Answer:
y = 3, x = 3
Step-by-step explanation:
5x – 3y = 6
5x = 6 + 3y
x = (6 + 3y)/5
3x + 4y= 21
3x = 21 - 4y
x = (21-4y)/3
Using simultaneous equations:
(21-4y)/3 = (6 + 3y)/5
--> 105-20y = 18 + 9y
29y = 87
Answer:
Let the base be p
Hypotenuse = 2p +6
Perpendicular = 2p + 4
By Pythagoras theoram
(2p+6)^2 = (2p+4)^2 +p^2
=> 4p^2 +36 + 24p = 4p^2 + 16 +16p +p^2
=> 36+ 24p = p^2 + 16p + 16
=> p^2 - 8p - 20 = 0
=> p^2 - 10p +2p - 20 = 0
=> p(p-10) +2(p-10) = 0
=> (p-10)(p+2) = 0
p = 10 and - 2
Length can't be negative
So,
p = 10
Base = 10
Perpendicular = 24
Hypotenuse = 26
Answer:
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Slope = change in y / change in x
Use the two pints shown on the graph.
Slope = ( 0- -2) / ( -6 -2)
Slope = 2/-8
Slope = -1/4
answer: slope = -1/4
