The answer for your question would be 107
<h2>
Ordered triple are (4,-2,1)</h2>
Step-by-step explanation:
We need to find ordered triple of 2x + 5y - 3z = -5 , 3x + 2y + 7z = 15 and 5x - 4y + 6z = 34
2x + 5y - 3z = -5 -------------------------eqn 1
3x + 2y + 7z = 15 -------------------------eqn 2
5x - 4y + 6z = 34 -------------------------eqn 3
eqn 1 + eqn 2
5x + 7y + 4z = 10 -------------------------eqn 4
eqn 4 - eqn 3
11y - 2z = -24 -------------------------eqn 5
eqn 1 x 3
6x + 15y - 9z = -15 -------------------------eqn 6
eqn 2 x 2
6x + 4y + 14z = 30 -------------------------eqn 7
eqn 7 - eqn 6
-11y + 23z = 45 -------------------------eqn 8
eqn 5 + eqn 8
21 z = 21
z = 1
Substituting in eqn 8
-11y + 23 x 1 = 45
-11 y = 22
y = -2
Substituting in eqn 1
2x + 5 x -2 - 3 x 1 = -5
2x = 8
x = 4
Ordered triple are (4,-2,1)
Answer: 2041 meters
A bicycle wheel is a circular object.
The circumference of a circle is 2π(radius)
Here given:
- radius = diameter/2 = 65/2 = 32.5 cm
Hence find the length for each revolution:
- 2π(32.5) = 204.1 cm per revolution
Then for 1000 revolutions:
- 204.1 × 1000 = 204100 cm ≈ 2041 meter
Answer:
Vertex: (-1,-1)
Minimum
Step-by-step explanation:
y = 2x² + 4x + 1
y = 2(x² + 2x + 1 - 1) + 1
y = 2(x + 1)² - 2 + 1
y = 2(x + 1)² - 1
Vertex: (-1,-1)
Minimum