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3 years ago

Is the square root of 96 rational or irrational

1 answer:

5 0

The square root of 96 would be irrational, because it is not a perfect square only perfect squares (100 and 400 etc.) are rational.

Square root of 96= 9.797958971 This is not rational

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Ln x + ln (x + 1) = ln 56

Leni [432]

Answer:

x=7

Step-by-step explanation:

ln x +ln(x+1)=ln 56

ln x(x+1)=ln 56

so x(x+1)=56

x^2+x-56=0

(x+8)(x-7)=0

x= -8 or x=7

and lnx,x>0

so x=7

3 0

3 years ago

Is -14/3 greater than -4

ser-zykov [4K]

Answer:

greater then

Step-by-step explanation:

4 0

3 years ago

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1. whats the midpoint between (7,3) and (-3,-1)

Elanso [62]

Answer:

(2, 1 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( $\frac{x_{1}+x_{2} }{2}$ , $\frac{y_{1}+y_{2} }{2}$ )

Here (x₁, y₁ ) = (7, 3) and (x₂, y₂ ) = (- 3, - 1) , then

midpoint = ( $\frac{7-3}{2}$ , $\frac{3-1}{2}$ ) = ( $\frac{4}{2}$ , $\frac{2}{2}$ ) = (2, 1 )

5 0

3 years ago

Find exact value for cos(pi/16)

stellarik [79]

The exact value for cos(pi/16) would be :

cos (pi/16) = +/- √1+cosa/2

cos (pi/4) = sqrt2/2

Hope this helps

6 0

3 years ago

What number must be added to the expression below to complete the square?

stiv31 [10]

D. 1/4

Explanation:

a perfect square is written in the form

$(x+a)^2 = x^2 + 2ax +a^2$ (1)

In our problem, we have this perfect square:

$x^2 - x + C$ (2)

with C being unknown. However, by comparing (1) and (2), we know that

$2a=-1$

So, we find

$a=-\frac{1}{2}$

and therefore, the missing term must be

$a^2 = \frac{1}{4}$

so the complete square is

$x^2 -x +\frac{1}{4}$

7 0

3 years ago

Read 2 more answers