Answer:
Step-by-step explanation:
↔Start of with your 'solution section' to make sure you have the right things↔
↔Solution 1 ➡ 4(x) + 9(y) = 16
↔Solution 2 ➡ 6(x) - 9(y) = 8
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▪Looking for the value of the 'x'-intercept ⬇▪
◾4 (3) (y) / 2 + 4/ 3 + 9(y) = 16
◾15(y) = 32 / 3
◾ 45(y) = 32
▪x-intercept: 32
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◾Looking for value of the 'y'-intercept ◾
◾45(y) = 32
◾y-intercept : 45
◾x = 3(y)/2+4/3 which is translated to this, am i correct? ➡ (y) = 32/45
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↪ Now, we have finally found both of their intercept ⬇
↪x-intercept: 12
↪y-intercept: 5
↪Or you can even say the intercepts in other words. Here's what I am talking about if in case you don't know what I am saying
↪x-intercept: 32✅
↪y-intercept✅
-21/5
Multiply 4 and 5, add 1
Let x = angle we must find
tan x = 14/30
arctan(tan x) = arctan(14/30)
x = 25.0168934781
Answer: 25 degrees
(a) (i) In first 4 minutes Mary's speed was 600 / 4 = 150 m / minute
(ii) in last 4 minutes her speed was (1000-600) / 4 = 400/4 = 100 m/min
(b) Marys average speed for the whole journey = 1000/8 = 125 m/min
(c) 200 m
(d) Peter arrived at school after 7 minutes . Mary took 8 minutes. Peter first.
(e) Where they met is given by where the 2 curves intersect. That is at time 6.8 minutes and 880 m from Mary's home
(f) At t= 4 dsitance between then is 600 - 400 = 200 m
The cross of the position vectors is
.. [5, 2, 2] × [6, -1, 1] = [4, 7, -17] . . . . . the normal vector of the desired plane
Since the origin is a point in the plane, its equation can be written as
.. 4x +7y -17z = 0
