math 2

Question 1

negative exponent receprical rule

Answer 1

when there is a # raised to a negative exponent like 2^-3 the you could write it as 1/2^3 beucase it is the recepitocal rule and you need to follw it.

Question 2

The logb(x)+logb(y) is same as logb(xy)

Answer 2

so log2(x)+log2(8x) becomes log2(8x^2)

Question 3

Trig properties

Answer 3

sin^2 x + cos^2 x=1

Question 4

Mispoint formula

Answer 4

( x1 + x2 /2 , y1 + y2/2 )

Question 5

Distance formula, used to find distance between two points.

Answer 5

√ (X2-X1)^2 + (Y2-Y1)^2

Question 6

circle formula

Answer 6

(x-h)^2 + (y-k)^2= r^2
This is when the center of the cirlce is (h,k) and the r is the radius.

Question 7

Elipces formula or oval

Answer 7

(x-h)^2/a^2. +. (y-k)^2/b = 1

Question 8

area of trinagle

Answer 8

a= 1/2 BH

Question 9

area of parallelograms

Answer 9

A= BH

Question 10

Circumferce of a circle

Answer 10

C= 2πR

Question 11

area of cirlce

Answer 11

πR^2

Question 12

Similar trinagles, meaning triangles that have the same corrosponding sides.

Answer 12

Perimeter will be twice as large
and area will be the ratio squared = times bigger so if the ratio is 2 then 2^2 4 times bigger.

Question 13

common triplets

Answer 13

3-4-5
5-12-13

or times (2)

6-8-10
10-24-26

Question 13

When there is a square root in the denominator

Answer 13

then you can * by that √ root and then rationalize that and then simply divide.

Question 13

Special right triangles

Answer 13

Rule: if you going from a larger to a smaller angel then you have to divide and when you from a smaller to a larger, then you multiply.

45-45-90 is one of these triangel. the two 45 angles are = x and the 90 is equal to x√2.

30-60-90. The 30 is x, the 60 is x√3 and the hypt is 2x.
When you have this angle, get it to 30, cause 30=x so you can easily move in and out of it.

Bigger angles have bigger values and vice versa.