Answer:
Teresa should build 7.5 inches model.
Step-by-step explanation:
Consider the provided information.
Teresa is building a scale model of the JP Morgan chase Tower in Houston.
Her scale model, 1.5 inches represents 61 meters.
The actual building is 305 meters tall,
First find how many 61's are there in 305.
For this divide 305 by 61.

Actual building is 5 times taller than 61. Thus the model should be 5 times taller than 1.5.
multiply 1.5 with 5 gives us:

Hence, Teresa should build 7.5 inches model.
Answer:
Step-by-step explanation:
If you plot this point and the directrix on a coordinate plane, you can see that the directrix is 1/4 of a unit below the vertex. Since, by nature, a parabola opens in the direction opposite the directrix and "hugs" the focus, this is a positive x-squared parabola (meaning it opens upwards). The formula for this type of a parabola is, in vertex form,

where p is distance (in units) between the vertex and the directrix and h and k are the coordinates of the vertex. For us, p = .25, h = 7, and k = -6. Filling in our formula:

Simplify the left side to
which simplifies, in its entirety, to

Answer:
(2,3)
Step-by-step explanation:
Answer:
1, yes
2, no
Step-by-step explanation: