Answer:
64x⁶ - 216y³
Step-by-step explanation:
The formula for the volume of a cube is
Vol. = l³
For the large cube,
V =(4x²)³
V = 64x⁶
For the small cube,
v =(6y)³
v = 216y³
The difference in volume is
Diff. = 64x⁶ - 216y³
The are of the purple figure is 18 square units.
Step-by-step explanation:
Just count the number of squares of the purple units. Flr the incomplete squares, find the corresponding incomplete square and count them as 1.
They do be sending aliens to Brainly doe
Answer:
A
Step-by-step explanation:
Sum the product of the components in the first row of A with the corresponding components of the first column in B
Repeat this with the components in the second row of A with the corresponding components of the second column in B, that is
AB
= ![\left[\begin{array}{ccc}2&1\\3&4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%5C%5C3%264%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}3&1\\5&2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%261%5C%5C5%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}2(3)+1(5)&2(1)+1(2)\\3(3)+4(5)&3(1)+4(2)\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%283%29%2B1%285%29%262%281%29%2B1%282%29%5C%5C3%283%29%2B4%285%29%263%281%29%2B4%282%29%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}6+5&2+2\\9+20&3+8\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%2B5%262%2B2%5C%5C9%2B20%263%2B8%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}11&4\\29&11\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%264%5C%5C29%2611%5C%5C%5Cend%7Barray%7D%5Cright%5D)
→ A
Answer:
Length = 12cm
Step-by-step explanation:
The dimensions of the recatngle is:
- width → x
and
- length → x+7
The area of a rectangle follows the formula: length*width
Meaning: x * (x + 7) = 60
Expand that: x^2 + 7x = 60
Rearragne the equation and factorise it
(x-5)(x+12) = 0
The width cannot be a negative value, so the answer must be 5.
Remember that x was the width and the length is the width add the 7.
So the length is 12 cm.
