Sam’s tent has slanted sides that are each 5 feet long with a bottom 6 feet across. what is the height of his tent at its tallest point?
a) 3.0 ft
b) 3.5 ft
c) 4.0 ft
d) 5.0 ft

C)4.0 ft  

Step-by-step explanation:

We will use the Pythagorean theorem to solve this.  It states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse; algebraically,

a²+b² = c²

The height splits the base in two, giving us a leg of 3.  The hypotenuse is 5.  This gives us:

3²+b² = 5²

9+b² = 25

Subtract 9 from each side:

9+b²-9 = 25-9

b² = 16

Take the square root of each side:

√b² = √16 = 4

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step-by-step explanation:

the transverse axis of a hyperbola is the line that contains the two vertices and the two focuses.

in this example (hyperbola of equation x^2/2 - y^2/4 = 1), the transverse axis is the  x-axis  . 

step-by-step explanation: