The x- and y-coordinates of point C, which partitions the directed line segment from A to B into the ratio 3:10 is; (-2.6, 5.2)
<h3>How to find coordinate points?</h3>
The coordinate of the points are given as:
A(-4, 8)
B(2, -4)
Ratio of partition is given as; 3:10
Now, the point at the given ratio is calculated from the formula;
C = [(mx2 + nx1)/(m + n)], [(my2 + ny1)/(m + n)]
Thus;
C = [(3*2 + 10*-4)/(3 + 10)], [(3*-4 + 10*8)/(3 + 2)]
C = (-34/13, 68/13)
C = (-2.6, 5.2)
Read more about Coordinate Points at; brainly.com/question/17206319
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Answer:
Infinite solutions
Step-by-step explanation:
<em><u>Distribute the 2 to (n - 1), and distribute the 2 to (3n - 1), like so:</u></em>
2(n - 1) + 4n = 2(3n - 1)
2n - 2 + 4n = 6n - 2
<em><u>Add like terms (2n and 4n):</u></em>
6n - 2 = 6n - 2
<em><u>Subtract 6n from both sides:</u></em>
-2 = -2
Since we ended up with the same term on both sides, we can't do anything else, meaning this equation has infinite solutions.
Answer:
3(5n-6)
Step-by-step explanation:
You want to find the common multiple between the two numbers.
Find a number that is divisible by both numbers, and to find that, you need to factor them out using multiples that are suitable for each number
15:
5 x <u>3</u>(only multiple pair that has whole numbers)
18:
9 x 2(no)
6 x <u>3(yes)</u>
After you have found your answer insert it into the equation.
3(5n-6)
To check if you're right, multiply 3 into the brackets and you will get your answer.
3 x 5n - 3 x 6
15n-18
SOLVED
Answer:
(n+5)² - (n+3)² =
= (n² + 10n + 25) - (n² + 6n + 9)
= n² + 10n + 25 - n² - 6n - 9
= 4n + 16
= 4(n + 4) ⋮ 4
