Cos(<span>θ) < 0, so we know it would be in Quadrant 2 or 3
then csc(</span>θ) = 257, but csc(θ) =
= 257
==> sin(<span>θ) =
it is positive, so now we can determine that is in Quadrant 2
sin(</span>θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(<span>θ) < 0
</span>cos(<span>θ) = adj/hyp
</span>Pythereom to find the adj:
cosθ =
tanθ =
cos<span>θ = </span>
We know that
the equation of the vertical parabola in the vertex form is
<span>y=a(x-h)²+k
</span>where
(h,k) is the vertex of the parabola
if a> 0 then
the parabola opens upwards
if a< 0
then the parabola open downwards
in this problem we have
f(x)=−5(x+7)²<span>+6
</span>a=-5
so
a< 0 -------> the parabola open downwards
the vertex is the point (-7,6) is a maximum
the answer is the option<span>
a = -5, opens down</span>
see the attached figure
Answer:
2.6%
Step-by-step explanation:
Given the current CPI = 231.56
Previous CPI (CPI a year ago) = 225.3
Rate of inflation over the past year = current CPI - previous CPI/previous CPI × 100%
Rate of inflation = 231.56-225.3/225.3 × 100%
5.86/225.3× 100%
= 2.6%
Rate of inflation over the past year will be 2.6%
Answer:
corresponding value of equal matrix is equal
a=10
b= -6
c=3
Step-by-step explanation: