Answer:
6 hearts to 9 stars
Step-by-step explanation:
5x-2y=3
-5x+4y=9
2y= 12
divide it by 2
y= 6
put y in any equation
5x-2 (6)=3
5x-12=3
5x= 3+12=15
divide by 5
x=3
y= 6
To write the given quadratic equation to its vertex form, we first form a perfect square.
x² - 2x + 5 = 0
Transpose the constant to other side of the equation,
x² - 2x = -5
Complete the square in the left side of the equation,
x² - 2x + (-2/1(2))² = -5 + (-2/1(2))²
Performed the operation,
x² - 2x + 1 = -5 + 1
Factor the left side of the equation,
(x - 1)² = -4
Thus, the vertex form of the equation is,
<em> (x-1)² + 4 = 0</em>
Because the triangles are similar the ratio of all the sides would be the same. So you need to find the ratio of the common sides and then use that ratio to find the unkown side.
In this picture sides FG = 52, FV would be the same side and is 24.
Dividing 24/52 = 0.461, so the unkown side WV would be 0.444 of it's common side HG.
HG = 39
39 * 0.461= 18.
The answer is C. 18
