Math

Question 1

Distance Formula

Answer 1

Distance Formula: d=√(x₁ – x₂)² + (y₁ – y₂)²

For example: Find the distance between points (6, 6) and (2, 3)

    d=√(6 – 2)² + (6 – 3)²
    d=√(4)² + (3)²
    d=√16 + 9
    d=√25
    d = 5

Question 2

Slope Formula

Answer 2

Slope = y₂ – y₁ / x₂ – x₁

For example: Coordinates = (-2, -1) (4, 3)

s = 3 – (-1) / 4 – (-2)
s = 4 / 6
s = 2 / 3

Question 3

Slope Intercept

Answer 3

For example: Slope = 2, Intercept point (0,3)

y = 2x+3

Question 4

Area of Triangle

Answer 4

Area of Triangle: area = (1/2) (base) (height)

Question 5

Pythagorean Theorem

Answer 5

a²+b²=c²

Question 6

Area of Rectangle

Answer 6

length x width

Question 7

Area of Parallelogram

Answer 7

area = base x height

Question 8

Area of Circle

Answer 8

Area of Circle: π * r²

Question 9

Circumference of Circle

Answer 9

circumference = 2π * r

Question 10

Volume of Rectangle-Based Solids

Answer 10

length × width × height

Question 11

Volume of Prisms and Cylinders

Answer 11

Area of the end shape × the height/depth of the prism/cylinder.

Question 12

Volume of Cones and Pyramids

Answer 12

Area of the base or end shape × the height of the cone/pyramid × 1/3

Question 13

Volume of a Sphere

Answer 13

4/3 × π × radius^3