a.
a^2 + b^2 = c^2
The legs are a and b. c is the hypotenuse.
Let a = 6x + 9y; b = 8x + 12y; c = 10x + 15y
The equation is:
(6x + 9y)^2 + (8x + 12y)^2 = (10x + 15y)^2
b.
Now we square each binomial and combine like terms on each side.
36x^2 + 108xy + 81y^2 + 64x^2 + 192 xy + 144y = 100x^2 + 300xy + 225y^2
36x^2 + 64x^2 + 108xy + 192xy + 81y^2 + 144y^2 = 100x^2 + 300xy + 225y^2
100x^2 + 300xy + 225y^2 = 100x^2 + 300xy + 225y^2
The two sides are equal, so it is an identity.
Answer:
2/6/8
Step-by-step explanation:
Multiply all values in the given ratio by a constant, in this case 2
C is your answer. The coefficient on the x value is always a stretch factor.
Area = 24*Pi ft²
Area = Pi*r²
Pi*r² = 24*Pi
Canceling out Pi
r² = 24
Take square root of both sides
r = √24
r ≈ 4.899
Circumference = 2*pi*r
≈ 2*pi*4.899
≈ 2*3.141*4.899
≈ 30.78
Circumference ≈ 30.78 units.
Hope this explains it.
