<em>x</em> ² - 4<em>x</em> + <em>y</em> ² + 8<em>y</em> = -4
(<em>x</em> ² - 4<em>x</em> + 4) + (<em>y</em> ² + 8<em>y</em> + 16) = -4 + 4 + 16
(<em>x</em> - 2)² + (<em>y</em> + 4)² = 16
(<em>x</em> - 2)² + (<em>y</em> + 4)² = 4²
which is the equation of a circle centered at (2, -4) and with radius 4.
Answer:
75π in²
Step-by-step explanation:
The shaded sector is 3/4 of the circle. We can use the area formula for a circle to find the area of the whole circle, then multiply that result by 3/4.
A = πr² = π(10 in)² = 100π in²
Then the area of 3/4 of the circle is ...
3/4·A = (3/4)·100π in² = 75π in²
This is false because 20-8 is 12 and 12 times 5 isnt 17
Answer:
$166.66
Step-by-step explanation:
45.99 + 32.98 + 74.99 =153.96
153.96(1.0825)= 166.66
Answer:
third side = 4
Step-by-step explanation:
third side is hypoenuse as it is opposite to 90 degree.
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotenuse)^2
2^2 + (2
)^2 = hypotenuse^2
4 + 4*3 = hypotenuse^2
16 = hypotenuse^2
= hypotenuse
4 = hypotensue