Answer:
Equation of the circle (x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given endpoints of diameter P(−2, 1) and Q(8, 9)
Centre of circle = midpoint of diameter
Centre = 
Centre (h, k) = (3 , 5)
<u><em>Step(ii):-</em></u>
The distance of two end points
PQ = 

PQ = √164 = 12.8
Diameter d = 2r
radius r = d/2
Radius r = 6.4
<u><em>Final answer:-</em></u>
Equation of the circle
(x-h)²+(y-k)² = r²
(x-3)²+(y-5)²=(6.4)²
x² -6x +9 +y² -10y +25 = 40.96
x² -6x +y² -10y = 40.96-34
x² -6x +y² -10y -7= 0
Answer:
Below.
Step-by-step explanation:
If its a right triangle it will obey the Pythagoras theorem.
17^2 = 289
11^2 + 15^2 = 121 + 225 = 346
- so NOT a right triangle.
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Reading a Cartesian Plane
Slope Formula: 
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (0, 3)
Point (1, 5)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:

- [Slope] Subtract:

- [Slope] Divide:

Answer:
y=3x+3
Step-by-step explanation:
To find the slope, find two points and use the rise over run.
Some points you can use are (0, 3) and (1, 6)
The rise is 3 and the run is 1.
3/1 = 1.
The slope is 3.
To find the y-intercept, find the point where x = 0.
(0, 3)
The y-intercept is 3.
Now you can write an equation.
y=mx+b
m is the slope and b is the y-intercept.
y=3x+3