Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
Answer:
32
Step-by-step explanation:
the points (-6,0)(-2,0)(1,0)(3,0) all exist in the graph which is only correct for the second graph to make your self even more sure
since the zeros are given and it ia a polynomial you can figure out the facrored form
which will yield
f(x)=(x+6)(x+2)(x-1)(x-3)
conducting a simple sign test
------------------------------------------'
there will be 4 critical values
-6 -2 1 3
before -6 the sign of f(x) -*-*-*-= +
after -6 and before -2 the sign of f(x) +*-*-*-=-
after -2 and before 1 the sign of f(x) +*+*-*-=+
after 1 and before 3 the sign of f(x) +*+*+*-=-
after 3 the sign of f(x) +*+*+*+=+
which only fits the upper right graph
Answer:
20 feet long
Step-by-step explanation:
To solve this you need to use the Pythagorean theorum, 
, where c is the length of rope needed and A and B are the side lengths. Think of it like a right triangle.
So, the equation is
Which is then
And the possible values of c are 20 and -20.
From here we know the answer cannot be -20 because you cannot have a negatively long length of rope, so the answer must be 20 feet.
Answer: 140
Step-by-step explanation: try 140
Hoped it helped :D
