StudentAidUnit 2: Quadratic Equations — Exercise 2 6
10th Class Mathematics · Unit 2: Quadratic Equations
2.6.1.Make F the subject of the formula, C° = (5/9)(F° - 32).
Given
C^circ = frac59(F^circ - 32)
Multiply both sides by 9/5
frac95C^circ = F^circ - 32
Result
F^circ = frac95C^circ + 32
2.6.2.The formula for finding simple interest is I = PRT. (a) Make P the subject of the formula. (b) Make T the subject of the formula.
Given
I=PRT
(a) Divide both sides by RT
P=IRT
(b) Divide both sides by PR
T=IPR
Result
(a) P=IRT qquad (b) T=IPR
2.6.3.Make 'a' the subject of the formula S = 2a + (n-1)d.
Given
S=2a+(n-1)d
Subtract (n-1)d, divide by 2
S-(n-1)d=2a
Result
a=S-(n-1)d2
2.6.4.The volume of a cylinder is given by the formula, V = πr²h. Make 'h' the subject of the formula.
Given
V=pi r2h
Divide both sides by πr²
h=Vpi r2
Result
h=Vpi r2
2.6.5.The area of a trapezoid is A = (1/2)h(b₁+b₂), make h the subject of the formula.
Given
A=frac12h(b1+b2)
Multiply both sides by 2, divide by (b1+b2)
2A=h(b1+b2)
Result
h=2Ab1+b2
2.6.6.If y = mx + c, then make 'x' the subject of this equation.
Given
y=mx+c
Subtract c, divide by m
y-c=mx
Result
x=y-cm
2.6.7.Perimeter (P) of a rectangle is P = 2(l + w), make l as the subject of this formula.
Given
P=2(l+w)
Divide by 2, subtract w
P2=l+w
Result
l=P2-w
2.6.8.The equation of a parabola is y² = 4ax, make 'x' as a subject of this equation.
Given
y2=4ax
Divide both sides by 4a
x=y24a
Result
x=y24a