Answer:
Outside the circle
Step-by-step explanation:
Let's first write the equation of this circle: 
, where (h, k) is the center and r is the radius. Here, the center is (-6, -2). We need to find the radius, which will just be the distance from N to E:
NE = 
The radius is √34, which means that r² = 34. So, our equation is:
(x + 6)² + (y + 2)² = 34
Plug in -10 for x and -7 for y:
(x + 6)² + (y + 2)² = 34
x² + 12x + 36 + y² + 4y + 4 = 34
x² + 12x + y² + 4y + 40 = 34
x² + 12x + y² + 4y + 6 = 0
(-10)² + 12 * (-10) + (-7)² + 4 * (-7) + 6 = 7
Since 7 > 0, we know that H lies outside the circle.
Step-by-step explanation:
<u>John</u>
1hour=x
6x=150
X=150÷6=25
John earns 25 dollars per hour
<u>Peter</u>
<u>1hour=x </u>
<u>8</u><u>x=</u><u>160</u>
<u>X=</u><u>160</u><u>÷</u><u>8</u><u>=</u><u>20</u><u> </u>
- Peter earns less than <u>John</u><u> </u>
1/2 of 40 is 20, and the question says 1/4 of the REMAINING cookies, and 1/4 of 20 is 5. There are 3/4 left, or 15 cookies. I hope this helps!
Step-by-step explanation:
f(x)=-x²+8x
By replacing x with -7, we get
f(-7)=-(-7)²+8×(-7)
=-49-56
=-105
