What is the distance between the points (6,-3) and (6,5)?

Mathematics

2 answers:

siniylev [52]3 years ago

8 0

Answer:

Step-by-step explanation:

Usually we would have to use a formula to find the distance between the two points, however the x values of both coordinates are the same therefore we can find the distance between the two points by subtracting the smaller y value (-3 ) from the larger y value ( 5 )

Distance = 5 - ( - 3 )

* the two negative signs cancels out *

5 + 3 = 8

The distance between the two points is 8 units

Flauer [41]3 years ago

8 0

Answer:

Step-by-step explanation:

$\sqrt{(6-6)^{2}+(-3-5)^{2}}$

=> $\sqrt{64}$

=> 8

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The polynomial equation x cubed + x squared = negative 9 x minus 9 has complex roots plus-or-minus 3 i. What is the other root?

natta225 [31]

Answer:

-1

Step-by-step explanation:

The attached result from a graphing calculator shows the other root to be ...

x = -1

The "system of equations" consists of one equation for the left side function, and one equation for the right side function. The graphs of the two equations intersect at the point where the left and right parts of the given equation are equal to each other. The graphs intersect at x=-1.

<em>Additional comment</em>

We prefer to subtract one side of the equation from the other, so we have a single function whose value is 0 at the root of interest. Here, that would be ...

(x^3 +x^2) -(-9x -9) = 0

x^2 +x^2 +9x +9 = 0

We would graph y = x^3 +x^2 +9x +9 and have the graphing calculator identify the x-intercept. This is shown in the second attachment. No "system of equations" is required for this.