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tekilochka [14]
3 years ago
10

What is the value of n so that the expression x^2+12X+n is a perfect square trinomial?

Mathematics
2 answers:
DochEvi [55]3 years ago
7 0

Answer:

value of n is 36

Step-by-step explanation:

x^2+12x+n

To make perfect square trinominal , apply completing the square method

Take the coefficient of middle term, divide by 2 and square it

then add the square to make perfect square

x^2+12x+n

12 divide by 2 is 6

square of 6 is 36

Now add 36 to make perfect square

x^2+12x+36

(x+6)(x+6)

(x+6)^2

Anton [14]3 years ago
4 0
N is equal = 36

Or

n = 6^2

Because,

x^2 + 12x + 36 = x^2 + 2.6x + 6^2

= ( x + 6)^2

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Ierofanga [76]

Here's the solution,

The given figure is of a parallelogram,

and we know that opposite sides of a parallelogram are equal, so

=》

y + 19 = 2y

=》

19 = 2y - y

=》

y = 19

and,

=》

2x - 8 = x + 16

=》

2x - x = 16 + 8

=》

x = 24

hence, the values are :

x = 24

y = 19

7 0
3 years ago
If x + y = 5 and at the same time 2x - y = 7. find the value of x
Fed [463]

Answer:

x = 2y − 2

Step-by-step explanation:

x + y + 5 = 2x - y + 7

−x + y + 5 = −y + 7

−x + 5 = −2y +7

−x = −2y + 2

x = 2y − 2

5 0
2 years ago
Item 3
Kruka [31]

Answer:

The given  system as (3,3) as its solution.

Step-by-step explanation:

Here, the given system of the equation is:

4 x + 2 y = 18 ................  (1)

2 x + 3 y = 15      ...............  (2)

Now, to use the elimination method, w need to eliminate any of the variable.

Eliminate the variable x in the given system.

Multiply equation (2) with -2  we get,

(2 x + 3 y = 15  )(-2) ⇒ -4x - 6y = -30  .......  (3)

Add (1) and (3), we get:

4 x + 2 y   -4x - 6y    = 18  -30

or, - 4 y = - 12

or, y =  12/4 = 3    ⇒ y = 3

Putting in (1), we get

4x + 2(3)   = 18  or, 4x    = 18 - 6 = 12

or, x  = 3

(x,y)  = (3,3)

Hence, the above system as (3,3) as its solution.

6 0
3 years ago
In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as
nika2105 [10]

Answer:

The value of the car in very nice condition is $28,500.

Step-by-step explanation:

Consider the provided information.

In 1955 an antique car that originally cost 3,943 is valued at 64,125 if in excellent condition, winch is 2 1/4 times as much as a car in very nice condition.

The mixed fraction can be written as:

2 \frac{1}{4}=\frac{9}{4}

Let x is the value of car in very nice condition.

64,125 =\frac{9}{4}x

x=\frac{64,125\times 4}{9}

x=28,500

Hence, the value of the car in very nice condition is $28,500.

7 0
3 years ago
PLEASE HELP QUICKLY!!
choli [55]

Answer:

By excluding (10, 15), a better description can be given for the data set.

Step-by-step explanation:

Overall, this data seems to suggest a decreasing trend.  The value (10, 15) is an outlier; if we remove it, the trend appears to be stronger.  Thus if we exclude this value we can give a better description of the data set.

6 0
3 years ago
Read 2 more answers
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