Word form: Six over nine or two over three
Simpliest form: 2/3
I count 4 green stars and 6 red stars
ratio of green to red would be
4 green : 6 red
4:6
if you divide both numbers by 2, cause theyre both even
2:3
Answer:
cosФ =
, sinФ =
, tanФ = -8, secФ =
, cscФ =
, cotФ = 
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =

- sinФ =

- tanФ =

- secФ =

- cscФ =

- cotФ =

- Where r =
(the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r = 
∵ x = 1 and y = -8
∴ r = 
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ = 
∴ cosФ =
∵ sinФ = 
∴ sinФ = 
∵ tanФ = 
∴ tanФ =
= -8
∵ secФ = 
∴ secФ =
= 
∵ cscФ = 
∴ cscФ = 
∵ cotФ = 
∴ cotФ =
Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

These relations between the solutions give us a brief idea of what the solutions should be like.
Answer:

Step-by-step explanation:
You first equate it to zero to get:

Then solve using square root method




Or


Now work it backwards


Hence the factored form is:
