The first term is -16, so we have
... a[1] = -16
Each term is -1/4 of the one before it, so the recursive rule is
... a[n+1] = (-1/4)a[n]
Answer:
x = 2.4/20= 0.12
Step-by-step explanation:
Multiply both sides by 4 to eliminate the fraction 1/4:
1 20
--- = ------
x 2.4
Next, we cross-multiply. This eliminates the fractions:
20x = 2.4
Dividing both sides by 20 results in an equation for x: x = 2.4/20= 0.12
Hey there! This is gonna require the Pythagorean Theorem which is<span> a^2 + b^2 = c^2
</span>
a and b in this case are the legs while c is the hypotenuse! So, we can just plug in the numbers we know!
3^2 + 10^2 = c^2
9 + 100 = c^2
109 = c^2
And then take the square root of 109 to get the hypotenuse.
<span>10.4403065089 = c
</span>
Since we need to round to the nearest hundredth, though, it would be 10.44
I hope that helps! Feel free to let me know if you have any questions!
- mathwizzard3
