Center at (h,k) and radius r is
(x-h)²+(y-k)²=r²
so given
center at (9,-8)
(x-9)²+(y-(-8))²=r²
(x-9)²+(y+8)²=r²
input the point (19,22) to find r²
x=19 and y=22
(19-9)²+(22+8)²=r²
10²+30²=r²
100+900=r²
1000=r²
10√10=r
well, the equation is
(x-9)²+(y+8)²=1000
Answer:
45°
Step-by-step explanation:
<u>Let </u><u>:</u><u>-</u><u> </u>
<u>We </u><u>know </u><u>:</u><u>-</u>
- The sum of supplementary angles is 180° .
<u>On </u><u>adding</u><u> </u><u>:</u><u>-</u><u> </u>
→ x + 3x = 180°
→ 4x = 180°
→ x = 180°/4
→ x = 45°
<h3>
Hence the smaller angle is 45° .</h3>
100 to 250 trees ................
To write an equation in point-slope form, we need the slope and a point.
The points given to us by the explanation are (3, 63) and (5, 57) where the x value represents the number of days without rain and the y value represents the depth of the water in inches.
To find the slope, we use the expression:
Change in y/change in x = 63-57/3-5
When simplified, we get: 6/-2 = -3
Therefore, the slope is -3
Note that we can use either of the points in our equation and we will still get the same equation.
Now we just need to substitute in our values:
y = -3(x-3) + 63 which is sometimes written as y - 63 = -3(x-3)
Hope this helps!
