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Roman55 [17]
2 years ago
7

1. The equation of the locus of a point which is always equidistant from the points (a + b, a - b) and (a - b, a + b) is a) x -

a=0 b) x - y = 0 c) y + x = 0 d) x + y = a + b​
Mathematics
1 answer:
valina [46]2 years ago
8 0

Answer:

c). y + x = 0

Step-by-step explanation:

The locus is a line perpendicular to the line connecting the 2 points and passing through the centre of the line.

The mid-point of the line connecting the given points is:

(a + b + a - b)/2 , (a - b + a + b) / 2

= (a, a)

It's slope = (a + b)- (a - b) / (a - b)- (a + b)

= 2b/ -2b

= -1

So the slope of the line we want is -1/(-1) = 1.

Using the point-slope form of a line:

y - y1 = m(x - x1)

y - a = 1(x - a)

y - a = x - a

x + y = 0

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Plz help me!!! 56 points and brainliest!!!
dsp73

Answer:

For this equation to be true, a must = 13 and b must = 10 + 2i.

Step-by-step explanation:

First combine the numerators:  3 + 5 + 2i + 2, or 10 + 2i.

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4 0
3 years ago
Show me how to put 87 24/25 as a decimal
lapo4ka [179]
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=87•25/25+24/25
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Kristy earns $134 each day she works. Every day she spends $8 on breakfast and $12 on lunch. How much money will she have in 25
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Answer:

Money she have in 25 days = $2850

Money she have in 50 days = $5700

Step-by-step explanation:

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Reaming about each day = $134 - $20

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Money she have in 25 days = 25 x $114

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Money she have in 50 days = 50 x $114

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3 years ago
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