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2 years ago

14

ANSWER NOW PLEASE

1 answer:

abruzzese [7]2 years ago

5 0

Given,

Total number of votes casted = 42,000

The winner received 3/5 of the votes.

To find,

How many votes did the winner not receive.

Solution,

Votes received by the winner is :

$\dfrac{3}{5}\times 42000\\\\=25200$

Votes didn't received by the winner = Total votes - votes received

= 42,000 -25200

= 16800

Hence, 16800 votes is not received by the winner.

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Solve for v: -10=-5/4v

vagabundo [1.1K]

Answer:

v = 8

Step-by-step explanation:

-10= -5/4v first multiply both sides of the equation by -4/5

-10(-4/5) = v this cancels out the right side.

multiply the left side.

so you are left with 40/5 = v

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2 years ago

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The length of a standard-sized rectangular rug is 2 feet longer than the width. Let x be the width. Which of the following quad

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Step-by-step explanation:

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3 years ago

NO LINKS! Help me with this problem

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${\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve ~

Equation of directrix is : y = 1, so we can say that it's a parabola of form : -

$\qquad \sf \dashrightarrow \: (x - h) {}^{2} = 4a(y - k)$

h = x - coordinate of focus = -4

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$\qquad \sf \dashrightarrow \: (x - ( - 4)) {}^{2} = 4(2)(y - 5)$

$\qquad \sf \dashrightarrow \: (x + 4) {}^{2} = 8(y - 5)$

$\qquad \sf \dashrightarrow \: {x}^{2} + 8x + 16 = 8y - 40$

$\qquad \sf \dashrightarrow \: 8y = {x}^{2} + 8x + 56$

$\qquad \sf \dashrightarrow \: y = \cfrac{1}{8} {x}^{2} + x + 7$

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1 year ago

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If z = 38 and x = 110, then what is the value of y?

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Step-by-step explanation:

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2 years ago

Suppose a, b denotes of the quadratic polynomial x² + 20x - 2022 & c, d are roots of x² - 20x + 2022 then the value of ac(a

Alja [10]

<h3><u>Correct Question :- </u></h3>

$\sf\:a,b \: are \: the \: roots \: of \: {x}^{2} + 20x - 2020 = 0 \: and \: \\ \sf \: c,d \: are \: the \: roots \: of \: {x}^{2} - 20x + 2020 = 0 \: then \:$

$\sf \: ac(a - c) + ad(a - d) + bc(b - c) + bd(b - d) =$

(a) 0

(b) 8000

(c) 8080

(d) 16000

$\large\underline{\sf{Solution-}}$

Given that

$\red{\rm :\longmapsto\:a,b \: are \: the \: roots \: of \: {x}^{2} + 20x - 2020 = 0}$

We know

$\boxed{\red{\sf Product\ of\ the\ zeroes=\frac{Constant}{coefficient\ of\ x^{2}}}}$

$\rm \implies\:ab = \dfrac{ - 2020}{1} = - 2020$

And

$\boxed{\red{\sf Sum\ of\ the\ zeroes=\frac{-coefficient\ of\ x}{coefficient\ of\ x^{2}}}}$

$\rm \implies\:a + b = - \dfrac{20}{1} = - 20$

Also, given that

$\red{\rm :\longmapsto\:c,d \: are \: the \: roots \: of \: {x}^{2} - 20x + 2020 = 0}$

$\rm \implies\:c + d = - \dfrac{( - 20)}{1} = 20$

and

$\rm \implies\:cd = \dfrac{2020}{1} = 2020$

Now, Consider

$\sf \: ac(a - c) + ad(a - d) + bc(b - c) + bd(b - d)$

$\sf \: = {ca}^{2} - {ac}^{2} + {da}^{2} - {ad}^{2} + {cb}^{2} - {bc}^{2} + {db}^{2} - {bd}^{2}$

$\sf \: = {a}^{2}(c + d) + {b}^{2}(c + d) - {c}^{2}(a + b) - {d}^{2}(a + b)$

$\sf \: = (c + d)( {a}^{2} + {b}^{2}) - (a + b)( {c}^{2} + {d}^{2})$

$\sf \: = 20( {a}^{2} + {b}^{2}) + 20( {c}^{2} + {d}^{2})$

$\sf \: = 20\bigg[ {a}^{2} + {b}^{2} + {c}^{2} + {d}^{2}\bigg]$

We know,

$\boxed{\tt{ { \alpha }^{2} + { \beta }^{2} = {( \alpha + \beta) }^{2} - 2 \alpha \beta \: }}$

So, using this, we get

$\sf \: = 20\bigg[ {(a + b)}^{2} - 2ab + {(c + d)}^{2} - 2cd\bigg]$

$\sf \: = 20\bigg[ {( - 20)}^{2} + 2(2020) + {(20)}^{2} - 2(2020)\bigg]$

$\sf \: = 20\bigg[ 400 + 400\bigg]$

$\sf \: = 20\bigg[ 800\bigg]$

$\sf \: = 16000$

Hence,

$\boxed{\tt{ \sf \: ac(a - c) + ad(a - d) + bc(b - c) + bd(b - d) = 16000}}$

<em>So, option (d) is correct.</em>

4 0

2 years ago