3 years ago

Which of the follow is true about the expression Sqrt 3 * sqrt 2

Mathematics

1 answer:

ahrayia [7]3 years ago

7 0

Were doing the same test its a.

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Find the equation of the line that contains the point (-1, -4) and is parallel to the line 6x+7y=13 . Write the equation in slo

sineoko [7]

Answer: $y=-\dfrac67x-\dfrac{34}{7}$

Step-by-step explanation:

Slope-intercept form: y=mx+c (i) , of linear equations, m= slope and c= y-intercept of the line.

6x+7y=13in slope intercept form would be :

$7y=13-6x\\\\\Rightarrow\ y=\dfrac{-6}{7}x+\dfrac{13}{7}$

Comparing to (i) , $m = \dfrac{-6}{7}$

Slope of parallel lines are equal.

So, slope of required line = $m = \dfrac{-6}{7}$

Equation of line with slope m and passes through point : $(y-b)=m(x-a)$

So, equation of required line:

$(y-(-4))=\dfrac{-6}{7}(x-(-1))\\\\\Rightarrow\ (y+4)=\dfrac{-6}{7}(x+1)\\\\\Rightarrow\ y+4=\dfrac{-6}{7}x-\dfrac{6}{7}\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{6}{7}-4\\\\\Rightarrow\ y=-\dfrac67x-\dfrac{34}{7}$

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Step-by-step explanation:

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A plane intersects this rectangular prism parallel to the prism’s base.

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