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3 years ago

Find the other endpoint given the following Endpoint: (5,-3) Midpoint: (7,-6)

Mathematics

1 answer:

dusya [7]3 years ago

7 0

The answer is (9, -9) for The second endpoint.

Let's start by calling the known endpoint L and the unknown K. We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 5)/2 = 7

Kx + 5 = 14

Kx = 9

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -3)/2 = -6

Ky + 3 = -12

Ky = -9

This gives us the final point of (9, -9)

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sleet_krkn [62]

Answer:

Vertex: (2,-2)

Axis of symmetry: x=2

Step-by-step explanation:

The vertex is the maximum or minimum point of a quadratic, which we can see on the graph is (2,-2).

The axis of symmetry is the line about which the graph of the parabola is symmetric, which is the line x=2.

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3 years ago

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Find the greatest common factor: 4ab^2 c^4-2a^2 b^3 c^2+6a^3 b^4 c

Tatiana [17]

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3 years ago

Which expression is the completely factored form of the expression x2 − 3x − 28? A. (x − 7)(x + 4)

vovangra [49]

Answer: A. (x-7)(x+4)

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4 years ago

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Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.

frutty [35]

Answer:

(x - 5) (x - 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (-12x) into two terms that can be added to get -12x, and multiplied to get 35:

$x^2$ - 12x + 35

$x^2$ -7x - 5x + 35

Group:

( $x^2$ -7x) (-5x + 35)

Take out the GCF (Greatest Common Factor):

x(x - 7) -5(x - 7)

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Helen [10]

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