Answer: Provided.
Step-by-step explanation: We are given two lines 'h' and 'k' which are parallel to each other. Also, there is another line 'j' that is perpendicular to line 'h'.
We are to prove that line 'j' is perpendicular to line 'k'.
Let, m, n and p be the slopes of lines 'h', 'k' and 'j' respectively.
Now, since line 'h' and 'k' are parallel, so their slopes will be equal. i.e., m = n.
Also, lines 'h' and 'j' are perpendicular, so the product of their slopes is -1. i.e.,
m×p = -1.
Hence, we can write from the above two relations
n×p = -1.
Thus, the line 'j' is perpendicular to line 'k'.
Proved.
Answer:
A. LCM of 6,9, and 15 is 90.
B. LCM of 3,12, and 16 is 48.
C. LCM of 8,9, and 12 is 72.
D. LCM of 24 and 18 is 72.
E. LCM of 21 and 28 is 84.
F. LCM of 19 and 42 is 798.
Step-by-step explanation:
Hope this helps! :)
Answer:
y = 5x - 14
Step-by-step explanation:
First point coordinates
x₁
5
y₁
11
Second point coordinates
x₂
7
y₂
21
Result
Slope (m)
5
m = 10 / 2 = 5 / 1 = 5
Your function
The entered points belong to an increasing, linear function.
Equation: y = 5x - 14.
Hope i helped :)
Answer:
30 sweets
Step-by-step explanation:
From the above question
The ratio is given as:
Karan : Preeti
2:3
The sum of the proportion = 2 + 3 = 5
Total number of sweets = 50 sweets
The number of sweets Preeti will get is calculated as:
3/5 × 50 sweets
= 30 Sweets
Therefore, the number of sweets Preeti will get is 30 sweets