13 If B is the midpoint of AC, and AC = 8x – 20, find BC. 3x-1 А в
1 answer:
Answer:
BC = 26
Step-by-step explanation:
Given that:
B is the midpoint of AC
Then AC = AB + BC
AC = 8x - 20 and AB = 3x - 1
Then,
8x - 20 = (3x - 1) + BC
8x - 20 - (3x - 1) = BC
8x - 20 - 3x + 1 = BC
5x - 19 = BC
But AB = BC
5x - 19 = 3x - 1
5x - 3x = - 1 + 19
2x = 18
x = 9
Hence,
Since BC = AB = 3x - 1
3(9) - 1
27 - 1
= 26
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So, we would need to remember a (key) point, <em>we aren't just multiplying, for the most part, we're simplifying. </em>
Our result:
![\boxed{\boxed{\bf{2a^2b \sqrt[4]{24a^2b^3} }}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Cbf%7B2a%5E2b%20%5Csqrt%5B4%5D%7B24a%5E2b%5E3%7D%20%7D%7D%7D)
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So, we would need to remember a (key) point, <em>we aren't just multiplying, for the most part, we're simplifying. </em>
Our result:
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