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Mrac [35]
4 years ago
6

what is the first step in solving the quadratic equation x2 = 9/16? take the square root of both sides of the equation. add 9/16

to both sides of the equation. square both sides of the equation. subtract 9/16 from both sides of the equation.
Mathematics
2 answers:
irina [24]4 years ago
6 0
Since

x² = (9/16)

The first step is to take square root of both sides.

√x² = √(9/16)

x = 3/4

Answer:  <span> take the square root of both sides of the equation</span>
elena-s [515]4 years ago
6 0

Answer:

Take the square root of both sides of the equation.

Step-by-step explanation:

The given quadratic equation is :

x^{2} =\frac{9}{16}

So, the first step will be - to take the square root of both sides of the equation.

That can be depicted as :

\sqrt{x^{2} } =\sqrt{\frac{9}{16} }

Now we can solve this as :

\sqrt{x \times x} =\sqrt{\frac{3\times3}{4\times4} }

That gives, x=\frac{3}{4}

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4 years ago
Two ships leave the same port at the same time. Two hours later ship A has traveled 12 miles and ship B has traveled 8 miles.
sashaice [31]

Answer:

the angle between their paths is <em>100.8°</em>

Step-by-step explanation:

From the given information, you can construct a triangle, just like the one in the figure.

We will use the <em>Cosine Rule</em> which is:

c² = b² + a² - 2 b c cos(θ)

where

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Therefore,

2 b c cos(θ) = b² + a² - c²

cos(θ) = (b² + a² - c²) / 2 b c

θ = cos⁻¹( (b² + a² - c²) / (2 b c) )

θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )

<em>θ = 100.8°</em>

<em></em>

Therefore, the angle between their paths is <em>100.8°</em>

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3 years ago
What is the equation of a circle with a center (-2, 3) and a radius r = 5?
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