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Savatey [412]
3 years ago
13

-10c + 5 + 12c = -11

Mathematics
2 answers:
sveticcg [70]3 years ago
7 0

Answer:

c= -8

Step-by-step explanation:

-10c+5+12c= -11

2c+5= -11

2c= -16

c= -8

givi [52]3 years ago
6 0

Answer:

c = -8

Step-by-step explanation:

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The product of two number is 20 and the sum of square is 41 find the number​
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Let the two number is a and b

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sum of square=\bold{a^2+b^2=41   }

Then,

\bold{(a+b)^2=a^2+b^2+2ab  }

\bold{ (a+b)^2=41+2×40  }

\bold{ (a+b)^2=81  }

\bold{a+b=\sqrt{81}   }

\bold{a+b=9 }•••••••••(equation I)

Now,

\bold{(a-b)^2=a^2+b^2-4ab   }

\bold{ (a-b)^2=41-4×20  }

\bold{(a-b)^2=41-40   }

\bold{a-b=\sqrt{1}   }

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Now,combine the equation I and equation II

we,get

\bold{a+b+a-b=9+1   }

\bold{a+\cancel{b}+a\cancel{-b}=10   }

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\bold{a=\dfrac{10}{2}   }

\blue{\boxed{  a=5 }}

Then,

put the value of a in equation II.

we get that,

\bold{5-b=1   }

\bold{b+1=5   }

\bold{b=5-1   }

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<em><u>so</u></em><em><u>,</u></em><em><u> </u></em>

<em><u>The</u></em><em><u> </u></em><em><u>two</u></em><em><u> </u></em><em><u>number</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u> </u></em><em><u>5</u></em><em><u> </u></em><em><u>and</u></em><em><u> </u></em><em><u>4</u></em><em><u>.</u></em>

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3 years ago
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Can someone assist me with this?
Mnenie [13.5K]

Answer:

29: 7

Step-by-step explanation:

\frac{8}{3x - y}  =  \frac{5}{x + 3y}

<em>Cross</em><em> </em><em>multiply</em><em>:</em>

8(x + 3y) = 5(3x - y)

<em>Expand</em><em> </em><em>bracket</em><em>:</em>

8x + 24y = 15x - 5y

<em>Bring</em><em> </em><em>x</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>,</em><em> </em><em>y</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em>:</em>

15x - 8x = 24y + 5y

<em>Simplify</em><em>:</em>

<em>7x = 29y</em>

<em>Divide</em><em> </em><em>by</em><em> </em><em>7</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>

x =  \frac{29}{7} y

<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>y</em><em>:</em>

<em>\frac{x}{y}  =  \frac{29}{7}</em>

∴ The ratio of x to y is 29:7.

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Answer:

A

Step-by-step explanation:

The measure of angle D can be found using the Interior Angle Sum of a Triangle.

The angles of a triangle add to 180. This means:

90 + 21 + x = 180.

111 + x = 180

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Answer:

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Step-by-step explanation:

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