All categories

3 years ago

Find the midpoint of the segment with the given endpoints A(4, -2) and Q (10,7)

Mathematics

1 answer:

GenaCL600 [577]3 years ago

7 0

Answer:

The midpoint is ( 7, 5/2)

Step-by-step explanation:

To find the midpoint

Add the x coordinates and divide by 2

( 4+10) /2 = 14/2 = 7

The x coordinate of the midpoint is 7

Add the y coordinates and divide by 2

( -2+7) /2 = 5/2 =

The y coordinate of the midpoint is 5/2

The midpoint is ( 7, 5/2)

You might be interested in

Mrac [35]

Answer:

y=2(x+10)

Step-by-step explanation:

its a simple function :)

if y is the weight of the bag, and there is already a base of 10, the function explained would be

2* x <-- (the amount of days) +10 <- the amount already in there

3 0

3 years ago

Read 2 more answers

3.<br> + 4(4x - 3) = 4(6x + 4) +4

allsm [11]

Answer: -4

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

How many significant figures does 2016m has<br>????????????????????????????????????????????????

KatRina [158]

4 significant figures.

Step-by-step explanation:

6 0

2 years ago

Find the mode and range of each data set:<br><br> C) 86.4,87.2,95.7,96.4,88.1,94.9,98.5,94.8

den301095 [7]

Mean: 92.75

Median: <span>94.85

Mode: </span>86.4, 87.2, 95.7, 96.4, 88.1, 94.9, 98.5, 94.8

8 0

3 years ago

Read 2 more answers

If U = {x: X € N, 1 < × < 15)

Inessa05 [86]

Answer:

Step-by-step explanation:

Given:

U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}

A = {2,4,6,8,10,12,14}

B = {3,6,9,12,15}

C = {5,10,15}

(a) Verify A(BnB)=(AUB)(AUB)

A U (B n B)

= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )

= {2,4,6,8,10,12,14} U {3,6,9,12,15}

= {2,3,4,6,8,9,10,12,14,15}

( A U B) n (A U B)

= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}

= {2,3,4,6,8,9,10,12,14,15}

Therefore

A U (B n B) = ( A U B) n (A U B)

verifies

(b) Verify An(BUC)=(AnB)u(AnC)

A n ( B U C)

= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )

= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}

= {6,10,12}

( A n B ) U ( A n C )

= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )

= {6,12} U {10}

= {6,10,12}

Therefore

A n ( B U C) = ( A n B ) U ( A n C )

verifies

AU(BUC)

= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}

= {2,3,4,5,6,8,9,10,12,14,15}

(AUB)U(AUC)

= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})

= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}

= {2,3,4,5,6,8,9,10,12,14,15}

Therefore

AU(BUC)=(AUB)U(AUC)

verifies

5 0

3 years ago