Answer:
Step-by-step explanation:
The vertices lie on the x-axis, as is determined by their coordinates. This makes the center of this hyperbola (0, 0) because the center is directly between the vertices. The fact that the foci also lie on the x-axis tells us that this is the main axis. What this also tells us is which way the hyperbola "opens". This one opens to the left and the right as opposed to up and down. The standard form for this hyperbola is:
and so far we have that h = 0 and k = 0.
By definition, a is the distance between the center and the vertices. So a = 5, and a-squared is 25. So we're getting there. Now here's the tricky part.
The expressions for the foci are (h-c, k) and (h+c, k). Since we know the foci lie at +/-13, we can use that to solve for c:
If h+c = 13 and h = 0, then
0 + c = 13 and c = 13.
We need that c value to help us find b:
and
and
and
so
b = 12. Now we're ready to fill in the equation:
and there you go!
Answer:
It could be 11/10
Step-by-step explanation:
It is the commutative property of addition
Interpreting the graph and the situation, it is found that the values of d that can be included in the solution set are 1 and 4.
----------------------
- According to Benford's law, the probability of a number starting with digit is d is:
- A number can start with 10 possible digits, ranging from 1 to 9, which are all integer digits.
- Thus, d can only assume integer digits.
- In the graph, the solution is d < 5.
- The integer options for values of d are 1 and 4.
- For the other options that are less than 5, they are not integers, so d cannot assume those values.
A similar problem is given at brainly.com/question/16764162
Answer:
C
Step-by-step explanation:
x is the exterior angle of angle EFG while EFG = 180 - 62 - 43 = 75
—> x = 180 - 75 = 105
