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3 years ago

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25 POINTS

1 answer:

Semenov [28]3 years ago

5 0

If the slope of AB = CD and BC = AD it's a parallelogram:

Slope of AB = 6+1 / -9+5 = -7/4

CD = -2-5 / 3+1 = -74

These are equal.

BC = 5-6 / -1 +9 = -1/8

AD = -2 +1 / 3+5 = -1/8

These are also equal so it is a parallelogram.

Now to find if the diagonals are perpendicular find the slope of the perpensicular points:

AC = 5 +1 / -1 +5 = 6/4 = 3/2

BD = 6+2 / -9 -3 = 8/-12 = -2/3

Because BD is the reciprocal of AC, this means they are perpendicular.

And because AB is not perpendicular to AD ( AB and AD are not reciprocals) it is a rhombus.

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1 year ago

What is the surface area of this prism? A. 976 cm2 B. 960 cm2 C. 488 cm2 D. 736 cm2

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Step-by-step explanation:

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3 years ago

A hose filling a pool discharges water at a rate of 4L per minute. How long in hours does it take to fill a pool with a 300L cap

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3 years ago

A bacteria culture contains 1500 bacteria initially and doubles every hour. (a) Find a function N that models the number of bact

Tpy6a [65]

Answer: a) $N(t)=1500(2)^t$

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Step-by-step explanation:

The exponential equation for growth is given by :-

$y= ab^t$ , where a= initial value , b =multiplicative growth factor and t = time.

Given : A bacteria culture contains 1500 bacteria initially and doubles every hour.

i.e. a = 1500 and b= 2

Then, the function N that models the number of bacteria after t hours will be :

$N(t)=1500(2)^t$

To find , the number of bacteria after 24 hours , we put t= 24 in above equation , we get

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Hence, the number of bacteria after 24 hours is 25165824000.

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3 years ago

-5/6x-7/30x+1/5x-52 please help me guys cuz imk not good with math

Marina CMI [18]

Answer:

$\frac{-13}{15} x-52$

Step-by-step explanation:

$\frac{-5}{6}x-\frac{7}{30}x+\frac{1}{5}x-52$

$=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52$

Combine Like Terms:

$=\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x+-52$

$=(\frac{-5}{6}x+\frac{-7}{30}x+\frac{1}{5}x)+(-52)$

$=\frac{-13}{15}x+-52$

Therefore, $\frac{-13}{15}x+-52$ will be your final answer.

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2 years ago