Which statement about square root x-5 - square root x = 5 is true?a) x = –3 is a true solution.
b) x = –3 is an extraneous solution.
c) x = 9 is a true solution.
d) x = 9 is an extraneous solution.

Answers

Answer 1
Answer: Hello,

Answer D

√(x-5) - √(x) =5
==>(x-5) -2*√((x-5)x)+x =25
==>2x-30=√(x(x-5))
==>x-15=√(x(x-5))
==>x^2-30x+225=x(x-5)
==>225=-5x+30x
==>25x=225
==>x=9
But:

√(9-5) - √(9)=√(4) - √(9)=2-3=-1≠5

Explanation:

\lim_(x \to \infty) √(x-5)- √(x)

= \lim_(x \to \infty) \frac{(√(x-5)- √(x))*(√(x-5)+ √(x))} {√(x-5)+ √(x)}

= \lim_(x \to \infty) ((-5))/(√(x-5)+ √(x))

= \lim_(x \to \infty) (-5)/(\infty)=0


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THE ANSWER IS

<UTW and <XWY

THANKU

Need help with the question

Answers

Answer:

  a = -21

Step-by-step explanation:

Multiply the equation by the reciprocal of the coefficient of 'a'.

  (-7/6)(-6/7)a = (-7/6)(18)

  a = (-7)(18/6) = (-7)(3)

  a = -21

Answer:

I think the answer is a=-1/21

Find the value of y when x equals -11, 5x+6y=-37

Answers

5(-11)+6y=-37
-55+6y=-37
6y=18
y=3

If f(x)=2x-5, find x when f(x)=13

this is function notation

Answers

f(x)=2x-5;\ f(x)=13\n\Downarrow\n2x-5=13\n2x-5+5=13+5\n2x=18\n2x:2=18:2\n\underline{\underline{x=9}}
f(x)=2x-5\n \n f(x)=13 \rightarrow 2x-5=13\n \n 2x=13+5\n \n 2x=18\n \n x=(18)/(2)\n \n \boxed{x=9}

If the base of a rectangle is 12cm and the area is 250.8cm2 what is the height of the rectangle

Answers

250.8cm^2/12cm= 20.9cm.
the height of the rectangle is 20.9 cm
250.8cm^2/12cm = 20.9cm
the height of the rectangle is 20.9cm