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:
Store B offers the best deal
Step-by-step explanation:
Store B charges 86 cents per can which is the least out of all of them. Store a charges 89 cents per can, Store C charges 88 cents, and Store D charges 90 cents.
All I did was divide the cost ny the amount of cans to see how much each can costs.
Hope this helped !!!
Answer:
600:450:450
Step-by-step explanation:
8+6+6= 20
1500/20=75
8*75= 600
6*75= 450
6*75=450
Check:
600/75= 8
450/75= 6
450/75=6
To find the length of the light pole you'll have to use the sine ratio.
sin 30 = x/43
43 (sin 30) = x
21.5 = x
Hope this helps :)
Answer:
f^-1 (x) = x^2 + 5
Step-by-step explanation:
f(x) = √x - 5
replace x with y
x= √y - 5
solve for y,
x =√y-5
x^2 + 5
Answer -
f^-1(x) = x^2 + 5
HOPES THIS HELPS :)
