Answer: The rule (x,y)=(y,-x) describes the
transformation
Step-by-step explanation:.........bc
A normal vector is the set of coefficients of x, y, and z when the equation is written in standard (or general) form.
Subtracting the left side, we have
... 2(8 -y) -z +5(x -2) = 0
... 16 -2y -z +5x -10 = 0
... 5x -2y -z +6 = 0 . . . . . general form
A normal vector is (5, -2, -1).
Answer:
![\huge{\purple {r= 2\times\sqrt[3]3}}](https://tex.z-dn.net/?f=%5Chuge%7B%5Cpurple%20%7Br%3D%202%5Ctimes%5Csqrt%5B3%5D3%7D%7D)
![\huge 2\times \sqrt [3]3 = 2.88](https://tex.z-dn.net/?f=%5Chuge%202%5Ctimes%20%5Csqrt%20%5B3%5D3%20%3D%202.88)
Step-by-step explanation:
- For solid iron sphere:
- radius (r) = 2 cm (Given)
- Formula for
is given as:
- For cone:
- r : h = 3 : 4 (Given)
- Let r = 3x & h = 4x
- Formula for
is given as:
- It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume

![\implies \huge{\purple {r= 2\times\sqrt[3]3}}](https://tex.z-dn.net/?f=%5Cimplies%20%5Chuge%7B%5Cpurple%20%7Br%3D%202%5Ctimes%5Csqrt%5B3%5D3%7D%7D)
- Assuming log on both sides, we find:
- Taking antilog on both sides, we find:
Answer:
Expression is; 29 - x = 16
I've attached an image showing the number line
Step-by-step explanation:
We are told that at lunchtime, it was 29 degrees Celsius and that by sunset, the temperature had dropped to 16 degrees Celsius.
Let the drop be x.
Thus;
29 - x = 16
I've attached an image showing the number line
F(x)=4+6+5/4+1
F(x)=4+6+5/5
F(x)=10+1=11
Answer =11