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pishuonlain [190]
3 years ago
8

x^2+1/2x+1/16=4/9 Factor the perfect-square trinomial on the left side of the equation. (x + )² = 4/9

Mathematics
2 answers:
viva [34]3 years ago
8 0

Answer:

\frac{1}{4}

Step-by-step explanation:

we have

x^{2} +\frac{1}{2}x+\frac{1}{16}=\frac{4}{9}

we know that

(x+a)^{2}=x^{2}+2ax+a^{2}

in this problem

2ax=\frac{1}{2}x ------> a=\frac{1}{4}

a^{2}=\frac{1}{16} -----> a=\frac{1}{4}

so

x^{2} +\frac{1}{2}x+\frac{1}{16}=(x+\frac{1}{4})^{2}

the missing number in the left side is \frac{1}{4}


Nezavi [6.7K]3 years ago
5 0
The missing number is the square-root of the constant term on the left-hand-side, which equals sqrt(1/16)=1/sqrt(16)=1/4.
Check:
(x+1/4)^2=x^2+2*(1/4)x+(1/4)^2=x^2+x/2+1/16.   ok

Answer: x= 1/4
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2 years ago
What is the greatest common factor of 15x^3y^2 and 20x^4y^4?
Vanyuwa [196]
<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? ​</h3>

​<em>First we have to find the factors of 15x³y²</em>

<em>15x³y² = 3 * 5x³y² ​</em>

<em>​Then we have to find the factors of 20x⁴y⁴</em>

<em>​20x⁴y⁴ = 2²x¹y² * 5x³y²</em>

<em>Now we have to find the common factors to both numbers.​</em>

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6 0
3 years ago
Some one help i hate math
Daniel [21]
I would say 1/12 ft but I might be wrong.
6 0
3 years ago
Brainlist<br> Please help me
creativ13 [48]

Answer:

Yes she made an error. Explanation is below.

Step-by-step explanation:

Let the sample space for a six sided number cube be S

n(S) = \{1,2,3,4,5,6\}\\n(S) = 6

Let the event of a number getting greater than two be B

n(B) = \{3,4,5,6\}\\n(B) = 4

To find:

the probability of complement of B that is

p(~B) = ?

Solution"

First we need to solve probability for number getting greater than two

p(B) = \frac{n(B)}{n(S)}

Now substituting the values we get

p(B) = \frac{4}{6}

p(B) = \frac{2}{3}

but we need complement of B so

p(\textrm{complement of B)} = 1 - p(B)\\p(\~B) = 1 - p(B)\\p(\~B) = 1 - \frac{2}{3}\\ =\frac{1}{3} \\

P(complement of rolling a number greater than two) = \frac{1}{3}

3 0
3 years ago
4x^9y^-4 / x^8y^-6<br><br> Evaluate the expression<br><br> for x = 5 and y = 2.<br><br> ху
kramer

Answer:

80

Step-by-step explanation:

SIMP - lifiy the equation: (see what I did there :D)

4xy^2 = 4(5)(2^2) = 80

ANSWER: 80

3 0
3 years ago
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