If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?
1 answer:
Answer:
Step-by-step explanation:
Multiply both sides: by <em>x+c</em>
a(x+c)= (x+c)
Simplify: a(x+c)=b-2x
Expand: ax+ac=b-2x
Subtract <em>ac</em> from both sides: ax+ac-ac=b-2x-ac
Simplify: ax=b-2x-ac
Add<em> 2x</em> to both sides: ax+2x=b-2x-ac+2x
Simplify: ax+2x=b-ac
Factor <em>ax+2x</em>: x(a+2)
x(a+2)=b-ac
Divide both sides by <em>a+2: </em> =
-
; a≠-2
Simplify:
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Answer:
A'(-2, 1), B'(1, 0), C'(-1, 0)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, dilation and translation.
If a point X(x, y) is translated a units right and b units down, the new location is X'(x + a, y + b) whereas if a point X(x, y) is translated a units left and b units up, the new location is X'(x - a, y - b).
If a point X(x, y) is rotated 90° clockwise about the origin, the new location is X'(y, -x)
From the image attached, ∆ABC is at A(0, 0), B(1,3) C(1, 1)
If ∆ABC is translated 2 units down and 1 unit to the left (x - 1, y - 2), the vertices would be A*(-1, -2), B*(0, 1), C*(0, -1)
If it is then rotated 90° clockwise about the origin, the new location is A'(-2, 1), B'(1, 0), C'(-1, 0)
Answer:
1.7 seconds
Step-by-step explanation:
we have
where
v is the initial velocity (in feet per second)
s represents the initial height (in feet)
In this problem we have
---> because the object is dropped
substitute
Remember that
When the chestnut hit the ground the value of H is equal to zero
so
For H=0
solve for t
therefore
The solution is t=1.7 sec