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3 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(6,4) and K(2,8).

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

7 0

Answer:

The midpoint is (4,6)

Step-by-step explanation:

When we have 2 points, we can find the midpoint by using the formula

midpoint = (x1+x2)/2, (y1+y2)/2

= (6+2)/2, (4+8)/2

= (8/2), 12/2

= 4,6

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BlackZzzverrR [31]

A subtracted from b means b-a

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3 years ago

What is the equation, in standard form, of a parabola that models the values in the table?

love history [14]

Answer:

$Y=4x^2+3x-6$

Step-by-step explanation:

For the standard form equation to model the values in the table, each value of x in the table should give the matching the y value when substituted into the equation. We will test each equation:

$Y=3x^2+4x-6$ for (-2,4)

$Y=3(-2)^2+4(-2)-6=3(4)+-8-6=12+-8-6=-2\\$

This does not give 4 as the answer and is not a solution.

$Y=4x^2+3x-6$ for (-2,4)

$Y=4(-2)^2+3(-2)-6=4(4)+-6-6=16+-6-6=-4\\$

This does give 4 as the answer and is a possible solution.

$Y=4x^2-3x-6$ for (-2,4)

$Y=4(-2)^2-3(-2)-6=4(4)+6-6=16+6-6=16\\$

This does not give 4 as the answer and is not a solution.

$Y=-4x^2-3x-6$ for (-2,4)

$Y=-4(-2)^2-3(-2)-6=-4(4)+6-6=-16+6-6=-16\\$

This does not give 4 as the answer and is not a solution.

The only possible solution is $Y=4x^2+3x-6$

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Answer:

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Step-by-step explanation:

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