Answer:
Step-by-step explanation:
We want to simplify:
We rewrite as:
We split the radical sign to obtain:
Simplify the square root for the perfect squares to get:
Therefore the simplified form is:
<h3>
Answers:</h3>
- ST = 23
- RU = 8
- SV = 5
- SU = 10
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Explanation:
Focus on triangles SVT and UVT.
They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.
Since the triangles are the same, just mirrored, this means ST = UT = 23.
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Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.
Therefore, RS = RU = 8
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SV = VU = 5 because RT bisects SU.
Bisect means to cut in half. The two smaller pieces are equal.
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SU = SV + VU = 5+5 = 10
Refer to the segment addition postulate.
Answer:
x³ + 5x² + 5x - 2
Step-by-step explanation:
Given
x³ + 3x² - x + 2x² + 6x - 2 ← collect like terms
= x³ + (3x² + 2x² ) + (- x + 6x ) - 2
= x³ + 5x² + 5x - 2
Step-by-step explanation:
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