Answer:
The equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18
Step-by-step explanation:
The coordinates of the point of intersection of the two lines = (5, 9)
The coordinates of a point on one of the two lines, line 1 = (-4, 4)
The slope of a line perpendicular to another line with slope, m = -1/m
Therefore, we have;
The slope, m₁, of the line 1 with the known point = (9 - 4)/(5 - (-4)) = 5/9
Therefore, the slope, m₂, of the line 2 perpendicular to the line that passes through the point (-4, 4) = -9/5
The equation of the line 2 is given as follows;
y - 9 = -9/5×(x - 5)
y - 9 = -9·x/5 + 9
y = -9·x/5 + 9 + 9
y = -9·x/5 + 18
Therefore, the equation of the line that is perpendicular to the line that passes through the point (-4, 2) is y = -9·x/5 + 18.
Answer:
No
Step-by-step explanation: The reason -6.0 isn't that same as 6 is because -6.0 is negative and 6 is positive
Answer:
Cost price of the cattage is Rs.6857.142857...
Answer:
63.5 in
Step-by-step explanation:
y2-y1/x2-x1
28.5-21/2.5-1 = 5
y=mx+b
21=5(1)+b
21-5= 16
b=16
y=mx+b
y=5(9.5) + 16
=63.5
Answer: 31) d 32) c
<u>Step-by-step explanation:</u>
31)
A = {1, 3, 5, 15}
B = {2, 3, 5, 7}
A ∪ B = {1, 2, 3, 5, 7, 15}
C = {2, 4, 6, 8}
(A ∪ B) ∩ C = {1, 2, 3, 5, 7, 15} ∩ {2, 4, 6, 8} = {2}
<em>2 is the only number in both sets</em>
32)
The pattern is: reflection, add symbol, ..., reflection, add symbol.
The last image shown is: add symbol
So the next image will be: reflection (flipped to the left)
