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geniusboy [140]
2 years ago
6

If M is the midpoint of AB, A(-3, 4) and M(-1, 2) find the coordinates of B.

Mathematics
1 answer:
trapecia [35]2 years ago
3 0

Answer:

B(1,0)

Step-by-step explanation:

The midpoint of (a,b) and (c,d) is ((a+c)/2,(c+d)/2)

Essentially, you just average the x and y values.

So, the average of -3 and b_x is -1.

The average of 4 and b_y is 2.

So x=1 and y=0

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The sum of two numbers is 9. And the sum of their reciprocals is 1/2.find the numbers
Musya8 [376]
Set up a system of equations:

x + y = 9
1/x +1/y = 1/2

The easiest way to solve would be substitution.
x + y = 9 can be solved for y:

y = 9 - x

Then plug this into the second equation and solve for x:

1/x + 1/(9-x) = 1/2
(9-x) + x = x(9-x)/2
9 = (9x-x²)2
18 = 9x - x²
x² - 9x + 18 = 0
(x-6)(x-3) = 0
x = 6, 3

You can check your answer by plugging the two numbers back into both of the equations:

6 + 3 = 9
1/6 + 1/3 = 1/2

The two numbers are 6 and 3.
7 0
3 years ago
Nigel borrows $250 and pays 5.5% simple interest each year.If he pays back the money in on year what is the total amount that he
noname [10]
He pays about 45$ per year
5 0
3 years ago
Divide $960 into a ratio of 3:5 using the unitary method.
Bad White [126]

Answer:

$360 : $600

Step-by-step explanation:

If I'm understanding the problem right, you're looking for this to be put into a 3:5 ratio.

When doing problems like these, I'll add the two numbers in the ratio together, then divide the number (in this case 960) by the sum of the ratios, which in this case is 8.

From there you'd divide 960/8, which is 120. Based on that, you can assume 120 is equal to "1" in the ratio. Then multiply the base unit 1 by each one of the ratios.

120 x 3 = 360

120 x 5 = 600

The ratio will look like this: 360:600

hope this helps u and brainliest is always nice

7 0
3 years ago
Read 2 more answers
Find the least number which when divided by 6, 15 and 18 leave remainder 5 in each case. ( pls answer fast )
vagabundo [1.1K]

Answer:

95

Step-by-step explanation:

The smallest number that divided by 6, 15, and 18 leavses 5 in each case is 95

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2 years ago
Lisa family drove 830.76 miles to visit her grandpaerents.Lisa calculated that they used 30.1 gallons og gas .how many miles per
Irina-Kira [14]
830.76/30.1=27.6 miles
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3 years ago
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