Forum serwisu

josselyn

\(P(A)= \frac{3^3}{6^3} =(0.5)^3= \frac{1}{8}\)

josselyn

\(0,0,0,0,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,3,3,3\\
M=1\)

josselyn

\(6\\
16g-800kcal\\
24g-x kcal\\
16x=800 \cdot 24\\
x=1200\)

josselyn

AB\\-x+2y+1=0\\ 2y=x-1\\ y=0.5x-0.5\\ SC\\ y=-2x+c\\ -2=-10+c\\ c=8\\ y=-2x+8\\ AB i CS:\\ y=0.5x-0.5\\ y=-2x+8\\ -\\ ------\\ 0=2,5x-8.5\\ 2.5x=8.5\\ 5x=17\\ x=3.4 \\ y=-6.8+8=1.2\\ S(3,4;1.2)\\ B(x;0.5x-0.5)\\ |SB|=0.5W= \sqrt{(x-3.4)^2+(0.5x-0.5-1.2)^2} \\ 0.25W^2=(x-3.4)^2+(0.5x-0.5-1.2)^2 Rozw...

josselyn

Co trzeba obliczyć?

josselyn

\(1\\
a_n=2+(n-1)3=2+3n-3=3n-1\\
b_n=5 \cdot 4^{n-1}\\
b_1=5\\
a_2=6-1=5\\
b_1=a_2\\
b_2=5 \cdot 4=20\\
a_7=21-1=20\\
b_2=a_7\\
5 \cdot 4^{k-1}=3n-1\\
5 \cdot 4^{k-1}+1=3n\\
n= \frac{5 \cdot 4^{k-1}+1}{3} \\\)

josselyn

\(x-Jacek\\
2x-brat\\
\frac{x+s}{12}=y\\
\frac{2x+s}{12}=y+1\\
\frac{2x+s}{12}= \frac{x+s}{12}+1 \\
\frac{x}{12}=1\\
x=12\)

josselyn

\(f(x)=2|x+3|+|x-1|\\
x<-3\\
f(x)=2(-x-3)+(-x+1)=-2x-6-x+1=-3x-5\\
x \in <-3;1>\\
f(x)=2(x+3)-x+1=2x+6-x+1=x+7\\
x>1\\
f(x)=2(x+3)+(x-1)=2x+6+x-1=3x-5\)
Teraz rysujesz i odczytujesz z wykresu
\(f(-3)=4\)

josselyn

\(V= \frac{1}{3}PpH= \frac{1}{3}a^2H= \frac{1}{3} \cdot (1,3)^2 \cdot 90 =50,7cm^3\)

josselyn

\(Pp=0.5 \cdot 6 \cdot 2,5=7,5\\
V=PpH=7,5 \cdot 6=45\\
6^2+(2,5)^2=c^2\\c^2=42,25\\c=6,5\\
P_c=2Pp+Pb=2 \cdot 7,5+(6+2,5+6,5)6=15+90=105\)

josselyn

S=(0.5(1+3);0.5(6-2))=(2;2)\\ AC:\\ -2=a+b\\ 6=3a+b\\ -\\ -----\\ 8=2a\\ a=4\\ -2=4+b\\ b=-6\\ y=4x-6\\ BD:\\ y=-0.25x+c\\ 2=-0.5+c\\ c=2.5\\ y=-0.25x+2.5\\ B(x,-0.25x+2.5)\\ |AS|= \sqrt{1+4^2}= \sqrt{17} \\ |AS|=|BS|\\ \sqrt{17} = \sqrt{(x-2)^2+(-0.25x+2.5-2)^2} \\ 17=x^2-4x+4+(-0.25x+0.5)^2\\ 17=...

josselyn

Powstaną : walec i 2 takie same stożki x=0.5(b-a)\\ tg \alpha = \frac{h}{x}\\ h=xtg \alpha =0.5(b-a)tg \alpha \\ cos \alpha = \frac{x}{c} c= \frac{x}{cos \alpha } = \frac{0.5(b-a)}{cos \alpha } r_s=h=0.5(b-a)tg \alpha\\ h_s=x=0.5(b-a)\\ l_s=c= \frac{0.5(b-a)}{cos \alpha } \\ r_w=h=0.5(b-a)tg \alpha\...

josselyn

\(y=ax+b\\
0=2a+b\\
b=-2a\\
y=ax-2a\\
y-ax+2a=0\\
S(-1,1), r= \sqrt{5}\\
\sqrt{5}= \frac{|1+a+2a|}{ \sqrt{1+a^2} } \\
5(1+a^2)=(1+3a)^2\\
5+5a^2=1+6a+9a^2\\
0=4a^2+6a-4/:2\\
0=2a^2+3a-2=0\\\)
\(\Delta =25\\
a_1=-2\\
a_2=0.5\\
y=-2x+4\\
y=0.5x-1\)

josselyn

\(x=0.5(14-6)=4\\
x^2+h^2=10^2
\\
h^2=100-16=84\\
h=2 \sqrt{21}\\
P=0.5(14+6)2 \sqrt{21}=20 \sqrt{21}\)

josselyn

\(a\\
P(A)= \frac{9}{36}=0.25\)

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