Stand form of a circle is (x-h)²+(y-k)²=r², (h,k) being the coordinates for the center of the circle, r is the radius.
use the given three points to find the three unknown constants h, k, and r
(3-h)²+(1-k)²=r²
(-2-h)²+(6-k)²=r²
(-5-h)²+(-3-k)²=r²
expand these three equations:
9-6h+h²+1-2k+k²=r²
4+4h+h²+36-12k+k²=r²
25+10h+h²+9+6k+k²=r²
subtract equation 1 from equation 2, you get: 10h-10k=-30, h-k=-3
subtract equation 2 from equation 3, you get: 6h+18k=6, h+3k=1
subtract one form the other: 4k=4, k=1
h=1-3k=-2
find r²: (3+2)²+(1-1)²=r², (r=5)
so the equation is (x+2)²+(y-1)²=5²
Answer:
total area = 39.6 square units
Step-by-step explanation:
determine the inside angle
360 / 5 = 72°
half of the triangle = 36°
given:
adj = 3.3
Ф = 36°
length of the opp of a small triangle is = adj. tan Ф
opp = 3.3 * tan 36 = 2.4
area of a triangle = 1/2 b * h x 2 tringles
area =( 1/2 * 2.4 * 3.3 ) * 2
area = 7.92 multiplied by 5 equal shapes
total area = 7.92 * 5
total area = 39.6 square units
hope this helps
Answer:
The equation is y = 4x + 5
Step-by-step explanation:
To find the equation to this table, pick two ordered pairs and use the slope formula to find the slope. For this we'll use (4, 21) and (8, 37).
m(slope) = (y2 - y1)/(x2 - x1)
m = (37 - 21)(8 - 4)
m = 16/4
m = 4
Now we can use that slope along with any point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 21 = 4(x - 4)
y - 21 = 4x - 16
y = 4x + 5
Answer:
Percent
Step-by-step explanation:
the amount of decrease divided by the original amount times 100 equals <u><em>percent of decrease</em></u>
Answer:
It’s the bottom answer.
Step-by-step explanation:
hope I helped
