280 = 7 x 2^3 x 5
882 = 7^2 x 2 x 3^2
For 280k to be perfect square , their powers need to be even
For 882 to be a cube, their powers need to be in multiple of 3,
To satisfy both parties,
K = 7 x 2^5 x 3^4 x 5^3 = 2268000
Answer:
y=3/2x+2.5
Step-by-step explanation:
For the element to be congruent only rotations, reflections or translations are allowed to be applied
1)
(x, y) → (x, –y)=reflection
(x, y) → (x + 5, y)=translation
(x, y) → (–x, y)=reflection
->is congruent
2)
(x, y) → (x + 1, y)=translation
(x, y) → (–x, –y)=reflection
(x, y) → (2x, y)=scaling->can't be congruent
3)
(x, y) → (0.5x, 0.5y)=scaling->can't be congruent
(x, y) → (x, –y)
(x, y) → (x, y + 8)
4)
(x, y) → (x – 4, y)=translation
(x, y) → (x, y + 3)=translation
(x, y) → (3x, 3y)=scaling->can't be congruent
so 1) is the only series of transformations with a congruent solution

where A=final amount
P=principal
r=rate in decimal form
t=time in years
we are given that P=500, r=12%=0.12
we want to find A when t=10, 20, and 30
so


when t=10, 
when t=20, 
when t=30, 
<u>Given</u>:
It is given that the height of the rectangle is 
The width of the rectangle is 
We need to determine the area of the entire rectangle.
<u>Area of the rectangle:</u>
The area of the rectangle can be determined using the formula,

Substituting the values, we have;

Multiplying each term within the parenthesis, we get;

Simplifying, we get;

Adding the like terms, we have;

Thus, the area of the entire rectangle is 