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4 years ago

Someone help me with this

Mathematics

1 answer:

melamori03 [73]4 years ago

4 0

Equation = -2/3

i’m not sure if i’m correct but here’s my answer !

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

Angelina_Jolie [31]

Hello.

A trinomial is a perfect square if the square root of the first term times the square root of the third term times 2 equals the middle term.

$\boxed{\mathsf{x^{2} + \dfrac{2}{3} x}}$

a) Adding 1/9:

$\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{1}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{1}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2}{3} x \rightarrow it \: is \: a \: perfect \: square \: trinomial}$

b) Adding 4/9:

$\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{4}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{4}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{2}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{4}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}$

c) Adding 4 and 1/9:

$\cdot \: \mathsf{x^{2} + \dfrac{2}{3} x + \dfrac{1}{9} + 4 = x^{2} + \dfrac{2}{3} x + \dfrac{37}{9}} \\ \\ \\ \mathsf{\sqrt{x^{2}} \times \sqrt{\dfrac{37}{9}} \times 2 =} \\ \\ \\ \mathsf{x \times \dfrac{\sqrt{37}}{3} \times 2 =} \\ \\ \\ \mathsf{\dfrac{2\sqrt{37}}{3} x \rightarrow it \: is \: not \: a \: perfect \: square \: trinomial}$

Hope I helped.

3 0

3 years ago

PLEASE HELP!!!!

dezoksy [38]

Answer:

I beleive A is quadratic, but im not sure

Step-by-step explanation:

8 0

4 years ago

Michelle has some dimes and quarters. If she has 22 coins worth a total of $2.50, how many of each type of coin does she have?

GrogVix [38]

Answer:

DIMES: 5 Quarters: 8

Step-by-step explanation:

She could have 5 dimes because we know 1 dime is 10 cents,and we know 5*10=50. And we can have 8 quarters because we know 4 quarters is $1.00,and 8 quarters would be $2.00. 2.00+.50=2.50.

6 0

3 years ago

What should be subtracted from 5/8 to make it -1

user100 [1]

Answer:

13/8

Step-by-step explanation:

let the number be x

5/8 - x = -1

-x = -1 - 5/8

-x = - 13/8

x = 13/8

5/8- 13/8 = -1

5 0

2 years ago

Read 2 more answers

Mia and mai want to to rent a canoe at the boat house on the river. it cost $6.95 to rent a canoe for 1 hour. the price per hour

stiv31 [10]

The answer is $25.35
6.96× 3= 20.85
20.85+ 4.50= $25.35

7 0

4 years ago