The square in the graph represents one unit. In the diagram, the line has coordinates (0,4) and (4,0). Use the cpordinates, find the gradient and the equation using y = mx + c. So the equation of this line is x + y = 4. Now having obtained the equation of yhe line, the shaded part is below the line, therefore the inequality is : x + y =< 4
1) <span>Pairs A(2, 5), B(6, 5), and C(6, 1)
point D
Dx=Cx-(Bx-Ax)=(6-(6-2))=2
Dy=Cy=1
</span>the coordinates of vertex D is (2,1)
2) Pairs <span>A(2, 3), B(7, 3), and C(7, -2)
</span>point D
Dx=Cx-(Bx-Ax)=(7-(7-2))=2
Dy=Cy=-2
the coordinates of vertex D is (2,-2)
3) Pairs <span>A(-5, -1), B(1, -1), and C(1, -5)
</span>point D
Dx=Cx-(Bx-Ax)=(1-(1+5))=-5
Dy=Cy=-5
the coordinates of vertex D is (-5,-5)
4) Pairs <span>A(-1, 4), B(7, 4), and C(7, -1)
</span>point D
Dx=Cx-(Bx-Ax)=(7-(7+1))=-1
Dy=Cy=-1
the coordinates of vertex D is (-1,-1)
<span>A) 12x + 15y = 34
</span><span>
</span><span>B) -6x + 5y = 3 Multiplying B) by -3
</span>
B) 18x -15y = -9 Then adding this to A) equals
30x = 25
x =
<span>
<span>
<span>
0.8333333333...
</span></span></span>
<span>A) 12x + 15y = 34
</span>
12 * <span>
<span>
<span>
0.8333333333... + 15y = 34
</span></span></span><span><span><span>
</span></span></span><span><span><span /></span></span>10 + 15y = 34
15y = 24
y = 1.6
<span><span>
</span>
</span>
Answer:
1.20, 10.8
Step-by-step explanation:
d = n^2 - 12n + 43
d = 30
30 = n^2 - 12n + 43
0 = n^2 - 12n + 13
now solve for n using quadratic formula:
a=1, b=-12, c=13
n = (-b +- sqrt( b^2 -4ac))/2a
two answers ( one for + the square root, one for - the square root)
n = 1.20, n = 10.8
