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frosja888 [35]
2 years ago
6

I need help NOW !!!!!!!!

Mathematics
1 answer:
Montano1993 [528]2 years ago
3 0

Answer:

x=1~ \text{and}~ x = -6~ \text{but}~ -6 ~\text{is extraneous.}

Step by step explanation:

2-x  = 3-\sqrt{7-3x}\\\\\implies  \sqrt{7-3x} = 3-2+x\\\\\implies \sqrt{7-3x} = 1+x\\\\\implies 7-3x = (1+x)^2\\\\\implies 7-3x=1+2x+x^2\\\\\implies x^2+3x+2x+1-7=0\\\\\implies x^2+5x -6 =0\\\\\implies x^2+ 6x-x -6=0\\\\\implies x(x+6)-(x+6)=0\\\\\implies (x-1)(x+6)=0\\\\\implies x =1~~, x = -6

x=-6~ \text{Doesn't satisfy  the original equation, so it is  an extraneous solution.}

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seagull is flying at 125 feet above sea level. A dolphin is swimming 23 feet below sea level. What is the distance in feet betwe
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Answer:

102 feet.

Step-by-step explanation:

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3 years ago
URGENT: If θ is a second-quadrant angle and cosθ = -2/3, then tanθ = _____.
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In the second quadrant, both cos and tan are negative while only sin is positive.

To find tan, we will use the following property below:

\large \boxed{ {tan}^{2}  \theta  =  {sec}^{2}   \theta - 1}

Sec is the reciprocal of cos. If cos is a/b then sec is b/a. Since cos is 2/3 then sec is 3/2

\large{ {tan}^{2}  \theta =  {( -  \frac{3}{2}) }^{2}  - 1} \\   \large{ {tan}^{2}  \theta =   \frac{9}{4}  - 1} \\   \large{ {tan}^{2}  \theta = \frac{9}{4}   -  \frac{4}{4} \longrightarrow  \frac{5}{4}  } \\  \large{tan \theta =  \frac{ \sqrt{5} }{ \sqrt{4} } } \\  \large \boxed{tan \theta =  \frac{ \sqrt{5} }{2} }

Since tan is negative in the second quadrant. Hence,

\large{ \cancel{ tan \theta  =  \frac{ \sqrt{5} }{2} } \longrightarrow \boxed{tan \theta =  -  \frac{ \sqrt{5} }{2} }}

Answer

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3 0
3 years ago
Solve for h. You are working to save money for a video game console. You need to save $500. You already have $200 saved. You wor
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Answer:

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Step-by-step explanation:

First you need to make an equation

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Then you solve it by:

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3 years ago
Carla uses a compass and straightedge to construct perpendicular lines. Daryl uses technology to construct perpendicular lines.
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Answer:

Carla used human accuracy to create perpendicular lines.

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Daryl, used technological ease to create perpendicular lines.

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Step-by-step explanation:

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The table shows the steps for solving the given inequality 4-3(x-5)>6x-17
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