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algol [13]
3 years ago
8

Which number produced an irrational number by 1/4

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
3 0
Your answer would be option D, as irrational numbers cannot be expressed as simple fractions and cannot include repeated numbers like option A, so option D is the only number that is irrational and can be added to 1/4 to remain irrational.
I hope this helps!
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Give the values of a, b, and c needed to write the equation's general form.<br>1/4x^2+5=0
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Let's solve your equation step-by-step.

\frac{1}{4} x^2+5=0

For this equation: a=0.25, b=0, c=5

0.25x^2 + 0x + 5 = 0

Step 1: Use quadratic formula with a=0.25, b=0, c=5.

x = \frac{-b ± \sqrt{b^2 - 4ac} }{2a}

x = \frac{-(0) ± \sqrt{(0)^2 -4 (0.25) (5)  } }{2(0.25)}

x = \frac{0 ± \sqrt{-5} }{0.5}

Answer : No Real Solutions.

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If this helped you, could you maybe give brainliest..?

Also Have a great day/night!

❀*May*❀

5 0
3 years ago
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid
enot [183]

Answer:

the distance is 17

5 0
3 years ago
Read 2 more answers
If tan tetha =8/15,find the value of sin tetha+cos tetha all divided by cos tetha (1-cos tetha)​
Dahasolnce [82]

Answer:  195.5 or 12 7/32

Step-by-step explanation:

There is no letter tetha in the table so I use α instead. However it is not sence to final result.

The expression is:

(sinα+cosα)/(cosα*(1-cosα))

Lets divide the nominator and denominator by cosα

(sinα/cosα+cosα/cosα)/(cosα*(1-cosα)/cosα)= (tanα+1)/(1-cosα)=

=(8/15+1)/(1-cosα)= 23/(15*(1-cosα))    (1)

As known cos²α=1-sin²α   (divide by cos²α both sides of equation)

cos²a/cos²α=1/cos²α-sin²α/cos²α

1=1/cos²α-tg²α

1/cos²α=1+tg²α

cos²α=1/(1+tg²α)

cosα=sqrt(1/(1+tg²α))= +-sqrt(1/(1+64/225))=+-sqrt(225/(225+64))=

=+-sqrt(225/289)=+-15/17   (2)

Substitute in (1) cosα  by (2):

1st use cosα=15/17

1) 23/(15*(1-cosα)) =23/(15*(1-15/17))= 23*17/2=195.5

2-nd use cosα=-15/17

2)23/(15*(1-cosα)) =23/(15*(1+15/17))= 23*17/32=12 7/32

7 0
3 years ago
What single percentage change is equivalent to a 11% increase followed by a 15% increase?​
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Answer:

It's a total increase by 27,65%

Step-by-step explanation:

1,11 × 1,15 = 1,2765

1,2765 = +27,65%

7 0
2 years ago
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