y=kx and y=
are two equations of constant of proportionality
Step-by-step explanation:
There are two equations for the constant of proportionality. That is
(i) Direct proportion
(ii) Inverse proportion
In direct proportion y=kx, Now
if x increases, then y also increases and if x decreases, then y also decreases. So, k is a constant proportionality.
In Inverse proportion y=
, Now
if x increases then y decreases and if x decreases, then y increases and k is a constant proportionality.
In direct proportion, we put y=1 and x=2, So k=
.
So, the equations y=kx and y=
are two equations of constant of proportionality.
Answer:
The answer is x = -6
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Answer:
The answer in the procedure
Step-by-step explanation:
we have
2x-3y=-1 ----> equation A
3x+3y=26 --> equation B
Solve the system by elimination
Adds equation A and equation B
2x-3y=-1
3x+3y=26
----------------
2x+3x=-1+26
5x=25
x=25/5
x=5
Find the value of y
substitute the value of x in equation A or equation B and solve for y
2(5)-3y=-1
10-3y=-1
3y=10+1
y=11/3
The formula for the equation of a circle is (x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and <em>r</em> is the radius.
So we need to find the values of (h, k) in order to find the center of the circle.
If we simply line up the equation of our given circle with our formula,
we can see that -h = 3 or h = -3 and -k = -2 so k = 2.
So now we have our answer.
center ⇒ (-3, 2)
Answer:Although the Quadratic Formula always works as a strategy to solve quadratic equations, for many problems it is not the most efficient method. Sometimes it is faster to factor or complete the square or even just "out-think" the problem. For each equation below, choose the method you think is most efficient to solve the equation and explain your reason. Note that you do not actually need to solve the equation. a. x2+7x−8=0x
2
+7x−8=0, b. (x+2)2=49(x+2)
2
=49, c. 5x2−x−7=05x
2
−x−7=0, d. x2+4x=−1x
2
+4x=−1.