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2 years ago

If GH has endpoints G(-8, 1) and H(4, 5), then the midpoint M of GH lies on the line y=-x+1

Mathematics

2 answers:

Gnoma [55]2 years ago

8 0

The midpoint of GH is (-2, 3), and that point satisfies the equation because

3 = -(-2) + 1
3 = 2 + 1
3 = 3

Elanso [62]2 years ago

8 0

Answer:

Step-by-step explanation:

If GH has a midpoint M(x, y) then we have to determine whether midpoint M lies on the given line y = -x + 1

Since coordinates of G and H are (-8, 1) and (4, 5) so coordinates of the midpoint M will be

x = $\frac{(-8+4)}{2}$ = -2

and y coordinates of point M will be

y = $\frac{(1+5)}{2}$ = 3

Therefore point M is (-2, 3).

Now we plug in the values of x and y in the given equation.

3 = -(-2) + 1

3 = 3

Hence it is proved that the midpoint M of segment GH will lie on the line y = -x + 1

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2 years ago

Read 2 more answers

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Answer:

Step-by-step explanation

let's use g for golf and b for batting cages

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SO his equation is 5g+4b=60

Now onto Lin

3g for 3 rounds of golf

6b for 6 turns in the batting cages

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Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5

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2 years ago

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Answer:

Step-by-step explanation:

pick like terms

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x + b/2a -b/2a = {√( b²-4ac) / 2a } -b/2a

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the l.c.m is the same

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2 years ago

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Answer:

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2 years ago

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Answer:

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