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sladkih [1.3K]
3 years ago
8

Which of the following constants can be added to x^2 + 2/3x to form a perfect square trinomial?

Mathematics
2 answers:
morpeh [17]3 years ago
6 0
Take 1/2 of the linear coefient and square it

2/3 times 1/2=1/3
square 1/3 to get 1/9

the constnat is 1/9
it would factor to (x+1/3)^2
LenaWriter [7]3 years ago
5 0

Answer:

\frac{1}{9}  is to be added to make x^2+\frac{2}{3}x  a perfect square trinomial as (x+\frac{1}{3})^{2}

Step-by-step explanation:

Given : x^2+\frac{2}{3}x  

We have to find what can be added to  x^2+\frac{2}{3}x to form a perfect square trinomial.

Perfect square trinomial is of the form (a+b)^2

Consider the given expression x^2+\frac{2}{3}x

Using algebraic identity (a+b)^2=a^2+b^2+2ab ,

Comparing , we get,  a = x ......(1)

2ab=\frac{2}{3}x

Uisng (1) , we get,

2b=\frac{2}{3} \\\\ \Rightarrow b=\frac{1}{3}

To make it  a perfect square trinomial we need to add b^2 term

b^2=\frac{1}{9}

Thus, \frac{1}{9}  is to be added to make x^2+\frac{2}{3}x  a perfect square trinomial as (x+\frac{1}{3})^{2}

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Please answer this correctly
Over [174]

Answer:

54 9/10

Step-by-step explanation:

The perimeter is the sum of all the sides

13 1/4 + 12 1/5 + 18 1/4 + 11 1/5

Add up the whole numbers

13+12+18+11 = 54

1/4+1/5+1/4+1/5

2/4+2/5

1/2+2/5

Get a common denominator

1/2*5/5 + 2/5*2/2

5/10 +  4/10

9/10

Add them back together

54 9/10

4 0
3 years ago
Can i have the answer to this <br> pic is below
eduard

Answer:

question 1: m = 3/2

question 2: m = 1/95

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

____________________________________

given

y = 3/2 x

comparing it with y = mx+c

we have m = 3/2 .

since y = 3/2 x does not have constant term so it can be taken as 0. hence c is 0

_________________________________________

slope for any two point (x1,y1) and (x2,y2) on coordinate plane is given by

slope = (x2-x1)/y2-y1)

From the given table lets take two point as (2,190) and(4,380)

Thus, slope m is given by

m = (4-2)/(380-190) = 2/190 = 1/95

m = 1/95

Though, slope can be taken by dividing y by x (y/x). It is good practice to use two point form formula as given above . Provided two points are given

Please mark it the brainliest.

4 0
3 years ago
Simplify each expression using the distributive property <br><br>9(-7q-6)​
hammer [34]

Answer:

-63q-54

Step-by-step explanation:

When using the distributive property, you multiply everything inside of the parentheses by the number outside of the parentheses.

9(-7q-6)

-63q-54

Hope this helps, and have a great day o(* ̄▽ ̄*)ブ

5 0
3 years ago
56y - 8 in Distributive Property
FromTheMoon [43]

Answer:

8 ( 7 − 1 )

Step-by-step explanation:

Find the common factor.

4 0
3 years ago
NEED HELP ASAP PLEASE WILL GIVE BRAINLYEST
Tomtit [17]

Answer:

True

Step-by-step explanation:

One is the opposite of the other

8 0
3 years ago
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