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rjkz [21]
4 years ago
7

Given the points A(-3, -2) and B(12, 3), determine the coordinates of point P on directed line segment stack A B with bar on top

that partitions stack A B with bar on top in a ratio of 3/2.

Mathematics
1 answer:
Law Incorporation [45]4 years ago
3 0

Answer:

  P(6, 1)

Step-by-step explanation:

Point P is the weighted average of the end point coordinates. The weights are the reverse of the order of the segment lengths:

  P = (2A +3B)/(2+3)

  P = (2(-3, -2) +3(12, 3))/5 = (-6+36, -4+9)/5

  P = (6, 1)

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A line AB joins the points A (3,4) and B (5,8). Write down the coordinates of the midpoint of the line AB
matrenka [14]

Given:

A line AB joins the points A (3,4) and B (5,8).

To find:

The midpoint of the line AB.

Solution:

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

A line AB joins the points A (3,4) and B (5,8). So, the midpoint of line AB is

Midpoint=\left(\dfrac{3+5}{2},\dfrac{4+8}{2}\right)

Midpoint=\left(\dfrac{8}{2},\dfrac{12}{2}\right)

Midpoint=\left(4,6\right)

Therefore, the midpoint of the line AB is (4,6).

8 0
3 years ago
By how much does a a^3-2a exceed a^2 + a -6
olganol [36]

Answer:

a³ - a² - 3a+ 6

Step-by-step explanation:

we are asked by how much does (a³-2a) exceed (a²+a-6)

in other words, we are being asked to find the difference between the 2 terms above.

Mathematically we are asked to find:

(a³-2a) - (a²+a-6)    (expand parentheses by distribution property)

=(a³-2a - a²- a + 6)

= a³ - a² - 3a+ 6    (answer)

8 0
3 years ago
{(4z-7,z-4,z) |z is any real number} z=-5
weeeeeb [17]

The set when z = -5 is {-27, -9, -5}

<h3>How to determine the set elements?</h3>

The set is given as:

{(4z-7,z-4,z) |z is any real number}

When z=-5, we have:

4z - 7 = 4(-5) - 7 = -27

z - 4 = -5 - 4 = -9

z = -5

So, we have:

{(4z-7,z-4,z) |z is any real number} ⇒ {-27, -9, -5}

Hence, the set when z = -5 is {-27, -9, -5}

Read more about sets at:

brainly.com/question/8053622

#SPJ1

4 0
2 years ago
Which expression shows the prime factorization of 100?
natka813 [3]

Answer:

B

Step-by-step explanation:

2^2 x 5^2 = 100

8 0
3 years ago
Please help me i dont understand this
Artyom0805 [142]

Answer:

1260

Step-by-step explanation:

sorry if it's wrong

3 0
3 years ago
Read 2 more answers
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