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3 years ago

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(Will give brainiest)5y - x = 104x - 4y = 112 = 6x + 3y

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kow [346]3 years ago

7 0

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The product of two number is 20 and the sum of square is 41 find the number

Marianna [84]

Let the two number is a and b

so,

product =ab=20

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,

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

$\bold{ (a-b)^2=41-4×20 }$

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

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

$\bold{a-b=1 }$ ••••••••(equation II)

Now,combine the equation I and equation II

we,get

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

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

$\bold{ 2a=10 }$

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

$\blue{\boxed{ a=5 }}$

Then,

put the value of a in equation II.

we get that,

$\bold{5-b=1 }$

$\bold{b+1=5 }$

$\bold{b=5-1 }$

$\bold{\boxed{\blue{b=4}} }$

<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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The product of -3x and (2x+5) is …

PolarNik [594]

$\huge{\boxed{\boxed{ Solution ⎇}}} \$

$- 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x$

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

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Work out the size of angle X

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It’s 60 because both lines are parallel

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What is the sum of the complex numbers 2 + 3i and 4 + 8i, where i = <br> −1<br> ?

kotykmax [81]

-1, -4 because 2+3(-1)= -1 and 4+8(-1)= -4

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