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3 years ago

I need help please. How do I find the value of x?

Mathematics

1 answer:

Zina [86]3 years ago

7 0

X = 58

The angle directly across from the 32 is also 32 degrees because it uses the same lines at the same angles. That's the Vertical Angles Theorem. The line straight across means that is 180 degrees, which is already split in half by the visible 90 degree angle (given by the box in the corner). Since all the angles are on the same side of the line, the 180 degree angle, they should add up to equal 180 degrees. Also, since 90 is half of 180, the 32 degree angle and the x angle should just add up to equal 90 degrees. So, 90 minus 32 equals 58.

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skew-symmetric 3 x 3 matrices form as subspace of all 3 x 3 matrices and find a basis for this subspace.

Neporo4naja [7]

Answer:

a) ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

b) therefore Basis of W is

={ ${\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right]$ $,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right]$ $,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]$ }

Step-by-step explanation:

Given the data in the question;

W = { A| Air Skew symmetric matrix}

= {A | A = -A^T }

A ; O⁻ = -O⁻^T O⁻ : Zero mstrix

O⁻ ∈ W

now let A, B ∈ W

A = -A^T B = -B^T

(A+B)^T = A^T + B^T

= -A - B

- ( A + B )

⇒ A + B = -( A + B)^T

∴ A + B ∈ W.

∝ ∈ | R

(∝.A)^T = ∝A^T

= ∝( -A)

= -( ∝A)

(∝A) = -( ∝A)^T

∴ ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

A ∈ W

A = -AT

A = $\left[\begin{array}{ccc}o&a&b\\-a&o&c\\-b&-c&0\end{array}\right]$

= $a\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right]$ $+b\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right]$ $+c\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]$

therefore Basis of W is

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3 years ago

In 1910, halley's comet traveled close to earth about 1/7 of the distance from the earth to the sun. Earth's distance from the s

otez555 [7]

Answer:

Imma answer this because I don’t want this to get deleted for not bein answered and there free point who wouldn’t want them, lol :)

Step-by-step explanation:

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3 years ago

If possible help me in this. I need to find the two odd numbers...

Lelechka [254]

Part (a)

Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer

For example, if x = 7, then x+2 = 9 is right after.

<h3>Answer: x+2</h3>

========================================================

Part (b)

The consecutive odd integers we're dealing with are x and x+2.

Their squares are x^2 and (x+2)^2, and these squares add to 394.

<h3>Answer: x^2 + (x+2)^2 = 394</h3>

========================================================

Part (c)

We'll solve the equation we just set up.

x^2 + (x+2)^2 = 394

x^2 + x^2 + 4x + 4 = 394

2x^2+4x+4-394 = 0

2x^2+4x-390 = 0

2(x^2 + 2x - 195) = 0

x^2 + 2x - 195 = 0

You could factor this, but the quadratic formula avoids trial and error.

Use a = 1, b = 2, c = -195 in the quadratic formula.

$x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\$

If x = 13, then x+2 = 13+2 = 15

Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394

Or we could have x = -15 which leads to x+2 = -15+2 = -13

So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394

We get the same thing either way.

<h3>Answer: Either 13, 15 or -15, -13</h3>

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lutik1710 [3]

20✔️3 + 4✔️27
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20✔️3 + 4 • 3 ✔️3
20✔️3 + 12✔️3
32✔️3.

The solution is 32✔️3.

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Sergio039 [100]

The answer is B hope this helps

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