Answer:
3.7
Step-by-step explanation:
2r(pi)(∅/360)
2*3*(pi)*(70/360)
6*(pi)*(0.19444...)
3.665191429188092
3.7
Answer:
y-intercept = (0,-21)
vertex = (2,-25)
Step-by-step explanation:
Start by writing the system down, I will use
to represent 

Substitute the fact that
into the first equation to get,

Simplify into a quadratic form (
),

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

which then must factor into

And the solutions will be
.
Clearly for small coefficients like ours
, this is very easy to figure out. To get 5 and 6 we simply say that
.
This fits the definition as
and
.
So as mentioned, solutions will equal to
but these are just x-values in the solution pairs of a form
.
To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.
So the solution pairs are
and
.
Hope this helps :)
Answer:
yes
Step-by-step explanation:
60 - 0.1(60) = 54
60 - 6 = 54
54 = 54