2)
4x-10y=12
Subtract 4x from each side.
-10y=-4x+12
Divide both sides by -10
y=2/5x-6/5
3)
13=1/6y+2x
Subtract 2x from each side.
-2x+13=1/6y
Multiply both sides by 6.
-12x+78=y
Flip it around.
y=-12x+78
Hope this helps!
The total cost of the tent is 409.86
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explanation:
230×0.65=149.50
230+149.50=379.50×.08=30.36
379.50+30.36=409.86
(Hope this helps :) )
Answer:
1) 
2) 
Step-by-step explanation:
To find : Calculate the Laplace transforms of the following from the definition ?
Solution :
We know that,
Laplace transforms of
is given by,
1) 
Laplace of y,
here n=2


2) 
Laplace of y,
here n=3



Sec t (theta) - 2 = 0
sec t = 2
1/ cos t = 2
cos t = 1/2
Answer:
t = π / 3 + 2 k π , or : t = 5 π / 3 + 2 kπ,
k ∈ Z
Answer:
(8) d. 4/3 (9) a. (X - 4)^2 + (y-4)^2= 25
Step-by-step explanation:
8. CENTER OF CIRCLE: O (2,6)
radius of circle : r = √4 = 2
if m = 4/3 line: y = 4/3 x
perpendicular distance (d) from center of circle to line y = 4/3 x is
d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2
d = r means line touch with circle
9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)
the equation of circle: (X - 4)^2 + (y-4)^2= 25