Find the volumes of each separate rectangular prism, (top) 9 x 4 x 12 = 432 cubic meters, (bottom) 10x2x2 = 40 cubic meters, and then add them together to get the overall volume, 40+432 = 472 cubic meters. the strategy is using length times width times height, LxWxH.
Answer: its called a additive inverse
Step-by-step explanation:
<h3>
Answer: The vertex is located at (2, 2)</h3>
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Explanation:
The general vertex form is
y = a(x-h)^2 + k
When we compare the function your teacher gave you to this template, then we see that
The vertex is therefore (h,k) = (2,2)
The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).
Reasons:
1. Because, MO cuts Angle PMN in two equal parts.
2.As ∠PMN is cut in to equal parts thus:
∠PMN = ∠NMO + ∠PMO, where these two parts (∠NMO, ∠PMO) are equal.
3. Both are the same, common you can say..
4. Because, MO cuts Angle PON in two equal parts.
5. As ∠PON is cut in to equal parts thus:
∠PON = ∠NOM + ∠POM, where these two parts (∠NOM , ∠POM) are equal.
6. From the above statements, we have:
= ∠NMO + ∠PMO (Proved)
= ∠NOM + ∠POM (Proved)
= MO = MO (Proved)
Thus, ∆PMO ≅ ∆NMO, by AAS rule
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As simpoool as that!
