How many times does 50 go into 85
2 answers:
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The translation moved point B(-5, -2) to B'(6, -5). Although a graph isn't necessary, it helps visualize what happened.
What happened to the x-coordinate of B? It changed from -5 to 6, an INCREASE of 11. So point B moved 11 units to the RIGHT.
What happened to the y-coordinate of B? It changed from -2 to -5, a DECREASE of 3. So point B moved 3 units DOWN.
What happened to the x-coordinate of B? It changed from -5 to 6, an INCREASE of 11. So point B moved 11 units to the RIGHT.
What happened to the y-coordinate of B? It changed from -2 to -5, a DECREASE of 3. So point B moved 3 units DOWN.
See the attached figures.
The area of this trapezoid = 576 cm²
You can try to show this by induction:
• According to the given closed form, we have , which agrees with the initial value <em>S</em>₁ = 1.
• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume
and
We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or
From the given recurrence, we know
so that
which is what we needed. QED