Answer:
(x -2)² +(y +4)² = 34
Step-by-step explanation:
The center of the circle is the midpoint of the line segment:
S = (J +K)/2 = ((-1, -9) +(5, 1))/2 = (4, -8)/2 = (2, -4)
The radius of the circle is the distance between the center and either end point. We want the square of the radius for our formula.
r² = (5 -2)² +(1 -(-4))² = 9 +25 = 34
The equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Using the numbers we have found, the equation for circle S is ...
(x -2)² +(y +4)² = 34
Hi again!
2x - y = 80
5y = x
P.S. Are you struggling with Algebra, equations and inequations....my advice to you is to start using Khan Academy. It will help you a lot!
Ok stop talking and let's get to work!
We need to solve 2x - y = 80 for y
2x - y = 80
-y = 80 - 2x
Multiply both sides by -1 because y cannot be negative
-y * -1 = -1(80 - 2x)
y = 2x - 80
Now we can substitute 2x - 80 for y in 5y = x
5y = x
5(2x - 80) = x
Use the distributive property
(5)(2x) + (5)(-80) = x
10x - 400 = x
Add -x on both sides
10x - 400 - x = x - x
9x - 400 = 0
Add 400 on both sides
9x - 400 + 400 = 0 + 400
9x = 400
Divide both sides by 9
9x/9 = 400/9
x = 400/9
To find y, we can substitute 400/9 for x in y = 2x - 80
y = 2x - 80
y = 2(400/9) - 80
y = 800/9 - 80
y = 800/9 - 80/1
y = 800/9 + -720/9
y = (800 - 720)/9
y = 80/9
Thus,
The answers are: y = 80/9 and x = 400/9
As always, it is my pleasure to help students like you
The interior angle of a regular polygon is equal to 180(n - 2)/n. The exterior angle is always equal to 360/n. Using the given relationship from the item above, the equation that can be formed is,
180(n - 2)/ n = 3(360/n)
The value of n from the equation is 8. The polygon with 8 sides is an octagon.
<em>Answer: OCTAGON</em>
Answer:
3015
Step-by-step explanation:
45×67
is equal to Three thousand & fifteen
Answer:
If you need the y-intercept of that equation it is 5
Step-by-step explanation:
subtract the 5x to the other side to get y=-5x+5
