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Naily [24]
2 years ago
14

Find the distance between the two points and simplest rational form (3,-4) (6,-7))

Mathematics
1 answer:
pychu [463]2 years ago
4 0

Answer:

D = 3\sqrt{2}

Step-by-step explanation:

Given

(x_1,y_1) = (3,-4)

(x_2,y_2) = (6,-7)

Required

Determine the distance between the two points

Distance (D) is calculated as:

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

Substitute values for x's and y's

D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}

D = \sqrt{(6 - 3)^2 + (-7 +4)^2}

D = \sqrt{(3)^2 + (-3)^2}

D = \sqrt{9+9}

D = \sqrt{18}

Express as 9 * 2

D = \sqrt{9*2}

Split:

D = \sqrt{9}*\sqrt{2}

D = 3*\sqrt{2}

D = 3\sqrt{2}

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Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as   x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

A quadratic equation is generally shown in the form of ax^{2} +bx + c = 0

For example, if you saw the equation  7x^{2} + 3x + 20 = 0

7 would be a, 3 would be b, and 20 would be c.

To solve the equation above, you would fill in the quadratic formula as such, x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}

Then you could solve for x.

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The discriminant is the equation under the square root on the quadratic formula, b^{2} - 4ac

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To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, 7x^{2} + 3x + 20 = 0

We will plug the values into the discriminant.

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