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2 years ago

I need to know the answer

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

5 0

Supplementary angles add up to 180 degrees.

x + 83 = 180

Subtract 83 from both sides

x = 97 degrees

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Solve the equations for all values of x by completing the square x^2+62=-16x

lorasvet [3.4K]

Answer:

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Step-by-step explanation:

To complete the square, we first have to get our equation into $ax^2 + bx = c$ form.

First we add 16x to both sides:

$x^2 + 16x + 62 = 0$

And now we subtract 62 from both sides.

$x^2 + 16x = -62$

We now have to add $(\frac{b}{2})^2$ to both sides of the equation. b is 16, so this value becomes $(16\div2)^2 = 8^2 = 64$ .

$x^2 + 16x + 64 = -62+64$

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because $8\cdot8=64$ and $8+8=16$ .

$(x+8)^2 = -62 + 64$

We can now take the square root of both sides.

$x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}$

We can now isolate x on one side by subtracting 8 from both sides.

$x = \pm\sqrt{2} - 8$

So our solutions are

$x = \sqrt{2} - 8\\x = -\sqrt{2} - 8$

Hope this helped!

4 0

2 years ago

Find the area of a regular octagon with a side length of 4 cm.

goblinko [34]

Answer:

77.25 cm^2

Step-by-step explanation:

Area of a regular octagon :

2a^2(1 + (sqrt2))

where a is the side

substitute 4 in for 'a'

6 0

2 years ago

WHST IS THE ANSWER TO 3/5 ÷ 7/8 =

uysha [10]

Answer: 24/35

Step-by-step explanation:

3/5 * 8/7

3*8/5*7

24/5*7 = 24/35

6 0

2 years ago

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If you bought a set of markers for $2.85 and paid for it with a 5 dollar bill, how much change would you receive?

miss Akunina [59]

3.15 dollar you gonna get back

4 0

2 years ago

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250 divided by 10 to the 2 nd power

laila [671]

The answer to your problem is 2.5.

5 0

2 years ago

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