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LiRa [457]
3 years ago
10

I need help with this! I'll mark Brainliest if it's correct.

Mathematics
1 answer:
Sauron [17]3 years ago
5 0
Answers:
Coordinates of H are: (a,a)
The slope of segment GJ is: -1
The product of the slopes of the diagonals is: -1

-------------------------------------------------------

Explanation:

Point J has an x coordinate of x = a
Point G has a y coordinate of y = a
So point H has the coordinates (x,y) = (a,a)
We simply move straight up from point J to get to H. At the same time, we move horizontally across to go from G to H. This is why H has half the coordinates from each J and G

----------

As for the slope of GJ, we use the slope formula
m = (y2-y1)/(x2-x1)
m = (0-a)/(a-0)
m = -a/a
m = -1
So that shows why the slope of GJ is -1

Multiplying the slope of KH (1) and the slope of GJ (-1), we get
1 times -1 = -1
The product being -1 shows the diagonals KH and GJ are perpendicular. They form a 90 degree angle. 
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y=  -69/8  (negative 69 over 8)

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Next, multiply both sides by 3/(-2) (3 over -2)

(3/-2)*(-2/3y)= (3/-2) * (23/4)

<em><u></u></em>

<em><u>y= -69/8</u></em>

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<h3>Answer:</h3>
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<h3>Step-by-step explanation:</h3>

The vertex form of g(x) is ...

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<em>Vertex form</em>

You know the leading coefficient is -1 because that's what it is for x² in the given form. When you factor -1 from the first two terms, of the given form, you have ...

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<em>About transformations</em>

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... f₂(x) = f₁(x-3) = -(x -3)²

Finally, we have shifting up 4 units.

... g(x) = f₂(x) +4 = -(x -3)² +4

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