2 years ago

What are the values of x in the equation x(x-6)=4(x+6)?

1 answer:

Kitty [74]2 years ago

5 0

$x(x-6)=4(x+6)\\
x^2-6x=4x+24\\
x^2-10x-24=0\\
x^2+2x-12x-24=0\\
x(x+2)-12(x+2)=0\\
(x+2)(x-12)=0\\
x=-2 \vee x=12$

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Maru [420]

Use the distance formula

$d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2$

Input corresponding numbers

$d = \sqrt {\left( {2- 6} \right)^2 + \left( {5-8} \right)^2$

Solve

$d = \sqrt {\left( {-4} \right)^2 + \left( {-3} \right)^2$

$\sqrt{16 + 9}$

$\sqrt{25} = 5\\\\ d=5$

So, the distance between the points given is 5

4 0

2 years ago

azamat

Answer: A add the equations and C: Subtract the bottom equation from the top equation.

Step-by-step explanation: By adding the equations, you are left with

12x=8 which successfully eliminates the y values and subracting the bottom equation from the top equation.

Hope this helps! :)

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3 years ago

netineya [11]

Answer: Approximately 72.69 meters

Step-by-step explanation:

$sin(42.3)=\frac{opposite}{hypotenuse} =\frac{h}{108} \\\\108*sin(42.3)=h\\\\h=72.685$

5 0

2 years ago

marshall27 [118]

It could be seen from the table that when x is 2, the y value is 0. Thus, it can be concluded that the x intercept is (2,0)

The correct answer is B

6 0

2 years ago

EastWind [94]

It’s actually true!

^ ^ ^ ^
<—|——|——|——|——|—>
-2 -1 0 1 2

The 4 arrows above the number line represents the distance between 2 and -2 which is 4!

4 0

2 years ago