Math Equations

Question 1

Arithmetic mean

Answer 1

= (sum of values)/(number of terms)

Question 2

Probability

Answer 2

= (sum of values)/(number of terms)

Question 3

Average speed

Answer 3

(total distance)/(total time)

Question 4

Quadratic formula

Answer 4

x=(-b±√(b^2-4ac))/2a

Question 5

Distance formula

Answer 5

d=√(x_2-x_1)^2+(y_2-y_1)^2 )

Question 6

Slope formula

Answer 6

slope= (y_2-y_1)/(x_2-x_1 )

Question 7

Slope intercept

Answer 7

y=mx+b

Question 8

Midpoint formula

Answer 8

midpoint=(x_1+x_2)/2, (y_(1+) y_2)/2

Question 9

Logarithms

Answer 9

〖log〗_b x=y = b^y=x

Question 10

Area of triangle

Answer 10

A=1/2 bh

Question 11

Pythagorean theorem

Answer 11

a^2+b^2=c^2

Question 12

Area of rectangle

Answer 12

A=length x width

Question 13

Area of parallelogram

Answer 13

A=base x height

Question 14

Area of Circle

Answer 14

A=π r^2

Question 15

Circumference

Answer 15

Circumference=2 π r

Question 16

Volume of cylinder

Answer 16

V_cylinder= π r^2 h

Question 17

Equation of a Circle

Answer 17

(x-h)^2+ (y-k)^2=r^2 where h,k is the center

Question 18

Equation of a Parabola

Answer 18

y = a(x-h)^2 + k where h,k is the vertex

Question 19

Equation of a Hyperbola

Answer 19

(x-h)^2/a^2 - (y-k)^2/b^2 =1 where h,k is the center

Question 20

Sine

Answer 20

sine=opposite/hypotenuse

Question 21

Cosine

Answer 21

Cosine=adjacent/hypotenuse

Question 22

Tangent

Answer 22

Tangent=opposite/adjacent

Question 23

Law of Cosines

Answer 23

c^2 = a^2 + b^2 - 2ab cosC