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4 years ago

10

The coordinates of a triangle are given as A(3, 2), B(-4, 1), C(-3, -2). What are the coordinates of the image after the triangl

e is reflected in the line y = x? A'( a0, a1) B'( a2, a3) C'( a4, a5)

2 answers:

Drupady [299]4 years ago

6 0

Look at the picture.

$A(3,\ 2)\to A'(2,\ 3)\\\\B(-4,\ 1)\to B(1,\ -4)\\\\C(-3,\ -2)\to C'(-2,\ -3)$

Serjik [45]4 years ago

4 0

Answer:

The answer is A'(2,3)

B'(1,-4)

C'(-2,-3) I hope they help

Step-by-step explanation:

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On Monday the temperature was 12°C. On Tuesday it decreased by 12°C. Which expression can be used to represent this situation?

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3 years ago

Find the area of a parallelogram with the given vertices.

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4 0

3 years ago

Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?

mixer [17]

Given:

$|u|=10$ at an angle of 45°.

$|v|=13$ at an angle of 150°.

$w=u+v$

To find:

Magnitude and direction angle of w.

Solution:

We have,

$w=u+v$

$\theta = 45^\circ, \phi = 150^\circ$

Now,

$u_x=|u|\cos \theta=10\cos 45^\circ=7.071$

$u_y=|u|\sin \theta=u_y=10\sin 45^\circ=7.071$

$v_x=|v|\cos \phi=13\cos 150^\circ=-11.25833$

$v_y=|v|\sin \phi=u_y=13\sin 150^\circ=6.5$

Using these information, we get

$R_x=u_x+v_x=7.071-11.25833=-4.18733$

$R_y=u_y+v_y=7.071+6.5=13.571$

$\text{Direction angle}=\tan^{-1}(\dfrac{R_y}{R_x})$

$\text{Direction angle}=\tan^{-1}(\dfrac{13.571}{-4.18733})$

$\text{Direction angle}=-72.8239$

$\text{Direction angle}=107.1476$

$\text{Direction angle}\approx 107.1$

Now,

$|w|=\sqrt{(|u|\cos \theta +|v|\cos \phi)^2+(|u|\sin \theta +|v|\sin \phi)^2}$

$|w|=\sqrt{(10\cos(45)+13\cos 150)^2+(10\sin(45)+13\sin 150)^2}$

$|w|=\sqrt{(10(\dfrac{1}{\sqrt{2}})+13(-\dfrac{\sqrt{3}}{2}))^2+(10(\dfrac{1}{\sqrt{2}})+13(\dfrac{1}{2}))^2}$

$|w|=14.20236$

$|w|\approx 14.20236$

Therefore, the correct option is D.

4 0

3 years ago

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g100num [7]

Answer

(4x-5) = -20 (2x+8) = 2

Step-by-step explanation:

2 x − 8 = 2 2x-8=2 2x−8=2. Add 8 to both sides. Simplify 2 + 8 2+8 2+8 to 10. Divide both sides by 2. If its wrong then I’m very sorry but I’m sure this is correct.

6 0

3 years ago

PLEASE HELP THANKS!!!

MatroZZZ [7]

Answer:

235

Step-by-step explanation:

area of one square=

180

area of other square=

11 times 5 =55

55+180=235

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5 0

3 years ago

Read 2 more answers