Mathematics: Find the possible values for a if the points with the given coordinates are indicated distance apart. question 31. (-9, -2), (a, 5); d=7

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Find the possible values for a if the points

Ответ:

aileenzerr9664

04.01.2022

Mathematics

a=-9

Step-by-step explanation:

The distance between two points can be calculated with the formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Knowing that the poins are (-9, -2) and (a, 5), and the distance between these two points is 7, you can substitute values into the formula and solve for "a":

$7=\sqrt{(a-(-9)^2+(5-(-2))^2}\\\\7=\sqrt{(a+9)^2+49}$

Square both sides of the equation:

$(7)^2=(\sqrt{(a+9)^2+49}})^2\\\\49=(a+9)^2+49\\\\0=(a+9)^2$

Remember that the Square of a binomial is: (a+b)^2=a^2+2ab+b^2 .

When a quadratic is the square of a binomial, then the roots are equal. This is called "Double root".

Therefore:

a=-9

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Find the possible values for a if the points with the given coordinates are indicated distance apart.

question 31. (-9, -2), (a, 5); d=7

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