Answer:
The focus of the parabola is at the point (0, 2)
Step-by-step explanation:
Recall that the focus of a parabola resides at the same distance from the parabola's vertex, as the distance from the parabola's vertex to the directrix, and on the side of the curve's concavity. In fact this is a nice geometrical property of the parabola and the way it can be constructed base of its definition: "All those points on the lane whose distance to the focus equal the distance to the directrix."
Then, the focus must be at a distance of two units from the vertex, (0,0), on in line with the parabola's axis of symmetry (x=0), and on the positive side of the y-axis (notice the directrix is on the negative side of the y-axis. So that puts the focus of this parabola at the point (0, 2)
Answer:
The length of the diagonal of the trunk is 56.356011 inches
Step-by-step explanation:
According to the given data we have the following:
height of the trunk= 26 inches
length of the trunk= 50 inches
According to the Pythagorean theorem, to calculate the length of the diagonal of the trunk we would have to calculate the following formula:
length of the diagonal of the trunk=√(height of the trunk∧2+length of the trunk∧2)
Therefore, length of the diagonal of the trunk=√(26∧2+50∧2)
length of the diagonal of the trunk=√3176
length of the diagonal of the trunk=56.356011
The length of the diagonal of the trunk is 56.356011 inches
Rewrite it in the form a^2 - b^2, where a = 2x and b = 5
(2x)^2 - 5^2
Use the Difference o Squares: a^2 - b^2 = (a + b)(a - b)
<u>(2x + 5)(2x - 5) </u>
Since Christi earns $21 per hour, to find how much she earns by working 19 hours per week we need to multiply the hourly wage by the number of hours she works in a week:
Her weekly wage is $399
Answer: D) $399
The answer is 63.53 subtracts 5.23 from 68.76
