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enot [183]
3 years ago
13

Help pls i dont get this and it needs to be done before we leave

Mathematics
1 answer:
diamong [38]3 years ago
7 0

Answer: 2210.6

Step-by-step explanation:

V=\pi (8)^{2} \cdot 11 \approx 3.14 \cdot 8^{2} \cdot 11 \approx 2210.6

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Write an equation in point slope form for the line that passes through each point with the given slope. (you can press on the ph
Anuta_ua [19.1K]

Answer:

Question 1: Option C: y -6 = 8(x+4) is the correct answer.

Question 2: Option B: y-1=0 is the correct answer.

Step-by-step explanation:

<u>Question 1(In Picture):</u>

Given point is: (-4,6) and

Slope: m = 8

The point-slope form of equation of a line is given by:

y - y_1 = m(x-x_1)

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

y -6 = 8(x+4)

Hence,

Option C: y -6 = 8(x+4) is the correct answer.

<u>Question 2:</u>

Given point is: (3,1) and

Slope: m = 0

The point-slope form of equation of a line is given by:

y - y_1 = m(x-x_1)

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

y -1 = 0(x-3)\\y-1 = 0

Hence,

Option B: y-1=0 is the correct answer.

7 0
3 years ago
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

 and y-coordinate change their places.

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

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

 change their places and their signs

- 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

 \left[\begin{array}{cc}0&1\\1&0\end{array}\right]

- Because the x-coordinate and y-coordinate change places.

* Now lets solve the problem

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

 by each point to find the image of each point

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

 is 2×2 and the dimension of the matrix of each point is 2×1,

 then the dimension of the matrix of each image is 2×1

∵ 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]=

  \left[\begin{array}{c}(0)(6)+(1)(-7)\\(1)(6)+(0)(-7)\end{array}\right]=\left[\begin{array}{c}-7\\6\end{array}\right]

∴ 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)

4 0
4 years ago
CAN YALL PLS HELP ASAPPP!!!!
Elena L [17]

Answer:

8/4 + 4/4

Step-by-step explanation:

Try it im not good at math :( but hope it helps :(:

3 0
2 years ago
Please Help With This!! Please Add An Explanation If Possible!! :)
White raven [17]

Answer:

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Step-by-step explanation:

5 0
4 years ago
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Simplify the following expression: <br><br><br><br> `{4x^{2}+16x}{2x+8}`
Kazeer [188]

Answer:

8x³+64x²+128x

Step-by-step explanation:

I can't type this so... the explanation is above, handwritten.(sorry for the bad handwriting)

8 0
4 years ago
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