Given that a polynomial function P(x) has rational coefficients.
Two roots are already given which are i and 7+8i,
Now we have to find two additional roots of P(x)=0
Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.
conjugate of a+bi is given by a-bi
So using that logic, conjugate of i is i
also conjugate of 7+8i is 7-8i
Hence final answer for the remaining roots are (-i) and (7-8i).
 
        
             
        
        
        
Answer:
380.13
Step-by-step explanation:
area= (pi)x(r^2) 
pi times r squared
 
        
                    
             
        
        
        
Brand a costs less per load because b is more expensive per load
        
                    
             
        
        
        
Answer:
 The triangle has three acute angles, so it is an acute triangle. The triangle has two congruent sides, so, it is an isosceles triangle. It is an acute isosceles triangle.
Step-by-step explanation:
 
        
             
        
        
        
Math Find the Distance Between Two Points (3,4) , (-2,1)
(
3
,
4
)
(
3
,
4
)
 , 
(
−
2
,
1
)
(
-
2
,
1
)
Use the distance formula to determine the distance between the two points.
Distance
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Distance
=
(
x
2
-
x
1
)
2
+
(
y
2
-
y
1
)
2
Substitute the actual values of the points into the distance formula.
√
(
(
−
2
)
−
3
)
2
+
(
1
−
4
)
2
(
(
-
2
)
-
3
)
2
+
(
1
-
4
)
2
Simplify.
Tap for more steps...
√
34
34
The result can be shown in multiple forms.
Exact Form:
√
34
34
Decimal Form:
5.83095189
…