Answer:
x = 1
Step-by-step explanation:
Given the matrix;
![-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right]](https://tex.z-dn.net/?f=-2%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26-1%5C%5C3%265%5Cend%7Barray%7D%5Cright%5D%20%2B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%268%5C%5C-1%266%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2610%5C%5C-7%26-4%5Cend%7Barray%7D%5Cright%5D)
Converting to equations
From the first row of each matrices
-2x + 3 = x
Collect the like terms
-2x - x = -3
-3x = -3
x = -3/-3
x = 1
Hence the value of x is 1
Answer:
60%
Step-by-step explanation:
Multiply 40 by 3 and you get 120 so then you multiply 20% by 3 and get 60%
Answer:
option D: 27.5 square units
Step-by-step explanation:
Divide the polygon in 6 figures
see the attached figure
Area of figure 1 (right triangle)
A1=(1/2)(3)(3)=4.5 units²
Area of figure 2 (rectangle)
A2=(1)(3)=3 units²
Area of figure 3 (rectangle)
A3=(1)(3)=3 units²
Area of figure 4 (right triangle)
A4=(1/2)(3)(3)=4.5 units²
Area of figure 5 (right triangle)
A5=(1/2)(4)(5)=10 units²
Area of figure 6 (right triangle)
A6=(1/2)(1)(5)=2.5 units²
The total area is equal to
At=A1+A2+A3+A4+A5+A6
At=4.5+3+3+4.5+10+2.5=27.5 units²
So you use the method FOIL
Front
Out
Inside
Last
So it would be
X^2-4x+3x-1
X^2-1x-1
So i think it’s -x
To calculate the volume of a pyramid with a rectangular base, find the length and width of the base, then multiple those numbers together to determine the area of the base. Next, multiply the area of the base by the height of the pyramid. Take that result and divide it by 3 to calculate the pyramid's volume!