Answer:
x would equal 1
Step-by-step explanation:
9514 1404 393
Answer:
![\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%26-2%5C%5C0%26-3%265%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The rotation matrix for 90° CCW is ...
![\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%26-1%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
Then the rotated coordinates are ...
![\left[\begin{array}{ccc}0&-1\\1&0\end{array}\right]\cdot\left[\begin{array}{ccc}0&-3&5\\0&1&2\end{array}\right]=\left[\begin{array}{ccc}0&-1&-2\\0&-3&5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D%5Ccdot%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-3%265%5C%5C0%261%262%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%26-1%26-2%5C%5C0%26-3%265%5Cend%7Barray%7D%5Cright%5D)
_____
The transformation of each ordered pair is ...
(x, y) ⇒ (-y, x)
Answer:
-63+14x
Step-by-step explanation:
7(-9+2x)=7(-9)+7(2x)=-63+14x
The number of blocks of clay needed by Hyla is 30 blocks
<h3>What is area?</h3>
Area is the region bounded by a plane shape.
To calculate the number of blocks of clay needed by Hyla, we find the area of the bottom of the box and divide it by the area of the block.
Formula:
- n = LWH/lwh............... Equation 1
Where:
- n = Number of blocks of clay needed by Hyla
- L = Length of the bottom of the box
- W = Width of the bottom of the box
- H = Height of the box
- l = Length of the bottom of the block
- w = Width of the block
- h = Height of the block.
From the question,
Given:
- L = 24 cm
- W = 20 cm
- H = 2 cm
- l = 4 cm
- w = 4 cm
- h = 2cm
Substitute these values into equation 1
- n = (24×20×2)/(4×4×2)
- n = 30
Hence, The number of blocks of clay needed by Hyla is 30 blocks
Learn more about area here: brainly.com/question/2217700
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Always try putting x=1 and x=-1 to see if we can find a zero.
If x=1 we get 5+8+1-2 which is not zero.
If we change the signs of the odd powers of x we get -5+8-1-2 which is zero so x=-1 is a zero and x+1 must therefore be a factor. Now we can use synthetic division to find the quadratic:
-1 | 5 8 1 -2
5 -5 -3 2
————
5 3 -2 | 0 = 5x²+3x-2 = (5x-2)(x+1).
Therefore the real zeroes are -1, 2/5, since -1 is a duplicate zero (because the cubic factorises into (5x-2)(x+1)²).
