Look at the picture.
ΔZYX and ΔDYC are similar. Therefore the lengths of sides are in proportion:

DC = x
ZX = 16
DY = a
ZY = a + a = 2a
Substitute:

<em>multiply both sides by 16</em>

<h3>Answer: CD = 8</h3>
Answer:
centre = (2, - 3 ) and radius = 5
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² - 4x + 6y - 12 = 0 ( add 12 to both sides )
x² + y² - 4x + 6y = 12 ( collect x/ y terms )
x² + 4x + y² + 6y = 12
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(-2)x + 4 + y² + 2(3)y + 9 = 12 + 4 + 9
(x - 2)² + (y + 3)² = 25 ← in standard form
with (h, k ) = ( 2, - 3 ) and r =
= 5
Answer:
21.04
Step-by-step explanation:
the 8 is closest to 10 so that would make the 3 a 4.
Answer:
M+16m
Step-by-step explanation:
-9m+9 cancel eachother out because it is a negative and a postive value, so you would just put the variable. For 8m+8 it would be 16m because the sre both positive so you would add them like normal
That would be : y = 2x + 1