A function is positive if it lies above the x axis.
This function is positive before x = -4, i.e. over the interval 
It is negative elsewhere, i.e. over the interval 
So, the only correct option is the second one.
Answer:
<h2>x = 10</h2>
Step-by-step explanation:
If the triangles are similar, then the corresponding sides are in proportion:
<em>cross multiply</em>
<em>use distributive property </em><em>a(b + c) = ab + ac</em>
<em>subtract 20x from both sides</em>
Step-by-step explanation:
the max. value is when the smaller set (A) is completely contained in the larger set (B).
then n(A n B) is n(A) = 50.
the set intersection between A and B cannot get bigger than that. or A gets bigger ...
after all, the intersection means it is a set of all elements that exist in BOTH sets.
but then there must be other elements besides A and B in the universal set too, because n(universal set) = 96, and n(A u B) would be only 60.
the min. value could be the empty set or 0. but because n(universal set) = 96, and n(A) + n(B) = 110 and larger than 96, it means that there have to be some shared elements. at least 110 - 96 = 14 elements.
in this case there cannot be other elements in the universal set than A and B. and n(universal set) = n(AuB) = 96.
We just have to solve to get a simplified answer
we have
9y + 5 = 7 + 3y + 2y
9y +5 = 7 + 5y
9y-5y= 7-5
4y=2
so if we solve further we will not get the answer that is given in option
so option d is the write answer
Answer:
Therefore the measure of the central angle is 45.86°.
Step-by-step explanation:
Given:
Radius = 9 cm
arc length = 7.2 cm
pi = 3.14
To Find:
Central angle = θ =?
Solution:
If the θ measured in degree then the arc length is given as
Where r = radius, θ = Central angle
On substituting the values we get
Therefore the measure of the central angle is 45.86°.
