Answer:
b)
Step-by-step explanation:
We can use the discriminant to determine how many real solutions a quadratic equation in the form
has.
Answer:
Step-by-step explanation:
The first picture below shows the missing image in the question.
There are 4 edges of each tile;
This clearly explains to us that the total number of edges present in the n tiles is 4n.
Now, if a tile "X" touches and comes in contact with another tile "Y", then edges touching each other are one edge of a tile X and one edge of a tile Y.
From the second diagram below, the edge, X_2, and Y_4 are touching each other.
Now, the total number of edges that touch some edges is always even.
We can now say that:
The edge length of filling = No. of edges that do not touch another file
= Total no. of edges - No. of edges that touch another edge.
However, the total number of edges is even.
The number of edges that touch another edge is also even.
Thus, the difference is also even and the number of edges that do not touch another is even.
So, the edge length of filling is always even.
Answer:
Step-by-step explanation:
The standard equation of a hyperbola is given by:
where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²
Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)
The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61
The foci is (h ± c, k) = (±√98, 0). Therefore c = √98
Hence:
c² = a² + b²
(√98)² = (√61)² + b²
98 = 61 + b²
b² = 37
b = √37
Hence the equation of the hyperbola is:
Answer:
x = 1
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
