Answer:
5.9(86)
Step-by-step explanation:
Answer:
Step-by-step explanation:
W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form 
.
We know that vertex form of parabola in form 
, where (h,k) in vertex of parabola.
Upon substituting coordinates of vertex, we will get:
To find the value of a, we will substitute coordinates of point (0, -1) as:
Therefore, our required equation would be .
Answer:
C. (f - g)(x) = 3ˣ - 2x + 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Function Notation
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3ˣ + 10
g(x) = 2x - 4
(f - g)(x) is f(x) - g(x)
<u>Step 2: Find (f - g)(x)</u>
- Substitute: (f - g)(x) = 3ˣ + 10 - (2x - 4)
- Distribute -1: (f - g)(x) = 3ˣ + 10 - 2x + 4
- Combine like terms: (f - g)(x) = 3ˣ - 2x + 14
Answer:
=> equation 1
=> equation 2
=> equation 3
Step-by-step explanation:
Points P, Q, R, S, and T are collinear therefore, the following equations can be written based on the segment addition postulate:
=> equation 1
=> equation 2
=> equation 3
More equations can actually be written from the diagram given using the segment addition postulate. Such as:
Answer:
15 km
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2
Draw a triangle with 12 for x direction and 9 for y direction
The distance is the connecting line which is the hypotenuse
12^2 + 9^2 = c^2
144+81 = c^2
225 = c^2
Taking the square root of each side
sqrt(225) = sqrt(c^2)
15 =c
