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3 years ago

Which equation has the solution x = 5?

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

7 0

Answer: The equation that has the solution x = 5 is 32−4x=12

Step-by-step explanation:

Hi, to answer this question we have to solve each equation and the one that has the solution x=5 is the correct.

The equation that has the solution x = 5 is 32−4x=12.

To confirm the answer we have to solve the equation by isolating the variable x.

32−4x=12

-4x = 12 -32

-4x = -20

x = -20 / -4

x =5

Feel free to ask for more if it´s necessary or if you did not understand something.

alexgriva [62]3 years ago

4 0

It would be 32-4x=12
32-4(5)=12
32-20=12
12=12

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Right triangle ABC and its image, triangle A'B'C' are shown in the image attached.

AlladinOne [14]

Answer:

See explanation

Step-by-step explanation:

Triangle ABC ha vertices at: A(-3,6), B(0,-4) and (2,6).

Let us apply 90 degrees clockwise about the origin twice to obtain 180 degrees clockwise rotation.

We apply the 90 degrees clockwise rotation rule.

$(x,y)\to (y,-x)$

$\implies A(-3,6)\to (6,3)$

$\implies B(0,4)\to (4,0)$

$\implies C(2,6)\to (6,-2)$

We apply the 90 degrees clockwise rotation rule again on the resulting points:

$\implies (6,3)\to A''(3,-6)$

$\implies (4,0)\to B''(0,-4)$

$\implies (6,-2)\to C''(-2,-6)$

Let us now apply 90 degrees counterclockwise rotation about the origin twice to obtain 180 degrees counterclockwise rotation.

We apply the 90 degrees counterclockwise rotation rule.

$(x,y)\to (-y,x)$

$\implies A(-3,6)\to (-6,-3)$

$\implies B(0,4)\to (-4,0)$

$\implies C(2,6)\to (-6,2)$

We apply the 90 degrees counterclockwise rotation rule again on the resulting points:

$\implies (-6,-3)\to A''(3,-6)$

$\implies (-4,0)\to B''(0,-4)$

$\implies (-6,2)\to C''(-2,-6)$

We can see that A''(3,-6), B''(0,-4) and C''(-2,-6) is the same for both the 180 degrees clockwise and counterclockwise rotations.

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