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In a right triangle the sum of the squares of the lengths of two shorter sides is equal to the square of the length of the longest side.
a.
b.
c.
The answer is A and C.
a.
b.
c.
The answer is A and C.
Answer: C. 17.5 feet
Step-by-step explanation:
The attached photo shows the triangle ABC formed by the ladder and the wall. It is a right angle triangle because one of its angles is 90 degrees. The ladder is the hypotenuse of the triangle. To determine the height of the wall, we would find BC by applying Pythagoras theorem
Hypotenuse^2 = opposite ^2 + adjacent^2
18^2 + 4.5^2 + BC^2
BC^2 = 324 - 20.25 = 303.75
BC = √303.75 = 17.5 feet.
Answer:
a. Vertex = (2.5,-12.25)
b. y-intercept = (0,-6)
c. x-intercept = (6,0) ; (-1,0)
Step-by-step explanation:
a.
Your equation is written as:
The easiest way to find the vertex is writing the equation this way:
Being the vertex (h,k)
So first complete the square
Vertex : (2.5,-12.25)
b.
To find the y-intercept you need to replace the equation when x = 0 and get y
c.
To find the x-intercept you need to replace the equation when y = 0 and get x