So, notice, the focus point is at -7, 5, and the directrix is at y = -11.
keep in mind that the vertex is half-way between those two fellows, and the distance from the vertex to either one of them is "p" units, check the picture below.
with that focus point and that directrix, the half-way over the axis of symmetry will be -7, -3, that's where the vertex is at, and notice the distance "p", is 8 units.
since the parabola is opening upwards, "p" is positive 8.
Answer:
(2.3 times 10^4) is less than (1.15 times 10^8). That means that every single one of these answer options is wrong. However, If the problem were how many times bigger is 1.15 x 10^8 than 2.3 x 10^4 then the answer would be 5000. So therefore all of these answers are incorrect. I now understand why you are so desperate for this answer!
Step-by-step explanation:
Answer:-2/7
Step-by-step explanation:
m=y2-y1/x2-x1
m=slope
Answer:
474.84 ft of fencing is needed
Step-by-step explanation:
We know that the angles of a triangle sum up 180º. We already know 2 of the triangle's angles (55º and 63º). Therefore the third angle measures:
180 - 55 - 63 = 62.
To know how much fencing is needed, we need the perimeter of the triangle, so we need to find out how much the other sides of the lot measure.
We will use law of sins to solve this problem.
First we solve for y:

Now we solve for the other side of the lot, x:

Now that we have the measures of all the sides we sum them up
total fencing needed= 150 + 163.16 + 161.68 = 474.84