Answer:
k = -3 or 5
Step-by-step explanation:
The given parameters are;
The line extends from points (-1, 1) to point (2, k)
The length of the line = 5 units
The formula for the length, l, of a line given its coordinates can be found by the following formula;
Therefore, we have;
Which, by squaring both sides, gives;
25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²
25 = (k - 1)² + 3² = k² - 2·k + 1 + 9
25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15
0 = k² - 2·k - 15
0 = (k +3) × (k - 5)
Therefore, k = -3 or 5
When k - -3, we have;
When k = 5, we have;
3/8. To get this answer you need to multiply the numerators and the denominators. 1 x 3 is equal to 3 and 2 x 4 is qual to 8. Therefore, 3/8
Answer:
25 units
Step-by-step explanation:
This problem can be solved by using concept of Basic proportionality theorem.
This theorem states that if there is line drawn parallel to any side of the triangle, and it intersect the other two sides, then
segment divided on those two sides are in equal proportion.
Let naem this triangle
the side containing 15 and 6 be AB, with A be point on segment having length 15 units
B be point on segment having length 6 units
c be point on segment having length ? units
DE line parallel to BC
Thus, if apply Basic proportionality theorem. in this then ratio formed will be
15/6 = ?/10
5/2 = ?/10
?= 5/2* 10 = 25
The length of missing segment is 25 units.
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Given
0.24 × (number of 6th grade students) = 30
Find
(number of 6th grade students
Solution
Divide by 0.24.
... (number of 6th grade students) = 30/0.24 = 125
