Answer: {x,y} = {27/4,-47/8}
Answer:
116 cm²
Step-by-step explanation:
The area of a circle = πr² ← r is the radius
shaded area = external area - internal area
= π × 6.5² - π × 2.3²
= π( 42.25 - 5.29)
= π × 36.96 ≈ 116 cm²
The base case is the claim that

which reduces to

which is true.
Assume that the inequality holds for <em>n</em> = <em>k </em>; that

We want to show if this is true, then the equality also holds for <em>n</em> = <em>k</em> + 1 ; that

By the induction hypothesis,

Now compare this to the upper bound we seek:

because

in turn because

Answer:
- Ken is faster by 1 mile per hour
Step-by-step explanation:
<u>Ken's speed</u>
<u>Brenda's speed</u>
<u>Comparing the values, we see that</u>
- Ken is faster by 58 - 57 = 1 mile per hour
Answer:
There will be 1 solution to the system of equations.
Step-by-step explanation:
y = 6x - 7
y = 53x + 13
Since the two equations have different slopes and different y-intercepts, there will be 1 solution to the system of equations.
tadah!