Answer:
Step-by-step explanation:
Circumference is given by this formula below. What gives us the radius.
The diameter of the circle is calculated by dividing the Circumference, 11304 in this case by 
Answer:
10x . . . . . (Note the sign of the middle term is negative. 10x goes in the box.)
Step-by-step explanation:
The sum of the two roots is ...
... (5 -3i) +(5 +3i) = 10
In a quadratic with leading coefficient 1, the coefficient of the 1st-degree term is the opposite of the sum of the roots. Here, that means the middle term is -10x. The minus sign is given, so the answer is 10x.
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<em>How Do We Know?</em>
When "a" and "b" are roots of a quadratic in x, it has factors (x -a)(x -b). The product of those two factors is ...
... (x -a)(x -b) = x² -(a+b)x +ab
Here, that means the product of the factors (5 -3i)(5 +3i) is ab = 34, which it is. Their sum is (a+b) = 10, so the x-term is -(a+b)x = -10x.
Answer:
50 units
Step-by-step explanation:
this is a walk around problem
the sides of the triangles are 19, 13, and 18
perimeter = 19 + 13 + 18
p = 50 units
Answer:
See below
Step-by-step explanation:
For the model function 
, 
is the vertex, and 
is the horizontal growth or shrink factor.
We know that our vertex is 
from our graph, so we'll need to determine the value of by using one of the points on the graph:
Thus, our equation for the given graph is 
.
The domain of a function is the set of all existing real x-values, thus, our domain for the given function is 
, or all real x-values.
The range of a function is the set of all existing real y-values, thus, our range for the given function is 
, or all real y-values starting with y=-1 which is included.
