Odpowiedź:
14.
7 x² - ( 5 + x)*(5 + 7 x) = 0
7 x² - ( 25 +35 x + 5 x + 7 x² ) = 0
7 x² - 25 - 40 x - 7 x² = 0
40 x = - 25 / : 40
x = - 0,625 = - [tex]\frac{5}{8}[/tex]
===============
15.
p = 5 k
k = s - 5 ⇒ s = k + 5
więc
k + s + p = 21,80
k + ( k + 5 ) + 5 k = 21,80
7 k + 5 = 21,80 / - 5
7 k = 16,80 / : 7
k = 2,40
-----------------
p = 5*2,40 = 12,00
------------------------------
s = 2,40 + 5 = 7,40
---------------------------
Kubek kosztował 2,40 zł, pasta 12 zł, a szczoteczka 7,40 zł.
======================================================
16,
a) [tex]k_{50} = 3*50 = 150[/tex] [tex]k_{49} = 3*49 = 147[/tex]
150 - 147 = 3
=================
b) [tex]k_{g60} =3*60 = 180[/tex] [tex]k_{o60} = 2*60 = 120[/tex]
180 =120 = 60
============
17.
a) s = ( 4*12 + 8*7 ) cm = ( 48 + 56 ) cm = 104 cm
---------------------------------------------------------------------
b) h² +20² = 29²
h² = 841 - 400 = 441
h = [tex]\sqrt{441} = 21[/tex]
s = 6*20 + 3*21 = 120 + 63 = 183
=================================
18.
c = 2π*r = π*d = 2π cm / : π
d = 2 cm
=========
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Verified answer
Odpowiedź:
14.
7 x² - ( 5 + x)*(5 + 7 x) = 0
7 x² - ( 25 +35 x + 5 x + 7 x² ) = 0
7 x² - 25 - 40 x - 7 x² = 0
40 x = - 25 / : 40
x = - 0,625 = - [tex]\frac{5}{8}[/tex]
===============
15.
p = 5 k
k = s - 5 ⇒ s = k + 5
więc
k + s + p = 21,80
k + ( k + 5 ) + 5 k = 21,80
7 k + 5 = 21,80 / - 5
7 k = 16,80 / : 7
k = 2,40
-----------------
p = 5*2,40 = 12,00
------------------------------
s = 2,40 + 5 = 7,40
---------------------------
Kubek kosztował 2,40 zł, pasta 12 zł, a szczoteczka 7,40 zł.
======================================================
16,
a) [tex]k_{50} = 3*50 = 150[/tex] [tex]k_{49} = 3*49 = 147[/tex]
150 - 147 = 3
=================
b) [tex]k_{g60} =3*60 = 180[/tex] [tex]k_{o60} = 2*60 = 120[/tex]
180 =120 = 60
============
17.
a) s = ( 4*12 + 8*7 ) cm = ( 48 + 56 ) cm = 104 cm
---------------------------------------------------------------------
b) h² +20² = 29²
h² = 841 - 400 = 441
h = [tex]\sqrt{441} = 21[/tex]
s = 6*20 + 3*21 = 120 + 63 = 183
=================================
18.
c = 2π*r = π*d = 2π cm / : π
d = 2 cm
=========
Szczegółowe wyjaśnienie: