with their directrixes

Drag the tiles to the correct boxes to complete the pairs.not all tiles will be used match the equat

Answers: 3

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Answer from: alanisalvarez2000

y=-8.08 -------> $y+8=3(x+2)^{2}$

y=14.25 -------> $y-14=-(x-3)^{2}$

y=-7.625 -----> $y+7.5=2(x+2.5)^{2}$

y=17.25 -------> $y-17=-(x-3)^{2}$

y=-7.25 -------> $y+7=(x-4)^{2}$

y=6.25 -------> $y-6=-(x-1)^{2}$

Step-by-step explanation:

we know that

The standard form of a vertical parabola is equal to

$(x-h)^{2}=4p(y- k)$

where

(h,k) is the vertex

the focus is (h, k + p)

and

the directrix is y = k - p

Part 1) we have

$y+8=3(x+2)^{2}$

Convert to standard form

$(x+2)^{2}=(1/3)(y+8)$

The vertex is the point (-2,-8)

h=-2,k=-8

4p=1/3

p=1/12

the directrix is equal to

y = k-p -----> y=-8-(1/12)=-8.08

Part 2) we have

$y-14=-(x-3)^{2}$

Convert to standard form

$(x-3)^{2}=-(y-14)$

The vertex is the point (3,14)

h=3,k=14

4p=-1

p=-1/4

the directrix is equal to

y = k-p -----> y = 14-(-1/4)=14.25

Part 3) we have

$y+7.5=2(x+2.5)^{2}$

Convert to standard form

$(x+2.5)^{2}=(1/2)(y+7.5)$

The vertex is the point (-2.5,-7.5)

h=-2.5,k=-7.5

4p=1/2

p=1/8

the directrix is equal to

y = k-p -----> y=-7.5-(1/8)=-7.625

Part 4) we have

$y-17=-(x-3)^{2}$

Convert to standard form

$(x-3)^{2}=-(y-17)$

The vertex is the point (3,17)

h=3,k=17

4p=-1

p=-1/4

the directrix is equal to

y = k-p -----> y = 17-(-1/4)=17.25

Part 5) we have

$y+7=(x-4)^{2}$

Convert to standard form

$(x-4)^{2}=(y+7)$

The vertex is the point (4,-7)

h=4,k=-7

4p=1

p=1/4

the directrix is equal to

y = k-p -----> y=-7-(1/4)=-7.25

Part 6) we have

$y-6=-(x-1)^{2}$

Convert to standard form

$(x-1)^{2}=-(y-6)$

The vertex is the point (1,6)

h=1,k=6

4p=-1

p=-1/4

the directrix is equal to

y = k-p -----> y=6-(-1/4)=6.25

Drag the tiles to the correct boxes to complete the pairs.not all tiles will be used match the equat

Answer from: Quest

Okay so it will be 1123
Which system of linear inequalities is represented by the graph? y > 2x – 1 and y < 2x + 2y

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

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