Witam daje tak dużo punktów ,że nie pozwole sobie nawet na 1 błąd!!! otusz chcę aby wszystko było zrobione bezbłędnie a na dodatek do każdego zadania ma być zrozumiale napisane jak zrobić czyli tak jakby korepetycje wszystko ma być bezbłędnie zrobione wraz z tłumaczeniem. TE ZADANIA Z TŁUMACZENIEM NAJLEPIEJ ŻEBY ZROBILI SAMI MATEMATYCY Z WYSOKĄ RANGĄ!!! daje naj !! :D
jak będzie coś nie widoczne proszę pisać. choć wszystko powinno być widać bo można przybliżać zdjęcie.
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4)
a) 5² = 25
(-2)² =4
(-12)² = 144
(-3)² = 9
11² = 121
b)(⅔)² = 4/9
(4/11)²= 16 /121
(-6/7)²=36/49
(11/13)²=121/169
(-10/1)²=100
c) (4½)² = (9/2)² = 81/4
(-3⅖)² = (-17/5)² = 289 /25
(2⅙)²=(13/6)²=169/36
(-5 1/7)²=(-36/7)²1296/49
(4⅔)²=(14/3)²=196/9
5)
a)5³=125
3³=27
(-6)³=-216
(-4)³=-64
2³=8
b)(1/3)³=1/27
(8/9)³=512/729
(4/7)³=64/343
(-5/8)³=-125/512
(-1/5)³=-1/125
Potęga o wykładniku ujemnym :
a)
b)
c)![[(4+4^{-1})^{-1}+4]^{-1}=[(4+\frac{1}{4})^{-1}+4]^{-1}=[(4\frac{1}{4})^{-1}+4]^{-1}=(\frac{17}{4})^{-1}+4]^{_1}=(\frac{4}{17})+4]^{-1}=(4\frac{4}{17})^{-1}=(\frac{72}{17})^{-1}=\frac{17}{72} [(4+4^{-1})^{-1}+4]^{-1}=[(4+\frac{1}{4})^{-1}+4]^{-1}=[(4\frac{1}{4})^{-1}+4]^{-1}=(\frac{17}{4})^{-1}+4]^{_1}=(\frac{4}{17})+4]^{-1}=(4\frac{4}{17})^{-1}=(\frac{72}{17})^{-1}=\frac{17}{72}](https://tex.z-dn.net/?f=%5B%284%2B4%5E%7B-1%7D%29%5E%7B-1%7D%2B4%5D%5E%7B-1%7D%3D%5B%284%2B%5Cfrac%7B1%7D%7B4%7D%29%5E%7B-1%7D%2B4%5D%5E%7B-1%7D%3D%5B%284%5Cfrac%7B1%7D%7B4%7D%29%5E%7B-1%7D%2B4%5D%5E%7B-1%7D%3D%28%5Cfrac%7B17%7D%7B4%7D%29%5E%7B-1%7D%2B4%5D%5E%7B_1%7D%3D%28%5Cfrac%7B4%7D%7B17%7D%29%2B4%5D%5E%7B-1%7D%3D%284%5Cfrac%7B4%7D%7B17%7D%29%5E%7B-1%7D%3D%28%5Cfrac%7B72%7D%7B17%7D%29%5E%7B-1%7D%3D%5Cfrac%7B17%7D%7B72%7D)
d)
e)![[5^{-2}+(\frac{1}{10})^{2}]^{-1}=[(\frac{1}{5})^{2}+\frac{1}{100}]^{-1}=(\frac{1}{25}+\frac{1}{100})^{-1}=(\frac{4}{100}+\frac{1}{100})^{-1}=(\frac{5}{100})^{-1}=\frac{100}{5}=20 [5^{-2}+(\frac{1}{10})^{2}]^{-1}=[(\frac{1}{5})^{2}+\frac{1}{100}]^{-1}=(\frac{1}{25}+\frac{1}{100})^{-1}=(\frac{4}{100}+\frac{1}{100})^{-1}=(\frac{5}{100})^{-1}=\frac{100}{5}=20](https://tex.z-dn.net/?f=%5B5%5E%7B-2%7D%2B%28%5Cfrac%7B1%7D%7B10%7D%29%5E%7B2%7D%5D%5E%7B-1%7D%3D%5B%28%5Cfrac%7B1%7D%7B5%7D%29%5E%7B2%7D%2B%5Cfrac%7B1%7D%7B100%7D%5D%5E%7B-1%7D%3D%28%5Cfrac%7B1%7D%7B25%7D%2B%5Cfrac%7B1%7D%7B100%7D%29%5E%7B-1%7D%3D%28%5Cfrac%7B4%7D%7B100%7D%2B%5Cfrac%7B1%7D%7B100%7D%29%5E%7B-1%7D%3D%28%5Cfrac%7B5%7D%7B100%7D%29%5E%7B-1%7D%3D%5Cfrac%7B100%7D%7B5%7D%3D20)
f)
PIerwiastki
a) =√9=3
=18
=10
=6
=-5
=-1
b)=4/9
=11/14
=4/3
=-7/10
=-0,2
c)=√100/49=10/7
=√81/25=9/5
=∛125/64=5/4
=-0,08
=-0,6
załącznik 4
a)√144
b)√81/121
c)√16/9
d)√0,25
e)∛27
f)∛-0,001
g)√1/16
h)∛1728
i)2,197
Ostatni załącznik ;
1)
a)10²+x²=26²
100+x²=676
x²=676-100
x²=576
x=24
b)35²+a²=37²
1225+a²=1369
a²=1369-1225
a²=144
a=12
2)
a)5²+12²=x²
25+144=x²
x²=169
x=13 dm
b)9²+40²=x²
81+1600=x²
x²=1681
x=√1681 m
c) 7² + 24² =x²
x²= 49+576
x²=625
x=25 cm
3)
x²+15²=17²
x² + 225 = 289
x² = 289 - 225
x² = 64
x = 8 cm
4)
przeciwprostokątna : 3,7 m =37dm
przyprostokątna : 3,7 m - 2 dm = 37dm - 2 dm = 35 dm
35² + x² = 37²
1225 + x² = 1369
x² = 1369 - 1225
x² = 144
x = 12 dm
5)
a=6cm
b=6cm + 2cm = 8cm
6² + 8² = d²
d² = 36 + 64
d²= 100
d= 10 cm
6)
Załącznik
3²+4²=x²
x²=9+16
x²=25
x=5