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GrogVix [38]
2 years ago
9

Write each ratio in simplest terms.

Mathematics
1 answer:
scZoUnD [109]2 years ago
5 0

a) 2:3

c) 4:1

e) 2:1

g) 10:1

i) 60:1

b) 24: 1

d) 8:1

f) 3:4

h) 100:1

j) 20:1

Step-by-step explanation:

a) 10:15 then divide each by 5 bc its a common denominator

c) 20:5 then divide each by 5 bc its a common denominator

e) 12:6 then divide each by 6 bc its a common denominator

g) 40:4 then divide each by 4 bc its a common denominator

i) 600:10 then divide each by 10 bc its a common denominator

b) 72:3 then divide each by 3 bc its a common denominator

d) 40:5 then divide each by 5 bc its a common denominator

f) 60:80 then divide each by 20 bc its a common denominator

h) 500:5 then divide each by 5 bc its a common denominator

j) 60:3 then divide each by 3 bc its a common denominator

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2.\\ \\ z^2-z=0\\ \\z(x-1)=0\\ \\z=0 \ \ \ or \ \ \ z-1 =0 \ \ | +1\\ \\z-1+1 =0 +1 \\ \\x=0 \ \ \ or \ \ \ z=1


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4.\\ \\z^2-3z=0 \\ \\ (z-3)=0\\ \\z=0 \ \ \ or \ \ \ z-3 =0\ \ |+3\\ \\ z-3+3=0+3\\ \\z=0 \ \ \ or \ \ \ z=3


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6.\\ \\k^2+2k=0\\ \\k(k+2)=0\\ \\k=0 \ \ \ or \ \ \ k+2 =0\ \ |-2\\ \\k+2-2=0-2\\ \\k=0 \ \ \ or \ \ \ k=-2


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x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{3+\sqrt{289}}{2 }=\frac{ 3+17}{2}=\frac{20}{2}=10\\ \\(x+7)(x-10)=0


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9.\\ \\z^2+9z-36=0 \\ \\a=1,\ b=9, \ q=-36 \\ \\\Delta =b^2-4ac = 9^2-4\cdot 1\cdot (-36)= 81+144=225\\ \\ x_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{-9-\sqrt{225}}{2 }=\frac{ -9-15}{2}=\frac{-24}{2}=-12

x_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{-9+\sqrt{225}}{2 }=\frac{ -9+15}{2}=\frac{6}{2}=3\\ \\(x+11)(x-3)=0


10.\\ \\d^2-13d+22=0 \\ \\a=1,\ b=-13, \ q=22 \\ \\\Delta =b^2-4ac = (-13)^2-4\cdot 1\cdot 22= 169-88=81\\ \\ d_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{13-\sqrt{81}}{2 }=\frac{ 13-9}{2}=\frac{4}{2}=2

d_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{13+\sqrt{81}}{2 }=\frac{ 13+9}{2}=\frac{22}{2}=11\\ \\(d-2)(d-11)=0


7 0
3 years ago
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steposvetlana [31]

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Hope this helped!

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inysia [295]

Step-by-step explanation:

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2 years ago
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astraxan [27]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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