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Mathematics

1 answer:

Finger [1]3 years ago

8 0

side of the triangle = 12 inches

side of the square = 8 inches

12 is 4 more than 8

perimeter of the square = 4(8) =32 inches

perimeter of the triangle = 3(12) = 36 inches

36 is 4 more than 32

Let T= side of the triangle and S = side of the square

3T = 4S+4

T=S+4

3(S+4) = 4S+4

3S+12 = 4S +4

4S-3S = S = 12-4 = 8

T =8+4 = 12

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Yuki888 [10]

Answer:

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6 0

3 years ago

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Cerrena [4.2K]

6 - 2х² = 6 - 2(-8)² = 6 - 2(64) = 6 - 128 = -122

$\displaystyle\tt a^{11}\cdot a^{14}=a^{11+14}=a^{25}\\\\a^{18}:a^{14}=a^{18-14}=a^4\\\\(a^5)^4=a^{5\cdot4}=a^{20}\\\\(5x)^4=5^4\cdot x^4=625x^4\\\\\bigg(\frac{a}{3}\bigg)^6=\frac{a^6}{3^6}=\frac{a^6}{729}$

$\displaystyle\tt \frac{14^{16}\cdot14^{6}}{14^{21}}=14^{16+6-21}=14^1=14\\\\\\ \frac{7^{8}\cdot7^{5}}{7^{11}}=7^{8+5-11}=7^2=49\\\\\\ (12^2-11^2)^2+(6^5+2^9)^0=(144-121)^2+1=23^2+1=529+1=530$

$\displaystyle\tt 3^{8x}=81\\\\3^{8x}=3^4\\\\8x=4\\\\x=\frac{4}{8}=\frac{1}{2}=0.5$

$\displaystyle\tt \frac{64^{6}}{4^{4}\cdot4^{16}}=\frac{(4^3)^{6}}{4^{4+16}}=\frac{4^{3\cdot6}}{4^{20}}=\frac{4^{18}}{4^{20}}=\frac{1}{4^{2}}=\frac{1}{16}$