Answer:
×=1
Multiply both sides of the equation by 12, the least common multiple of 4,3.
3x+4(x−1)=3
Use the distributive property to multiply 4 by x−1.
3x+4x−4=3
Combine 3x and 4x to get 7x.
7x−4=3
Add 4 to both sides.
7x=3+4
Add 3 and 4 to get 7.
7x=7
Divide both sides by 7.
x=
7
7
Divide 7 by 7 to get 1.
x=1
Answer:
272 feets
Step-by-step explanation:
Badwater Basin = 279 feets below sea level = - 279 feets (relative to sea level)
New Orleans = 7 feets below sea level = - 7 feets (relative to sea level)
Hence,
New Orleans is higher Than Badwater Basin by :
279 feets - 7 feets
= 272 feets
Compound interest sequence
Answer:
In geometry we use input/output process when we determine how shapes are altered or moved. ... f) P (x,y) ------ > (x + 3, 2y) (-4,9). A' (-1, 18)_.
Answer:

Step-by-step explanation:
The focus lies on the x axis and the directrix is a vertical line through x = 2. The parabola, by nature, wraps around the focus, or "forms" its shape about the focus. That means that this is a "sideways" parabola, a "y^2" type instead of an "x^2" type. The standard form for this type is

where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (that distance is the same; we only need to find one). That means that the vertex has to be equidistant from the focus and the directrix. If the focus is at x = -2 y = 0 and the directrix is at x = 2, midway between them is the origin (0, 0). So h = 0 and k = 0. p is the number of units from the vertex to the focus (or directrix). That means that p=2. We fill in our equation now with the info we have:

Simplify that a bit:

Solving for y^2:
