Answer:
-2/3
Step-by-step explanation:
To find the slope, pick two points on the line, and use the slope formula
( 0,50) and (30,30)
m = ( y2-y1)/(x2-x1)
= (30-50)/(30-0)
= -20/30
= -2/3
Step-by-step explanation:
When you complete the square, you change the equation so that the left side of the equation is a perfect square trinomial. But mainly completing the square is a technique that transforms your quadratic equation from an equation that can't be factored into one that can.
7/3 +3(2/3 -1/3)^2 =
2/3 -1/3 = 1/3 now you have
7/3 +3(1/3)^2
1/3^2 = 1/9
7/3 +3(1/9)
3*1/9 = 1/3
7/3 + 1/3 = 8/3, which can be changed to 2 2/3
Answer:
25i
Step-by-step explanation:
Your calculator or your knowledge of powers of 5 will tell you that √625 is 25. The minus sign makes the root imaginary.
Answer:
Explanation:
<em>The line y = -1 </em>is horizontal: parallel to the y-axis.
The point<em> B (2,3)</em> is above <em>the line y = - 1 </em>at a distance equal to the y-coordinate of B (y = 3) less - 1:
When the <em>point B (2,3) </em>is <em>reflected over the line y = -1</em>, the x-coordinate does not change. The image will be 4 units down the line y = -1, thus the y-coordinate will be - 1 - 4 = - 5.
Hence,<em> the coordinates of the vertex B'</em> are x = 2, y = - 5: (2, - 5).
