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Andreas93 [3]
3 years ago
15

Find the value of c that makes the expression a perfect square trinomial. x2 + 4x + c

Mathematics
1 answer:
masha68 [24]3 years ago
7 0

the value of c that makes the expression a perfect square binomial is c=4 .

<u>Step-by-step explanation:</u>

Here we have , an expression x2 + 4x + c or , x^2 + 4x + c . We need to find  the value of c that makes the expression a perfect square binomial. Let's find out:

We have ,  x^2 + 4x + c

⇒ x^2+4x+c

⇒ x^2+2(2)x+c

Now , we know that (a+b)^2=a^2+2(a)(b)+b^2

Comparing above equation  , to  x^2+2(2)x+c we get ;

⇒  x^2+2(2)x+c            { c=2^2  }

⇒  x^2+2(2)x+2^2

⇒  (x+2)^2

Therefore , the value of c that makes the expression a perfect square binomial is c=4 .

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Quadrilateral ABCD is rotated 270° clockwise about the origin. What are the
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Answer:

A

Step-by-step explanation:

6 0
3 years ago
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A factory received an order for 1,758 laptops. For the first 6 days, it produced 125 laptops per day. If it was asked to finish
BartSMP [9]

Answer:

  • 252 laptops

Step-by-step explanation:

Target number is 1758

<u>Produced in 6  days:</u>

  • 6*125 = 750

<u>Remaining to produce:</u>

  • 1758 - 750= 1008

Days left- 4

<u>Should produce per day:</u>

  • 1008/4 = 252 laptops
8 0
3 years ago
Simplify without the absolute value |x+3| ; if x&gt;2
inna [77]

Answer:

x+3 if x>2

Step-by-step explanation:

Recall some following basic ideas about absolute value:

|0|=0 or I guess -(0)=0

|3|=3

|-3|=-(-3) or just 3 but there is a reason why I wrote it the way I did.

You see that the absolute value returned the same value if the value was positive.

You see that the absolute value returned the opposite value if the value was negative.

You can include 0 in either.

Let's look at |x+3| alone for a second.

*|x+3|=x+3 if x+3 is positive or zero.

When is x+3 positive or zero? [greater than or equal to 0]

x+3\ge 0

Subtract 3 on both sides

x\ge -3

*|x+3|=-(x+3) if x+3 is negative or zero.

When is x+3 negative or zero? [less or equal to 0]

x+3\le 0

Subtract 3 on both sides

x\le -3

So looking at the bullet points (the *), x>2 fits into the first inequality.

Therefore, |x+3|=x+3.

8 0
3 years ago
The following numerically ordered sequence of numbers has a mean
Vladimir79 [104]
Median =  middle number

Total ten numbers so 
median =   (17 + b)/2
given median = 18
so
(17 + b)/  2 = 18
17+b = 36
b = 36 - 17
b = 19

Now you have the data set
7, a , 12, 15 , 17, 19, 20, 22, 24 , 25

Mean =  (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24  +25)/ 10
Given mean = 17

so
17 = (7 + a + 12+ 15 +17 + 19 + 20 + 22 +24  +25)/ 10
17 = (a + 161) / 10
a + 161 = 170
a = 170 - 161
a = 9

answer
a = 9
b = 19
7 0
3 years ago
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Pleeeeeeeeeaaase help
Zinaida [17]
The correct answer is 110 degrees

The value of X is 115
If we substitute X, then the “equation” would be (115)-5=110 degrees :))))
5 0
3 years ago
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