Answer:
y2-y1/x2-x1
Step-by-step explanation:
x1= -4 x2= -5
y1= 8 y2= -6
-6-8/-5+4=14
so M = 14
y-y1=m(x-x1)
y-8=14(x+4)
8y=14x+56
rearrange
-14x+8y=56
but you need it in the form of AX+BX=C (THE X SHOULD BE POSITIVE SO CHNAGE ALL THE SIGNS )
14X-8Y=-56
A: The center is the mid point of the diameter. So, the center of the circle will be the midpoint of points P and Q. The coordinates of the midpoint are the averaged coordinates of the endpoints.
So, the x-cooardinate of the center is the average of the x-coordinates of P and Q:

Try to do the same thing with the y coordinates, and you'll get the y-coordinate
. This first part will be over, because the circle will be point

B: The radius is exactly half the diameter. So, we find the length of the diameter, and we divide it by 2. To find the length of the diameter, we use the standard formula for the distance between two points:

Divide this length by 2 and you'll get the radius.
C: At this point, we have both the radius and the coordinates of the center. The equation of the circle depends on these two parameters, and it is

Substitute
and
with the coordinates of the center (found in point A.) and
with the radius (found in point B.) and you'll have the equation of the circle.
Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.
Answer:
15
Step-by-step explanation:
Let us first write an equation where the unknown number is represented with variable x. <em>The sum of a fifth of x and two is five:</em>

Great! Let's solve for x by isolating the variable.

<u>Therefore, the unknown number is 15.</u>
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<em>I hope this helps! Let me know if you have any questions :)</em>
Answer:
The answer is x=9 so, its option 3.