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USPshnik [31]
3 years ago
5

Find the solutions to the equation below 9x^2 -81=0

Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0

Step-by-step explanation:

=

−

±

2

−

4

√

2

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

9

2

−

8

1

=

0

9x^{2}-81=0

9x2−81=0

=

9

a=

a=9

=

0

b={\color{#e8710a}{0}}

b=0

=

−

8

1

c={\color{#129eaf}{-81}}

c=−81

=

−

0

±

0

2

−

4

⋅

9

(

−

8

1

)

√

2

⋅

9

x=2⋅9−0±02−4⋅9(−81)​​

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Step-by-step explanation:

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2 years ago
A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he
Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

\theta = \frac{360\°}{16}=22.5\°

Where all sectors have equal area.

Now, the area of the whole circle is 12.25 \pi \ cm^{2}, if we use the formula of its area, we'll find the radius of the circle

A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx  3.5

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

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6 0
3 years ago
Solve for x: -6(x + 4) + 9 &gt; -5(x + 6)
devlian [24]

Answer:

x < 15

Step-by-step explanation:

Let's first expand the parentheses on both sides. Remember that when expanding parentheses, the result will be the sum of the products of the "outside number" with each of the "inside number".

On the left, the parenthetical expression is: -6(x + 4). Here, the outside term is -6 and the inside terms are x and 4. So:

-6(x + 4) = -6 * x + (-6) * 4 = -6x - 24

On the right, the parenthetical expression is: -5(x + 6). Here, the outside term is -5 and the inside terms are x and 6. So:

-5(x + 6) = -5 * x + (-5) * 6 = -5x - 30

Now put these back in:

-6(x + 4) + 9 > -5(x + 6)

-6x - 24 + 9 > -5x - 30

-6x - 15 > -5x - 30

x < 15

Thus the answer is x < 15.

Hope this helps!

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Answer:

.........................

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