3 years ago

Identify the exponent that would follow (3 • 4) to make the equation true. (3^2)(4^2) = (3 • 4)

Mathematics

1 answer:

Ann [662]3 years ago

4 0

Answer:

Step-by-step explanation:

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) Find the coordinates of the point A' which is the symmetric point

soldier1979 [14.2K]

Let, coordinate of point A' is (x,y).

Since, A' is the symmetric point A(3, 2) with respect to the line 2x + y - 12 = 0.

So, slope of line containing A and A' will be perpendicular to the line 2x + y - 12 = 0 and also their center lies in the line too.

Now, their center is given by :

$C( \dfrac{x+3}{2}, \dfrac{y+2}{2})$

Also, product of slope will be -1 .( Since, they are parallel )

$\dfrac{y-2}{x-3} \times -2 = -1\\\\2y - 4 = x - 3\\\\2y - x = 1$

x = 2y - 1

So, $C( \dfrac{2y -1 +3}{2}, \dfrac{y+2}{2})\\\\C( \dfrac{2y + 2}{2}, \dfrac{y+2}{2})$

Also, C satisfy given line :

$2\times ( \dfrac{2y + 2}{2}) + \dfrac{y+2}{2} = 12\\\\4y + 4 + y + 2 = 24\\\\5y = 18\\\\y = \dfrac{18}{5}$

Also,

$x = 2\times \dfrac{18}{5 } - 1\\\\x = \dfrac{31}{5}$

Therefore, the symmetric points is $A'(\dfrac{31}{5}, \dfrac{18}{5})$ .

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2 years ago

What type of model should be used to make a prediction from the given data? (0,3), (2,4), (5,5), (10,6)

mojhsa [17]

I would say a Coordinate Grid.

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3 years ago

The following table shows the monthly defect rate for a product at a manufacturing company.

Lapatulllka [165]

Answer:

Step-by-step explanation:

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3 years ago

A student wrotw a variable expression n-5 for the word phrase n less than 5. explain the students error

zheka24 [161]

Less than does mean minus, but when the question says less than some number, that number goes first. should have written 5-n

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3 years ago

A triangle in the coordinate plane has coordinates of (2,3), (-4,-5), and (-2, 4). It is reflected about the y-axis. What are it

lana [24]

Reflection about the y-axis involves flipping the sign of the x-value.
Therefore:
(2,3) -> (-2,3)
(-4,-5) -> (4,-5)
(-2,4) -> (2,4)

The new coordinates are (-2,3), (4,-5), and <span>(2,4)</span>

4 0

3 years ago

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