24!!!!!!!!!!!!!!!!!!!!!

On a coordinates plane, a line passes through ( - 2 , 3 ) and ( 2 , 6 ). Which of the followings lies on the same line.

Dahasolnce [82]

By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)

<h3>What point lies on a line segment?</h3>

According to linear algebra, a point lies in a line segment if its vector is a multiple of the vector that generates the line segment itself, that is:

AB = k · AP (1)

The vector that generates the line segment is:

AB = (2, 6) - (- 2, 3)

AB = (4, 3)

And the vectors related to each point are:

Case A

AP = (- 2, 12) - (- 2, 3)

AP = (0, 9)

Case B

AP = (6, 12) - (- 2, 3)

AP = (8, 9)

Case C

AP = (- 6, 0) - (- 2, 3)

AP = (- 4, - 3)

Case D

AP = (- 6, 6) - (- 2, 3)

AP = (- 4, 3)

By direct comparison and definition of line segment we notice that the point (x, y) = (- 6, 0) lies on the line segment AB as each AP is a multiple of former. (Correct choice: C)

To learn more more on line segments: brainly.com/question/25727583

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4 0

1 year ago

Sienna has $8 and is saving $3 per week. Jacob has $6 and is saving $4 per week. Which model represents the equatio

poizon [28]

Let the amount saving by Sienna and Jacob be x

Sienna has $8 and is saving $3 per week

So the equation will be 3x + 8

Jacob has $6 and is saving $4 per week

So the equation will be 4x + 6

Sienna will have same amount as Jacob, so

3x + 8 = 4x + 6

So the model two will represents the equation that Sienna will have same amount as Jacob.

5 0

3 years ago

Read 2 more answers

Which number line model represents 1 + (-3) ?

Troyanec [42]

The 2nd number line model represents 1 + ( -3 ).

3 0

4 years ago

Read 2 more answers

A picture frame has a perimeter of 40 inches. Its length is 2 inches greater than one-half its width. Let w represent the width

LUCKY_DIMON [66]

L = 2 + .5W
2L + 2W = 40

SOLVING (if needed)
Substitute 2 + .5w in for l in the second equation and solve for w.
2(2 + .5w) + 2w = 40
4 + w + 2w = 40
Combine like terms and subtract 4 from both sides
3w = 36
Divide both sides by 3
w = 12 in.
l = 2 + .5w
l = 2 + .5(12)
l = 8 in.

8 0

3 years ago

Read 2 more answers

Emma is building a wall around her garden. It has take 45 minutes,and she is 75% done what is the told time it will take Emma to

kicyunya [14]

Ok so first we need to write a fraction.

75 percent/45 mins

then we convert that into a unit rate

1.67 percent/1 min

so, now that we have the unit rate, we know exactly how fast she is moving.

Now, we divide 25 by 1.67 because 25% is the distance between the completion of the gate and current state of the gate.

So we get 14.97, which we can safely round up to 15.

It will take her 15 mins more to finish the gate, and it has already taken 45, so 45+15=60

60 MINS TOTAL/ 1 HOUR

8 0

3 years ago