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3 years ago

Hurry 50 points for correct answer

Mathematics

1 answer:

Ad libitum [116K]3 years ago

4 0

Answer: "7 is a solution to the original equation. The value –1 is an extraneous solution."

Step-by-step explanation:

The equation $x=\sqrt{6x+7}$ can be solved by squaring both sides:

$x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0$

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

$1 = \sqrt{-1}\\ 7 = \sqrt{49}$

The square root of 49 equals 7, but the square root of -1 is an imaginary number.

The correct choice is "7 is a solution to the original equation. The value –1 is an extraneous solution."

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3 years ago

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3 years ago

Read 2 more answers

Line bc is represented by 3x+2y=8 line ad is represented by -3x-2y=6 what is the relationship of line bc to line ad explain the

Bas_tet [7]

Answer:

The answer is below

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b

where m is the slope of the line and b is the y intercept (value of y when x = 0).

Given the equation of two lines as $y=m_1x+b_1\ and\ y=m_2x+b_2$ , the two lines are parallel to each other if $m_1=m_2$ . Also the lines are perpendicular if

$m_1m_2=-1$

Given line BC:

3x + 2y = 8

2y = -3x + 8

y = -3x/2 + 4

Hence the slope of the line BC = -3/2

For line AD:

-3x - 2y = 6

-2y =3x + 6

y = -3x/2 - 3

Hence the slope of line AD is -3/2

Since both line BC and AD have equal slope (-3/2), hence both lines are parallel to each other

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2 years ago