Rectangular prism the two square on the end have 4 vertices each
Answer:
Pythagorean Theorem: c2 = a2 + b2
Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh
Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.
The total area of the trapezoid is : A1 + A2 = ab + ½c2
You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2
You subtract out the 2ab: a2 + b2 = c2.
Then what is left is the proof: a2 + b2 = c2
Answer:
y = -2x - 3
Step-by-step explanation:
Slope: (5 - - 5)/(-4 -1) = 10/-5 = -2
y-intercept: 5 - (-2)(-4) = -3
First, simplify. Combine like terms
10x - 3x = 7x
7x + 1 = x + 4
Isolate the x. Subtract x from both sides, and 1 from both sides
7x (-x) + 1 (-1) = x (-x) + 4 (-1)
7x - x = 4 - 1
Simplify
6x = 3
Isolate the x. Divide 6 from both sides
6x/6 = 3/6
x = 1/2
1/2, or 0.5 is your answer for x.
hope this helps