Answer:
DE = 4 units.
Step-by-step explanation:
By the chord intersection theorem:
BE * CE = DE * FE
But FE = DE + 5 so:
BE * CE = DE * (DE + 5)
6 * 6 = DE^2 + 5DE
DE^2 + 5DE - 36 = 0
(DE + 9)(DE - 4) = 0
So DE = -9 or 4
It can't be negative so DE = 4.
that would be the circumference of the circle
= 2 pi r
= 2 * pi * 2
= 6.28 feet to 2 DP's.
Answer:
189
Step-by-step explanation:
each of the triangles has a area of 35 cm, so 35x4=140, then the square is 49 cm so its 140+49=189.
2x+3y= -17
5x+2y= -4
You must cancel either the x or y out to solve so i'm going to cancel the x.
-5(2x+3y= -17)
2(5x+2y= -4)
This simplifies to:
-15x -15y=85
15x+4y= -8
The -15x and 15x cancel out leaving you:
-15y=85
4y= -8
You add them top numbers by the bottom and get:
-11y=77
Then divide by -11 to get y by its self.
y= -7
Now that you know what y is just plug it in to either original problem. I will use the second one.
5x + 2(-7) = -4
5x -14 = -4
5x = 10
x = 2
So the answer is (2,-7) or x=2 and y=-7
Answer:
Step-by-step explanation:
It's awfully deep.
1 minute = 65 meters
10 minutes = 10 * 65 = 650 meters below sea level.
