What is the length of the diagonal, ddd, of the rectangular prism shown below?
1 answer:
Answer:
≈ 9.6 units
Step-by-step explanation:
<em>Refer to attachment</em>
The diagonal d is the hypotenuse of right triangle with sides of 5 and a
The line a is the hypotenuse of the right triangle with the sides of 2 and 8.
<u>So, as per Pythagorean theorem:</u>
- d² = 5² + a²
- d²= 5² + 2²+ 8² = 25 + 4 + 64 = 93
- d² = 93
- d = √93
- d ≈ 9.6 units (rounded to the nearest tenth)
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Answer:
Step-by-step explanation:
Let P(x,y) be any point on the parabola.
focus S (0,5)
Directrix y=-5
or y+5=0
let M be foot of perpendicular from P(x,y) on directrix.
SP=
SP=PM
SP²=PM²
(x-0)²+(y-5)²=(y+5)²
x²=(y+5)²-(y-5)²
or x²=y²+10y+25-(y²-10y+25)
x²=y²+10y+25-y²+10y-25
x²=20y