Which Contacts section results from the intersection of the plane and the double nap cone shown in the figure
1 answer:
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Let us denote the smaller even integer by 
.
Then, the next even integer must be
.
To verify, set as any even number, say 
.
Then, the next even integer must be 2 more than this number, i.e.
.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this:
Then, the next even integer must be
To verify, set
Then, the next even integer must be 2 more than this number, i.e.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this:
Answer:
9
Step-by-step explanation:
A quadratic equation is
The axis of symmetry is 1. This means that some value of
-b/2a =1.
f(0) represent one of the horinzontal roots. Since f(0) equal 0, the constant is 0.
Notice how x=1 is the line of symmetry. This means when x=4 and x=-2, the quadratic is equal. so consider this equation.
=-24
16a+4b= -24
4a-2b=-24
Solve for a by elimination.
2(4a-2b=-24)= 8a-4b=-48
Add both equations.
(16a+4b=-24)+(8a-4b=-48)= 24a=-92
Solve for a.
24a=-92
a=-3
Subsitute to in for b.
16(-3)+4b=-24
-48+4b=-24
4b=24
b=6
This means a=-3
b=6
So b-a is
6+3=9