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The Maths Prof: Changing Subject of Formula
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T = 4v + 3 (a) (b) Make V the subject of the formula T = 4v + 3
T = 4v + 3 (a) (b) Make V the subject of the formula T = 4v + 3 … adbell2010 is waiting for your help. Add your answer and earn points.
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Date Published: 11/11/2022
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Make v the subject of the formula T=4v+3 | Snapsolve
Solution for Make v the subject of the formula T=4v+3. To Keep Reading This Solution, Download the APP. 4.6. star png. Review from Google Play.
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Solve propertiesstraightline T=4v+3 Tiger Algebra Solver
Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both ses of the equation : t-(4*v+3)=0 …
Source: www.tiger-algebra.com
Date Published: 8/19/2021
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Change the Subject of a Formula | Worked-out Examples
To make ‘t’ the subject of the formula, v = u + at, v – u = u̶ + at – u̶ [subtract u from both ses] v – u = at. On diving both ses by a we get;.
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Date Published: 4/8/2021
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Changing the subject of a formula – GCSE Maths Revision – BBC
Rearrange the formula v = u + a t to make u the subject of the formula. To make u the subject of the formula means to rearrange the formula so it begins with …
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Date Published: 12/29/2022
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Make v the subject of the formula T=4v+3
Two new cars were valued \(Rs\;396000\) and \(Rs\;596000\) respectively. After \( 6\) months the market value of each fell by \(Rs\;96000\) see the ratio of their values
\( \left(i\right)\) At the beginning and
Solve propertiesstraightline T=4v+3 Tiger Algebra Solver
Rearrange:
Rearrange the equation by subtracting what’s to the right of the equal sign from both sides of the equation:
t-(4*v+3)=0
Step 1 :
Equation of a straight line
1.1 Solve t-4v-3 = 0
Tiger realizes that we have a straight line equation here. Such an equation is usually written y=mx+b (“y=mx+c” in UK).
“y=mx+b” is the formula of a straight line drawn in a Cartesian coordinate system, where “y” is the vertical axis and “x” is the horizontal axis.
In this formula:
y tells us how far up the line goes
x tells us how far
m is the slope or slope, i.e. how steep the line is
b is the y-intercept, i.e. where the line intersects the y-axis
The X and Y sections and the slope are called the line properties. We will now graph the line t-4v-3 = 0 and calculate its properties
Graph of a straight line:
Calculate the Y-intercept:
Note that at t=0 the value of v is 3/-4, so this line “intersects” the v-axis at v=-0.75000.
v-intercept = 3/-4 = -0.75000
Calculate the X-intercept:
When v=0, the value of t is 3/1. Our line therefore “intersects” the t-axis at t= 3.00000
t-intercept = 3/1 = 3.00000
Calculate the slope:
The slope is defined as the change in v divided by the change in t. We find that for t=0 the value of v is -0.750 and for t=2.000 the value of v is -0.250. For a change in t by 2.000 (The change in t is sometimes called “RUN”) we get a change of -0.250 – (-0.750) = 0.500 from v. (The change in v is sometimes referred to as “RUN”). “RISE” and the slope is m = RISE / RUN)
slope = 0.500/2.000 = 0.250
Geometric figure: straight line
Change the Subject of a Formula
Change the subject of a formula
In mathematics, we learn how to change the subject of a formula and find the value of the variable.
Change the subject of a formula
Subject of the formula:
It is a variable expressed by other variables included in the formula.
Formulas are written so that a single variable, the subject of the formula, is based on the L.H.S. the equation. Everything else goes on the right side of the equation. We evaluate the formula by substituting the literal numbers on the right.
For example:
In the formula v = u + at, v is the subject.
To find v in the example, we substitute the values u, a, and t in R.H.S. the equation.
Change the subject of the formula:
To change the subject of a formula, start with the variable you want to become the new subject and apply the reverse operation as you would when solving equations, in the opposite order to the ordering conventions.
1. To make “u” the subject of the formula in v = u + at,
v – at = u + a̶t̶ – a̶t̶ [subtract at from both sides]
v – at = u
or u = v – at
2. To make “t” the subject of the formula, v = u + at,
v – u = u̶ + at – u̶ [subtract u from both sides]
v – u = at
Dividing both sides by a we get;
(v – u)/a = a̶t/a̶
or (v – u)/a = t
or t = (v – u)/a
Change the subject of a formula
Solved examples of changing the subject of a formula
1. The volume of a cuboid is the product of the length and width of the cuboid.
Solution:
If l, b, h are the length, width, and height of the cuboid.
Even if the volume is then denoted by v
V = l × w × h
or l = V/(b × h) Here the subject is l.
or b = V/(l × h) Here the subject is b.
or h = V/(l × b) Here the subject is h.
2. In the relation C/5 = make (F – 32)/9 make F the subject.
Solution:
C/5 = (F-32)/9
⇒ 9C/5 = F – 32
⇒ 9C/5 + 32 = F
⇒ F = 9C/5 + 32
3. Make y the subject of the formula x = (y + z)/(y – z)
Solution:
x = (y + z)/(y – z)
x (y – z) = y + z [multiply both sides by (y – z)]
xy – xz = y + z
xy – y = z + zx
y(x-1) = z(x+1)
y = z(x + 1)/(x – 1)
More elaborated tasks to change the subject of a formula
4. Write the formula for finding the area of the rectangle and give the subject in this formula. Also, make l the subject. If A = 42 cm² and b = 6 cm, then you will find l.
Solution:
If the area is denoted by A, the length by l and the width by b,
then the area of the rectangle is given by A = l × b
In this formula, A is the subject.
If we change the subject, i.e. make l the subject, then the formula becomes l = A/b
To find the value of l, substitute the value of a and b,
we get l = 4̶2̶/6̶ cm
Therefore length (l) = 7 cm.
5. In a right triangle, the square of the hypotenuse (h) is equal to the sum of the squares of its other two sides (p, b).
• Write down the formula for the above statement and find out h when p = 4 and
b = 3.
• Also make “p” the subject of the formula and find p when h = 10 and
b = 8.
Solution:
From the above statement,
h² = p² + b²
When p = 4 and b = 3
h² = 4² + 3²
= 16 + 9
h² = 25
h² = 5²
Hence h = 5
change the subject
p² = h² – b²
p = √(h² – b²)
= √(10² – 8²)
= √(100 – 64)
= √36
= 6 [if h = 10 and b = 8]
6. In the formula, l = a + (n – 1)d makes d the subject. Find the when
l = 10, a = 2, n = 5.
Solution:
d = (l – a)/(n – 1) where d is the compulsory subject
Now substitute the values of l, a, n in the formula;
we get, d = (10 – 2)/(5 – 1)
= 8/4
= 2
● Formula
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