What are the coordinates of the point on the directed line segment from (-6, -3) to(5,8) that partitions the segment into a ratio of 6 to 5?

Answers

Answer 1
Answer:

Given:

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.

To find:

The coordinates of that point.

Solution:

Section formula: If point divides a line segment in m:n, then the coordinates of that point are

Point=\left((mx_2+nx_1)/(m+n),(my_2+ny_1)/(m+n)\right)

A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get

Point=\left((6(5)+5(-6))/(6+5),(6(8)+5(-3))/(6+5)\right)

Point=\left((30-30)/(11),(48-15)/(11)\right)

Point=\left((0)/(11),(33)/(11)\right)

Point=\left(0,3\right)

Therefore, the coordinates of the required point are (0,3).


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Sarina has some ribbon. After she used 24.7 cm of it, she had 50 cm left. How much ribbon did Sarita start with?

Answers

Answer:

74.7

Step-by-step explanation:

50+24.7=

Line segment of length k is divided into 3 equal parts. What is distance between midpoints of first and third segments?A) 2k/3 B) k C) k/6 D) 2k

Answers

The distance between the midpoints of the first segment and the third segment is 2k/3. Hence, option A is the right choice.

What is the mid-point of a line segment?

The mid-point of a line segment is the point from which the distance to both ends of the line segment is equal.

How to solve the question?

In the question, we are given a line segment of length k units, which is divided into 3 equal parts.

We are asked to find the distance between the midpoints of the first and third segments.

Firstly, we divide the line segment at points k/3 and 2k/3, to get three equal parts of lengths k/3 each.

Now, the mid-point of the first segment = (0 + k/3)/2 = k/6.

The mid-point of the third segment = (2k/3 + k)/2 = 5k/6

Therefore, the distance between the midpoints of the first segment and the third segment is (5k/6 - k/6) = 4k/6 = 2k/3. Hence, option A is the right choice.

Learn more about midpoints at

brainly.com/question/5566419

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Line segment of length k is divided into 3 equal parts.

so first segment is 0-k/3 and third segment is 2/3k-k

so mid-pt of 1st = k/6 and 3rd = 5/6k

so the distance in between = 5/6k-k/6 = 4/6k = 2/3k

ans is A


Find the area of the shape

Answers

Answer:

The area is 91 cm²

Step-by-step explanation:

The shape is a kite.

area of a kite = ½(p*q)

Where, p and q are the diagonals of the kite.

p = 13 cm

q = 7 + 7 = 14 cm

The area of the kite = ½(13 * 14)

= ½(182)

Area = 91 cm²

Please help, will give everything, i am stuck

Answers

Answer is probably Number 1.

Help find the circumstance and area

Answers

Circumference: 37.7 ft
Area: 113.1

Answer:

C = 37.7

A = 113.1

Step-by-step explanation:

What is 221, 000, 000, 000, 000, 000, 000, expressed in scientific notation​

Answers

Answer:

2.21 × 10^17

stepbystepexplanation: