Answer:
y= 1/3 x-4
Step-by-step explanation:
-2x+6y=-24 Write what you are given
+2x +2x Add 2x to each side to get y by itself
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+6y=-24+2x
/6 /6 Divide by six on both sides to get y by itself
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y=-4+ 1/3 x
y= 1/3 x-4 Rearrange to get into y=mx+b form
Answer:
x = -1/7 Or 0.143 (3 dec)
Step-by-step explanation:
6(4x + 5) = 3(x + 8) + 3
= 24x + 30 = 3x + 24 + 3
24x + 30 = 3x + 27
21x + 30 = 27
21x = -3
21x/21 = -3/21
x = -1/7
Or 0.143 (3 dec)
Answer:
B. 12ft
Step-by-step explanation:
Area of kite is 2 times the area of triangle
= 2[(1/2)(4)AC] = 48, ie., AC = 12 ft
Answer:
Step-by-step explanation:
You do the implcit differentation, then solve for y' and check where this is defined.
In your case: Differentiate implicitly: 2xy + x²y' - y² - x*2yy' = 0
Solve for y': y'(x²-2xy) +2xy - y² = 0
y' = (2xy-y²) / (x²-2xy)
Check where defined: y' is not defined if the denominator becomes zero, i.e.
x² - 2xy = 0 x(x - 2y) = 0
This has formal solutions x=0 and y=x/2. Now we check whether these values are possible for the initially given definition of y:
0^2*y - 0*y^2 =? 4 0 =? 4
This is impossible, hence the function is not defined for 0, and we can disregard this.
x^2*(x/2) - x(x/2)^2 =? 4 x^3/2 - x^3/4 = 4 x^3/4 = 4 x^3=16 x^3 = 16 x = cubicroot(16)
This is a possible value for y, so we have a point where y is defined, but not y'.
The solution to all of it is hence D - { cubicroot(16) }, where D is the domain of y (which nobody has asked for in this example :-).
(Actually, the check whether 0 is in D is superfluous: If you write as solution D - { 0, cubicroot(16) }, this is also correct - only it so happens that 0 is not in D, so the set difference cannot take it out of there ...).
If someone asks for that D, you have to solve the definition for y and find that domain - I don't know of any [general] way to find the domain without solving for the explicit function).
