Answer:
Being proportional between two entities, refers to the 'Constant of Proportionality' that would be fixed between them which establishes a relationship between them when multiplied or divided.
If we considered it on a graph, the 'Constant Of Proportionality' may take any real values between the coordinate pairs x and y [x,y]. As even 0 is a real number, it will surely be a constant of proportionality when multiplied since its product would result in itself (0). Hence, both x and y turns 0.
As the coordinates of the origin are always (0,0), the graph (Or the slope) would surely pass through the origin.
Example :
If we consider a graph such that x=y.
And if we multiply or divide any real number (a) between them.
ax=ay
As a is a variable, and can take the value of 0, the graph can pass through the origin as x and y nullify becoming the coordinates of the origin.
Step-by-step explanation:
Let √x - 1/√x = a
Squaring both the sides,
x + 1/x - 2 = a^2
Putting the value,
3–2√2 + 1/(3–2√2) - 2 = a^2
a^2 = 1 - 2√2 + 1/(3–2√2)
= [(3–2√2) (1–2√2) + 1] / 3–2√2
= {3 - 8√2 + 9} / 3–2√2
= [12 - 8√2] / 3–2√2
Rationalising both the sides
= {(12 - 8√2)(3+2√2)} ÷ (9–8)
= 36 + 24√2 - 24√2 + 16(2)
= 36 - 32
=> 4
a^2 = 4
a = √4
a = 2, -2
So,
√x - 1/√x = a = 2, -2.
a) situation you’re familiar with where one quantity changes constantly in relation to another quantity is Velocity = Distance/Time
b) the velocity is in direct proportion to distance and inverse relation to time.
c) The graph shown by velocity- time is a straight line graph.
<h3>what is algebra?</h3>
Algebra is a branch of mathematics that deals with symbols or variables and uses arithmetic operations (+, –, ×, ÷) to find the unknown quantities represented by these variables.
There is a equation we are familiar with , the equation of motion
Velocity = Distance/Time
Here, velocity increases or decreases if the distance also increases or decreases. But if time increases velocity decreases.
So, the velocity is in direct proportion to distance and inverse relation to time.
The graph shown by velocity- time is a straight line graph.
Learn more about algebra here:
brainly.com/question/953809
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Answer:
cylinder is 2 π r2 + 2 π r h