Answer:
The answer to your question is x² + y² - 8x - 6y = 0
Step-by-step explanation:
Data
P (1, 7)
Q (8, 6)
R (7, -1)
Use the general equation of the Circle
x² + y² + Dx + Ey + F = 0
Process
1.- Substitute each point in the general equation and simplify
For P
(1)² + (7)² + D + 7E + F = 0
1 + 49 + D + 7E + F = 0
50 + D + 7E + F = 0
D + 7E + F = -50 Equation l
For Q
(8)² + (6)² + 8D + 6E + F = 0
64 + 36 + 8D + 6E + F = 0
100 + 8D + 6E + F = 0
8D + 6E + F = -100 Equation ll
For R
(7)² + (-1)² + 7D - E + F = 0
49 + 1 + 7D - E + F = 0
50 + 7D - E + F = 0
7D - E + F = -50 Equation lll
Solve the system of equations, I do not include the process but the solutions are
D = -8 E = -6 F = 0
-Substitution
x² + y² - 8x - 6y = 0
5 students like cheesecake because if there is 20 students in all and 15 like chocolate and the rest like cheesecake you do 20-15=5
If 5 students like cheesecake out of 20 it would be 5/20 20*5=100 just multiply by 5 5*5=25%
25% of students like cheesecake
Answer:
Response bias
Step-by-step explanation:
Response bias means: anything in a survey that influences responses. In this situation the question is "Do you favor harsher penalties for individuals who sell guns illegally?" The person is asking a very specific question rather than allowing it to be broad. The scenario is that the surveyor wanted tot estimate the percentage of people who favor just stricter gun laws in general and not within the limits of illegally sold guns. If he were to ask "Do you favor stricter penalties for buying/selling guns?" then it would fit the guidelines of the initial estimate. hope this makes sense :)
We can find x only if we know that the figure is a REGULAR octagon, i.e. an octagon with all sides equal, and all interior angles equal.
We will ASSUME that the figure is a regular octagon.
For a regular polygon, the central angle subtended by each side is equal.
The central angle is 360 degrees.
So the central angle subtended by a single side euqals
a=360 degrees / 8 sides = 45 degrees / side
Since x is the total angle subtended by three sides, so
x=3*45=135 °