3 years ago

3=7x-10 what does x equal

Mathematics

1 answer:

Ghella [55]3 years ago

8 0

3=7x-10

Answer: x = 13/7

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2(3 + x) – x(7 + x)<br> if x = 3<br> Pls someone answer and work

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find the equation of the perpendicular bisector of segment ab with endpoints a=2,2 and b=-4,6 if the perpendicular bisector inte

aleksklad [387]

Equation of perpendicular bisector is , $y=\frac{3}{2} x+\frac{11}{2}$

Length of both pa and pb are $\sqrt{\frac{65}{4} }$ unit.

Slope of segment ab is, $\frac{6-2}{-4-2} =-\frac{2}{3}$

So, slope of perpendicular bisector will be, negative of reciprocal of slope of segment ab.

Therefore, slope of perpendicular bisector is, $\frac{3}{2}$

Since, perpendicular bisector passes through the mid point of segment ab.

So, coordinate of mid point of segment ab is,

$(\frac{2-4}{2},\frac{2+6}{2} )=(-1,4)$

Thus, perpendicular bisector of ab passing through (- 1, 4) and have slope 3/2.

So, equation of angle bisector is,

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Since, the perpendicular bisector intersects the y-axis at point p

So, coordinate of point p is (0, 11/2)

By applying distance formula,

$pa=\sqrt{(2-0)^{2}+(2-11/2)^{2} }\\\\ =\sqrt{4+\frac{49}{4} }\\\\ =\sqrt{\frac{65}{4} }$

$pb=\sqrt{(-4-0)^{2}+(6-11/2)^{2} }\\\\ =\sqrt{16+\frac{1}{4} }\\\\ =\sqrt{\frac{65}{4} }$

Learn more,

https://brainly.in/question/31510165

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