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Natali5045456 [20]
4 years ago
5

Help What’s the Answer

Mathematics
1 answer:
nordsb [41]4 years ago
5 0

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

(3, 7) and (-1, 4)

y_{2} =4\\y_{1} =7\\x_{2} =-1\\x_{1} =3

^^^Plug these numbers into the formula for slope...

\frac{4-7}{-1 - 3}

\frac{-3}{-4}

C. \frac{3}{4}

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

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Answer:

c. 52

Step-by-step explanation:

since that triangle QRE is a right angle triangle

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since triangle PQE is a right angle triangle

therefore PQ= root 4²+6²= 2 root 13 = root 52

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Use matrices to determine the coordinates of the vertices of the reflected figure. Then graph the pre-image and the image on the
Troyanec [42]

Answer:

The coordinates of the vertices of the reflected figure are :

R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6) ⇒ the right answer is (d)

Step-by-step explanation:

* When you reflect a point across the line y = x, the x-coordinate

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* If you reflect over the line y = -x, the x-coordinate and y-coordinate

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- If the point is (x , y) then its image is (-y , -x)

* Lets study the matrix of the reflection  about the line y = x

- The matrix of the reflection about the line y = x is

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* Now lets solve the problem

- We will multiply the matrix of the reflection about y = x

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- The dimension of the matrix of the reflection about y = x

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∵ The point R is (-2 , 5)

∴ R'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{cc}-2\\5\end{array}\right]=

  \left[\begin{array}{c}(0)(-2)+(1)(5)\\(1)(-2)+(0)(5)\end{array}\right]=\left[\begin{array}{c}5\\-2\end{array}\right]

∴ R' is (5 , -2)

∵ The point S is (5 , 3)

∴ S'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}5\\3\end{array}\right]=

  \left[\begin{array}{c}(0)(5)+(1)(3)\\(1)(5)+(0)(3)\end{array}\right]=\left[\begin{array}{c}3\\5\end{array}\right]

∴ S' is (3 , 5)

∵ The point T is (6 , -7)

∴ T'=\left[\begin{array}{cc}0&1\\1&0\end{array}\right]\left[\begin{array}{c}6\\-7\end{array}\right]=

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∴ T' is (-7 , 6)

* Lets look to the figures to find the right answer

∵ The R' is (5 , -2) , S' is (3 , 5) , T' is (-7 , 6)

∴ The right answer is (d)

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Answer:

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Step-by-step explanation:

= 10x - 5 + 3x - 2

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= 13x - 7

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