A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid to vertex D is 2.5 units, as shown. Find the length of segment AD, in units.

AD is 6.5 units

Step-by-step explanation:

Find the diagram attached.

From the diagram, you can see that the dotted triangle is a right angled triangle with side AD as the hypotenuse.

To get AD, we will use the pythagoras theorem as shown;

Hyp² = Opp² + Adj²

AD² = 6²+2.5²

AD² = 36 + 6.25

AD² = 42.25

AD = √42.25

AD = 6.5

Hence the measure of length segment AD is 6.5 units

answer: standard form is ax^2 + bx + c = 0

step-by-step explanation:

standard form is ax^2 + bx + c = 0

(2x + 1)(x - 2) = 0

distribute to get into standard form

2x^2 - 4x + x - 2 = 0

2x^2 - 3x - 2 = 0

a = 2, b= -3, c = -2

a is your answer

step-by-step explanation: