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3 years ago

Find the midpoint of a and b when a has coordinates (-5,3) and b has coordinates (3,-1)

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

3 0

Answer:

The midpoint is (2 , 1)

Step-by-step explanation:

To find the midpoint, we have to add the corresponding coordinates

[(-5 , 3) + (3 , -1)] / 2

we separate into the corresponding

(-5 + 3) / 2 =

-2 / 2 = -1

(3 - 1) / 2 =

2 / 2 = 1

The midpoint is (2 , 1)

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Y is inversely proportional to x.

Inessa [10]

Answer:

1. $xy = 63$

2. $y = 3$

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

$y\ \alpha\ \frac{1}{x}$

Convert variation to equation

$y\ = \frac{k}{x}$ ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

$7 = \frac{k}{9}$

Multiply both sides by 9

$9 * 7 = 9 * \frac{k}{9}$

$63 = k$

Substitute 63 for k in equation 1

$y = \frac{63}{x}$

Multiply both sides by x

$x * y = \frac{63}{x} * x$

$xy = 63$

Hence, the equation connecting x and y is $xy = 63$

Solving for when x = 21

Substitute 21 for x in the above equation

$21 * y = 63$

Divide both sides by 21

$\frac{21 * y}{21} = \frac{63}{21}$

$y = 3$

4 0

3 years ago

There are 12 months in a year.

erica [24]

Answer:

12 months=1 years

24 months=2 years

36 months=3 years

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hope it helps you

make me brainliest plz

3 0

3 years ago

Help me plz u will make my day

iris [78.8K]

Answer:

K=13

Step-by-step explanation:

So first, we subtract 13 with 3/4 (That comes from 4 3/4) and we get 12 1/4.

And then, we subtract 12 1/4 with 4, and we get 8 1/4

Have I made your day?

4 0

3 years ago

7 ^ 8 times 7 ^ 3 times 7 ^ 4 / 7 ^ 9 times 7 ^ 5

Alex777 [14]

Answer:

7^8 =5764801 * 7^3 =343 * 7^4 =2401 ÷ 7^9 = 40353607 * 7^5 =16807

5764801 *343 *2401 ÷ 40353607 *16807

=4747561509943 ÷ 678223072849 = 7

4 0

3 years ago

What is 23 over 6 as a mixed fraction?

Ulleksa [173]

23/6

Now how many times does 6 go in 23 ???
The answer is 3 times

So, Remaining
= 23 - (6×3)
= 23- 18
= 5

So, the mixed fraction would be
= 3 5/6

3 0

3 years ago

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