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3 years ago

Find the dimensions of a rectangle whose width is 5 miles less than its length and whose area is 84

Mathematics

1 answer:

Kipish [7]3 years ago

3 0

Answer: the length of the rectangle is 12 miles and the width is 12-5=7 miles.

Step-by-step explanation:

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Let u and v be the solutions to 3x^2 + 5x + 7 = 0. Find u/v+v/u

Hitman42 [59]

Answer: $\dfrac{-17}{21}$

Step-by-step explanation:

Given: u and v be are the solutions of $3x^2+5x+7=0$

Let $ax^2+bx+c=0$ is the quadratic equation and u and v are the zeroes/solutions then

Sum of zeroes; $u+v = \dfrac{-b}{a}$

Product of zeroes; $uv= \dfrac{c}{a}$

Comparing $3x^2+5x+7=0$ to $ax^2+bx+c=0$

we get a= 3 , b= 5 and c = 7

$u+v = \dfrac{-b}{a} = \dfrac{-5}{3}----(i)$

$uv= \dfrac{c}{a} = \dfrac{7}{3}----(ii)$

Now we have to find

$\dfrac{u}{v} +\dfrac{v}{u} =\dfrac{u^2+v^2}{uv}$ adding and subtracting 2uv in numerator we get

$= \dfrac{u^2+v^2+2uv-2uv}{uv}= \dfrac{(u+v)^2-2uv}{uv}$

Substituting the values from (i) and (ii) we get

$\dfrac{(\dfrac{-5}{3} )^2-2\times \dfrac{7}{3} }{\dfrac{7}{3} } = \dfrac{\dfrac{25}{9} -\dfrac{14}{3} }{\dfrac{7}{3} }= \dfrac{\dfrac{25-42}{9} }{\dfrac{7}{3}} =\dfrac{-17}{9} \times \dfrac{3}{7} = \dfrac{-17}{21}$

Hence, the value of $\dfrac{u}{v} +\dfrac{v}{u}$ is $\dfrac{-17}{21}$

5 0

4 years ago

For the equation 3x - 5y = -3, what is the value ofy when x is 1? 6/5 -6/5 5/6

Law Incorporation [45]

Answer:

y = 6/5

Step-by-step explanation:

3x - 5y = -3

Let x =1

3(1) - 5y = -3

3-5y = -3

Subtract 3 from each side

3-3-5y = -3-3

-5y = -6

Divide each side by -5

-5y/-5 = -6/-5

y = 6/5

8 0

3 years ago

Read 2 more answers

Can someone round this to the nearest tenth

Dominik [7]

Answer:

I think its A

Step-by-step explanation:

I did the math and thats what i got even rounded up

6 0

3 years ago

Can't figure out how to set up and check to see if right. 8/11(n-10)=64

strojnjashka [21]

Answer:

Step-by-step explanation:

$\frac{8}{11}(n-10)=64\\\\\frac{8(x-10)}{11}=64\\ 8(x-10) = 64(11)\\8(x-10) = 704\\8x-80 = 704\\8x= 704+80\\8x=784\\\\\frac{8x}{8}=\frac{784}{8} \\x=98$

7 0

3 years ago

Solve the system of equations. 3x – 7y = 5 9y = 5x + 5

Ulleksa [173]

The answer X= -10 y= -5
Hope this is helpful

3 0

3 years ago