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3 years ago

what is the equation of the line passing through the point (4,1) that is parallel to the line with the equation 6x - 3y = 21

Mathematics

1 answer:

Rashid [163]3 years ago

7 0

The correct answer is A hope this helps

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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

3 years ago

Which is shorter, 60 meters or 600 centimeters?

Flura [38]

Your answer would be 600 centimeters. If you look at a ruler you'll see that there are centimeters and no meters because you'll need 100 cm.

6 0

3 years ago

Read 2 more answers

Which of the following questions is UNBIASED ?? A) Is soccer your favorite sport to wash ? B)Do you like watching boring sports

anyanavicka [17]

The answer would be D

5 0

3 years ago

A recipe that serves 8 people requires 1 and one fourth cups of sugar. Using this recipe, how many cups of sugar are needed to

docker41 [41]

Answer:

3 1/8 or 3.125.

Step-by-step explanation:

First you would change 1 1/4 to 5/4. Then you would make a proportion of 5/4 or I like to use decimals, 1.25, over 8. Your proportion would look like: 1.25/8 = x/20. Then cross multiply 1.25 and 20 then divide your product by 8. Your final answer is 3.125 or 3 1/8. Hope this helps!

4 0

3 years ago

Please help me with this !!!!!!!!!!!!!!!!

sergij07 [2.7K]

Answer:

option D. 29

Step-by-step explanation:

since the selling price per mow on weekdays is 45 so divide the total earned with the price

1305 / 45 = <em>29</em>

<em>this is the answer</em>

4 0

3 years ago