Answer:
First, plug-in x and y as 3sinθ-2 and 3cosθ+4 into the equation, respectively:
Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:
We can factor out 3^2 = 9 from both equations:
We know from a trigonometric identity that 
, meaning we can reduce the equation to:
And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sinθ-2 and y=3cosθ+4.
Hope this helped you.
You're asking for three consecutive odd numbers, then
Let, the numbers = x, x+2, x+4
It is given that, x + x+2+ x+4 = -27
3x + 6 = -27
3x = -27 - 6
x = -33/3
x = -11
Then, x+2 = -9 & x+4 = -7
In short, Your Numbers would be: -7, -9,-11
Hope this helps!
Answer:
- 131/24
Step-by-step explanation:
Answer:
.
It means that 673 of 9 inch tiles are required to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.
Step-by-step explanation:
Given:
The function relating number of 9 inch tiles required and area to cover is:
Now, plug in 400 for 
to evaluate 
.
Therefore, Don required 673 of 9 inch tiles to cover an area of 400 square feet, when spacing the tiles a quarter inch apart.
Answer:
She should have used One-half (9.4) (11.9) to represent the area of a single triangle
Step-by-step explanation:
The pyramid is composed by 4 triangles and 1 square
area of the square: base² = 9.4²
area of each triangle = 1/2*base*height = 1/2*9.4*11.9
surface area of the pyramid = 4*area of each triangle + area of the square = 4*(1/2*9.4*11.9) + 9.4²
