The answer is -50.429
You would replace the -1/2 where r is at, divide 7& -1/2, then add it to 51
Answer:
y - 5 = -3(x - 12)
General Formulas and Concepts:
<u>Algebra I</u>
Coordinates (x, y)
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
Point (12, 5)
Slope <em>m</em> = -3
<u>Step 2: Write Function</u>
<em>Plug in variables into the general formula.</em>
- Substitute [PSF]: y - 5 = -3(x - 12)
City hall to post office = 6 1/2 miles = represented by f
city hall to library site = 1 1/4 miles = represented by d
library site to post office = unknown. = represented by e
City hall to library site PLUS library site to post office IS EQUAL to city hall to post office
d + e = f
1 1/4 + e = 6 1/2
find e.
e = 6 1/2 - 1 1/4
e = 13/2 - 5/4
e = (13*2)/(2*2) - 5/4
e= 26/4 - 5/4
e = (26-5)/4
e = 21/4
e = 5 1/4 distance from library site to post office.
To check:
d + e = f
1 1/4 + e = 6 1/2
1 1/4 + 5 1/4 = 6 1/2
6 2/4 = 6 1/2
6 1/2 = 6 1/2
To answer, make 5 1/2 an improper fraction and multiply straight across from there.
11/2 * 1/8 = 11/16 and that is in its simplest form.
