Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.
1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
According to this theorem,
Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then
Take positive value x. You get
2. According to the previous theorem,
Then
Answer: 
This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then
This means that you cannot find solutions of this equation. Then CD≠2 cm.
Answer:
Step-by-step explanation:
eq. of directrix is y-1=0
let (x,y) be any point the parabola.
then\sqrt{ (x-6)^2+(y-2)^2}=\frac{y-1}{(-1)*2}
squaring
x²-12x+36+y²-4y+4=y²-2y+1
x²-12 x+40-1=4y-2y
2y=x²-12x+39=x²-12x+36+3
(x-6)²=2y-3
A^2-b^2=(a+b)(a-b)
1: x^2-4=(x+2)(x-2)
2: (x+8)(x-8)
3: (x+10)(x-10)
4: (x+14)(x-14)
Answer: The total surface area is 633.9
Step-by-step explanation:
12.25 times 15.75, then divide by 2 = 96.46875 (this is the area of the triangle
Then times 4 = 385.875 (Because there are four triangles
15.75 times 15.75 = 248.0625 (The area of the square)
The sum is 633.9375
Rounded = 633.9
Answer:
<h3>
(6, 3)</h3>
Step-by-step explanation:
Translation right (or left) means change of the x-coordinate.
Translation down (or up) means change of the y-coordinate.
(3, 8) → (3+3, 8-5) = (6, 3)
