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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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|-19+9|/3-|14-22|/9<br> give me an answer
MArishka [77]

Answer:22/

9

= 2 4/

9

≅ 2.4444444

Step-by-step explanation:

Add: -19 + 9 = -10

Absolute value: abs(the result of step No. 1) = abs(-10) = 10

Divide: the result of step No. 2 / 3 = 10 / 3 = 3.3333333333333 = 10/

3

Subtract: 14 - 22 = -8

Absolute value: abs(the result of step No. 4) = abs(-8) = 8

Divide: the result of step No. 5 / 9 = 8 / 9 = 0.88888888888889 = 8/

9

Subtract: the result of step No. 3 - the result of step No. 6 = 10/

3

- 8/

9

= 10 · 3/

3 · 3

- 8/

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= 30/

9

- 8/

9

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6 0
2 years ago
1. How can you find the decimal forms of 3/12 and 2/9?
Helga [31]

Answer:

1. 0.472

2. 0.25

Step-by-step explanation:

1. reduce the fraction with 3 = 1\4 + 2\9

write all numerators above the Least common denominator 36 =9 + 8\36

Add numbers = 17\36 and the alternate form is 0.472

2. Divide the numerator and denominator by three = 3 ÷ 3\12 ÷ 3 = 0.25

I can't do the others now I have an exam(sorry)

6 0
3 years ago
The equation cos−1 = x can be used to determine the measure of angle BAC.
Sergio [31]

we know that

in the right triangle ABC

the value of cosine of angle x is equal to

cos(x)=\frac{AC}{AB}

we have

AC=3.4\ cm\\AB=10\ cm

substitute the values

cos(x)=\frac{3.4}{10}=0.34

Find the measure of angle x

x=cos(x)^{-1} =arc\ cos(0.34)=70.12\°

Round to the nearest whole degree

x=70\°

therefore

<u>the answer is</u>

70\°


5 0
3 years ago
Read 2 more answers
Which Mean Absolute Deviation represents more consistency? 15.2 or 10.9
Firdavs [7]

Answer:

10.9

Step-by-step Explanation:

The Mean Absolute Deviation of a given data set tells us how far apart, on average, each data value is to the mean of the data set.

The smaller the Mean Absolute Deviation of a given data set is, the closer each data value is to the mean. This also implies less variability of the data set.

Invariably, the smaller the M.A.D, which connotes less variability, the more consistent the data set is.

Therefore, a M.A.D of 10.9 represents more consistency than a M.A.D of 15.2

3 0
3 years ago
Uma is paid $12.25 for each chair she decorates. Last week she
Luda [366]

Answer:

$514.50

Step-by-step explanation:

7+4+2+8=21

$12.25x21=$514.50

6 0
3 years ago
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