2 years ago

The first person to answer this gets brainliest

Mathematics

1 answer:

shusha [124]2 years ago

8 0

Answer:

Step-by-step explanation:

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Find the vertex, focus, and directrix. y = 1/24(x+1)² - 3.

Vedmedyk [2.9K]

$y = \frac{1}{24}(x+1)^2 - 3\\\\y+3 =\frac{1}{24}(x+1)^2\ \ / *24\\\\ (x+1)^2 = 24(y+3)$

This is an equation of a parabola that opens upwards.

$Its \ standard \ form: \\(x-h)^2=4p(y-k)\\ (h,k)=(x,y) \ coordinates \ of \ the \ vertex\\\ (h,k)=(-1,-3) \\\\axis \ of \ symmetry: \ x= -1\\ \\4p=24\ \ /:4\\p=6$

$focus:(h,k+p)=(-1,-3+6)=(-1,3) \\ \\directrix: \ y=k-p=-3-6=-9$

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3 years ago

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Arrange the rational numbers −7/10, 5/−8, 2/−3in ascending order.

lilavasa [31]

Answer:

-8 / -7 / -3 / 2 / 5 / 10

Step-by-step explanation:

you have to arrange all the numbers from the smallest number to the greatest number, but in negative, always bigger number are considered small.

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3 years ago

Ms. Martinez bought 36-pint sized containers of strawberry yogurt. How many gallons is that?

BabaBlast [244]

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4.5 gallons

Step-by-step explanation:

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3 years ago

Can you help look at the photo above

dmitriy555 [2]

Answer:

Step-by-step explanation:

3-3 is 0

0 is greater than -7

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2 years ago

stiv31 [10]

Answer:

Step-by-step explanation:

Hello There!

The y value of ABC was subtracted by 7 to get to the figure A'B'C'

So the rule for the given transformation would be

(x,y) ---> (x,y-7)

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3 years ago