Look at the number 425,690. What is the value of the digit 2?
1 answer:
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Answer:
(
)
Step-by-step explanation:
When factoring an expression like this, you need to divide all of the parts by a common number or variable. In this case, the only thing all of these numbers share is that they are divisible by 648. So, you would divide each number by 648 to simplify it, getting 1, 3, 4, and 2. Put these numbers in front of their respective variables, and put 648 outside of the parentheses to get the final answer.
Answer:
The standard form of a hyperbola with vertices and foci on the x-axis:
where:
- center: (h, k)
- vertices: (h+a, k) and (h-a,k)
- Foci: (h+c, k) and (h-c, k) where the value of c is c² = a² + b²
- Slopes of asymptotes:
The center of the given hyperbola is (0, 0), therefore:
Therefore are the vertices. From inspection of the graph,
.
Choose two points on the asymptote with the positive slope:
(0, 0) and (4, 6)
Use the slope formula to find the slope:
Use the <u>slopes of asymptotes</u> formula, compare with the slope found in part 2:
Therefore,
Substitute the found values of and
into the equation from part 1: