Answer:
x = 24
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
<em>a</em> = a leg
<em>b</em> = another leg
<em>c</em> = hypotenuse
Step 1: Plug in known variables
x² + 10² = 26²
Step 2: Evaluate
x² + 100 = 676
Step 3: Isolate <em>x </em>term
x² = 576
Step 4: Isolate <em>x</em>
√x² = √576
x = 24
I used a app, I also assumed that the “2x2” of the equation meant 2x^2
Answer:
- recursive: a[1] = 7440; a[n+1] = a[n] -120
- explicit: a[n] = 7440 -120(n -1)
Step-by-step explanation:
The sequence of amounts in Jackson's account will be ...
7440, 7320, 7200, ...
with a first value (a1) of 7440 and a common difference (d) of -120.
The recursive formula for an arithmetic sequence is ...
a[1] = a1
a[n+1] = a[n] +d
For our sequence, the recursive formula is ...
a[1] = 7440
a[n+1] = a[n] -120
__
The explicit formula for an arithmetic sequence is ...
an = a1 +d(n -1)
For our sequence, the explicit formula is ...
a[n] = 7440 -120(n -1)
For the first 1 it is d and the second one is d the third one is d
