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VMariaS [17]
2 years ago
14

Find the value of c that makes z2 - 5z + c a perfect square trinomial.

Mathematics
1 answer:
pogonyaev2 years ago
5 0

Answer:

  • c = 6.25

Step-by-step explanation:

<u>Given trinomial:</u>

  • z² - 5z + c

<u>Complete square:</u>

  • z² - 2*2.5*z + 2.5² + c - 2.5² =
  • (x - 2.5)² + c - 6.25

<u>The value of c:</u>

  • c - 6.25 = 0
  • c = 6.25
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a sixth grade class has 12 boys and 24 girls consider this statement: &lt;br /&gt;for every two boys there are 4 girls do you ag
Nitella [24]
So the ratio of boys to girls is 12:24.. now, is that an equivalent ratio as 2 boys for 4 girls? or 2:4?  let's see.

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you could start simplifying the 12/24 fraction by dividing by some common multiple, say 2, and get 6/12, then divide by 3 and get 2/4  and stop there.

then you'll notice that 12/24 is really 2/4 in disguise.
4 0
3 years ago
A 2.2 kg ball strikes a wall with a velocity of 7.4 m/s to the left. The ball bounces off with a velocity of 6.2 m/s to the righ
Naya [18.7K]

Answer:

The constant force exerted on the ball by the wall is 119.68 N.

Step-by-step explanation:

Consider the provided information.

It is given that the mass of the ball is m = 2.2 kg

The initial velocity of the ball towards left is 7.4 m/s

So the momentum of the ball when it strikes is = 2.2\times 7.4=16.28

The final velocity of the ball is -6.2 m/s

So the momentum of the ball when it strikes back is = 2.2\times -6.2=-13.64

Thus change in moment is: 16.28-(-13.64)=29.92

The duration of force exerted on the ball t = 0.25 s

Therefore, the constant force exerted on the ball by the wall is:

\frac{29.92}{0.25}=119.68

Hence, the constant force exerted on the ball by the wall is 119.68 N.

6 0
4 years ago
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katovenus [111]
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3 years ago
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Nookie1986 [14]

Answer:

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Step-by-step explanation:

3(2x+5)=4x+21

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-4x            -4x

2x+15= 21

     -15    -15

2x=6

2     2

<h2>x=3                          Hope that helped!!!!</h2>
6 0
3 years ago
Andrew buys 4 books for the same price, and also a video for $18. His total bill was $110. What was the cost of a book
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First you would subtract 18 from 110 and get a result of 92 then divide by 4 and get 23 so each book is 23 dollars hope this helps mark as brainlist
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3 years ago
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