Answer:
y = -4/5x + 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: 4x + 5y = 20
<u>Step 2: Rewrite</u>
- Subtract 4x on both sides: 5y = 20 - 4x
- Divide 5 on both sides: y = 4 - 4/5x
- Rearrange: y = -4/5x + 4
Answer:
B(4, - 3 )
Step-by-step explanation:
We have A(2, - 7) and C(7, 3 )
Using the section formula to calculate the coordinates of B
= 
= 
= 
= 4
= 
= 
= 
= - 3
Hence B(4, - 3 )
which means
has no solution, and we can omit that factor.
This leaves us with
which occurs for
.
The three missing lengths are the left hypotenuse, x, the middle altitude, y, and the right hypotenuse, z.
9/y = y/16
y^2 = 9 * 16
y^2 = 144
y = 12
9^2 + 12^2 = x^2
x^2 = 225
x = 15
12^2 + 16^2 = z^2
z^2 = 400
z = 20
From left to right, the sides measure 15, 12, and 20 units.
