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4 years ago

Show that X^2-8x+20 can be written in the form (x-a)^2+a

Mathematics

1 answer:

svlad2 [7]4 years ago

8 0

Answer:x^2 + 8x + 20

a = 1

b = 8

c = 20

Discriminant = b^2 - 4ac

=> 8^2 - 4(1)(20)

=> 64 - 80

=> -16

As -16<0

So, equation has no real roots

I hope this will help you

(-:

Step-by-step explanation:

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1.2million users of social media via mobile devices were added each day. How many users added on an average each second

Pachacha [2.7K]

Answer: 14 new users are added per second

Step-by-step explanation:

1,200,000/24 = 50000

50000/60 = 833.333333333

833.333333333/60 = 13.8888888889

then round because it said on average

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3 years ago

With three boys on a large scale, it read 170 pounds. When Adam stepped off, the scale read 100 pounds. When both Adam and Ben s

Elden [556K]

Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

Step-by-step explanation:

We can work out some equations based on the given information:

We can call the boys A, B and C

so,

when all three boys are standing on the scale, it reads 170 pounds.

$A + B + C = 170$ - Eq(1)

when Adam stepped off, the scale reads 100. This means that the combined weight of the remaining two boys is 100.

$B + C = 100$ - Eq(2)

when both Adam and Ben stepped off, the weight of the remaining boy is shown on the scale.

$C = 60$

So we already knew the weight of boy C. (it was in the question all along)

$C = 60$ pounds

<u>Now to find the individual weights of the remaining boys, we can work our way backwards</u><u> </u>

we can put this value back in Eq(2), to find the weight of boy B.

$B + C = 100$

$B + 60 = 100$

$B = 100 - 60$

$B = 40$

the

the weight of boy B (Ben) is $B = 40$ pounds

now we can put all of the known weights of the boys in Eq(1) to find the weight of Boy A.

$A + B + C = 170$

$A + 40 + 60 = 170$

$A + 100 = 170$

$A = 170 - 100$

$A = 70$

the weight of boy A (Adam) is $A = 70$ pounds

The Answer:

Adam = 70 pounds

Ben = 40 pounds

C = 60 pounds

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4 years ago

Barry put all of the tiles shown below into a bag, then randomly pulled out one round one and one square one. What is the probab

MArishka [77]

Answer:

B. 1/15

Step-by-step explanation:

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3 years ago

Parallel Lines Practice NO LINKS PLEASE and please explain this for me so i can understand

deff fn [24]

Answer:

Step-by-step explanation:

As those two lines are parallel, we can express and equation:

$2x + 10 = 5x - 35$

$5x - 2x = 10 + 35$

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2 years ago

there are approximately 202 gallons per cubic yard of water write and solve an equation for the number of gallons of water to fi

Setler [38]

The Volume of the Swimming pool is : 1161 cubic feet

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Let us first change 1 cubic yard into 1 cubic feet

We know 1 yard = 3 foot

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Answer : 26058 gallons of water is required to fill the swimming pool .

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3 years ago