You have to complete the square on this to get it into standard form of a circle. Move the 8 over to the other side because that's part of the radius. Group together the x terms, take half the linear term which is 8, square it and add it in to both sides. Half of 8 is 4, 4 squared is 16, so add in 16 to both sides. I'll show you in a sec. You don't need to do anything to the y squared term. This just means that the center of the circle does not move up or down, only side to side, right or left. Here's your completing the square before we simplify it down to its perfect square binomial.
. Now break down the parenthesis into the perfect square binomial and do the addition of the right:
. This is the standard form of a circle that has a center of (4, 0) and a radius of
Answer:
The correct option is;
Segment ED ≅ segment FD because segment EF is perpendicular to a radius of circle A
Step-by-step explanation:
All chords perpendicular to the radius of a circle are bisected by the radius of the circle
Given that DA can be extended to the circumference of circle A to form a radius of the circle A, and that DA is perpendicular to EF, therefore, DA bisects EF or EF is bisected into two equal parts by DA such that segment ED is congruent to segment FD
Therefore, the correct option is that segment ED ≅ segment FD because segment EF is perpendicular to a radius of circle A.
Answer:
x < 12
Step-by-step explanation:
So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:
8(x+26) < 304
Lets start to solve for x by dividing by 8, giving us:
x+26 < 38
Now lets isolate x by subtracting 26 from both sides, which gives us our answer:
x < 12
So x is less than 12.
Hope this helps!
(12 gallons)/(5 minutes<span>) = (2.4 </span>gallons<span>)/(1 minute)
So it'd be 2.4 gallons a minute.
Have a nice day! :D</span>
Answer:
b=0
Step-by-step explanation:
y=mx+b
(0,0) means x=0 and y=o
m=2
Make b the subject of formula
b=y-mx
b=0-2(0)
b=0-0
b=0
Therefore,0=2(0)+0
=0
Therefore the equation of the slope is 0
