Next Post Test: Foundations of Geometry
Glven: Une a and line b Intersect
Prove: 1 2 3
Statements
Reasons
1. Line a and line b Intersect
1. given
2. ?
2.?
3. $3 is supplementary to $2
3. linear pair theorem
14. 1 ~ *
4. congruent supplements theorem
Which statement and reason best completes the proof?
2. definition of supplementary angles
2. linear pair theorem
OA 2. m 1 + m $4 = 180°
OB. 2. $2 is supplementary to $4
OC. 2m 2 + m *3 = 180°
2. $1 is supplementary to $2
2. definition of supplementary angles
OD
2. linear pair theorem

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

it has to have an angle of 90 degrees