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3 years ago

Number 23 please help me

Mathematics

1 answer:

Maksim231197 [3]3 years ago

6 0

Earth to Neptune is the greatest distance. The number at the top is a power. So 22 to the power 4 is 22 x 22 x 22 x 22 = 234 256. 22 to the power 7 is 22 x 22 x 22 x 22 x 22 x 22 x 22 = 2 494 360 000. It is 22 to the power 3 larger which is 10 648 times greater.

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Brainly use a matrix to find the solution to the system of equations -8x-8y=-16 6x-9y=-108

Mama L [17]

We want to use a matrix to solve
-8x - 8y = -16
6x - 9y = -108

Before solving, simplify the equations as follows:
Divide the first equation by -8 to obtain
x + y = 2 (1)
Divide the second equation by 3 to obtain
2x - 3y = -36 (2)

In matrix form, the equations are
$\begin{bmatrix}1&1\\2&-3\end{bmatrix} \begin{\bmatrix} x\\y\end{bmatrix}=\begin{bmatrix}2 \\ -36 \end{bmatrix}$

The determinant of the matrix is
D = (1)(-3) - (1)(2) = -5

Use Cramer's Rule.
$x = \frac{1}{D} det(\begin{bmatrix}2&1\\-36&-3 \end{bmatrix} ) = \frac{1}{-5} (-6+36) = -6$
Similalrly,
$y= \frac{1}{-5} det(\begin{bmatrix} 1&2\\2&-36\end{bmatrix} ) = \frac{1}{-5}(-36-4) =8$

Answer: (-6, 8) or x = -6, y = 8

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hodyreva [135]

<h3>Answer: C) 12</h3>

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

Explanation:

Refer to the diagram below. I'm using the points A,B,C,D,E to help label the triangles, and to label the angles as well.

For now, let's focus on triangle DEC.

The top most angle is given as D = 65. Note how the angles D and E are opposite the congruent lines (marked with the red single tickmarks). This means that angles D and E are congruent to one another. So E = 65 as well. This is shown in the diagram below.

For now we don't know what angle C is, so we'll call it y. More specifically, we'll make y the measure of angle DCE.

For any triangle, the three angles always add to 180

y+65+65 = 180

y+130 = 180

y = 180-130

y = 50

So angle DCE is 50 degrees.

-------------------------------

Now we move onto triangle ABC.

Because angles DCE and ACB are vertical angles, this makes angle ACB 50 degrees also. Effectively, anywhere you see a 'y' in the diagram below, replace it with 50.

So triangle ABC has the three angles y = 50, y = 50 and 7x-4

We can solve for x like so

y+y+(7x-4) = 180

50+50+(7x-4) = 180

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7x = 180-96

7x = 84

x = 84/7

x = 12

This points to choice C as the final answer.

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