Answer:
Step-by-step explanation:
step 1
Find the length side of the smaller square
The area of the square is equal to
so
step 2
Find the length side of the larger square
The area of the square is equal to
so
step 3
Find the value of x
Applying the Pythagoras Theorem
substitute the values
Answer:
x=2/3
Step-by-step explanation:
8 (3x-4)= 4x-2
24x-32= 4x-2
20x=30
x=2/3
Remember that transformation between Cartesian and polar system are:
x=r*cos(α)
y=r*sin(α)
From this we can conclude that:
r=√(x^2 + y^2)
Using trigonometry transformations we can write:
r=sin(2α) = 2sin(α)cos(α)
Now we can multiply both sides with r^2:
r^3 = 2(r*sin(α))*(r*cos(α))
Now using some replacements we can write:
(x^2 + y^2)^(3/2) = 2*x*y
Answer:
not a right triangle
Step-by-step explanation:
We can use the Pythagorean theorem to see if it is a right triangle
a^2 + b^2 = c^2
15^2 + 12^2 = 21^2
225 + 144 = 441
369 = 441
This is not true so it is not a right triangle
The answer is (3,2). I did this by drawing a graph, inserting the two midpoints you provided, and put in each potential midpoint, finding (3,2) is the only midpoint that connects to the line.
