The domain is the set of all possible values of independent variable I.e of x. The range is the complete set of all possible resulting values of the dependent variable of i.e of y
Answer:
Step-by-step explanation:
a) 5 cm(25000)(1 m/100 cm)(1 km/1000 m) = 1.25 km
b) 2.2 km (1000 m/km)(100 cm/m) / 25000 = 8.8 cm
Answer:
Step-by-step explanation:
The circumference formula is
C = 2πr. If we are solving the for the radius, and we are using 3.14 for π, we can fill in accordingly:
106.76 = 2(3.14)r and
so
r = 17
Area of ABC : AB*AC/2
the maximum of the parabola is reached at x=-4/(2*(-1))=2 hence A is at (2,0) and B is at (2,(-2)^2+4*2+C)=(2,12+C)
C is the second root (x-intersect), which we can find :
determinant1 : D=16-4*(-1)*C=4(4+C) thus the second root is at x=
Hence the area of the triangle is
hence
.
We remark that
Hence 4+C=16 thus
C=12
We have to find the slope of these lines using the slope formula
<span>slope = (y2 - y1) / (x2 - x1) </span>
<span>Line WX : </span>
<span>(-1,2) x1 = -1 and y1 = 2 </span>
<span>(4,12) x2 = 4 and y2 = 12 </span>
<span>now sub into the slope formula </span>
<span>slope = (12 - 2) / (4 - (-1) </span>
<span>slope = 10/(4 + 1) </span>
<span>slope = 10/5 which reduces to 1/2 </span>
<span>so the slope of line WX = 1/2 </span>
<span>Line YZ : </span>
<span>(5,8) x1 = 5 and y1 = 8 </span>
<span>(-2,-6) x2 = -2 and y2 = -6 </span>
<span>now we sub into slope formula </span>
<span>slope = (-6-8) / (-2-5) </span>
<span>slope = -14/-7 </span>
<span>slope = 1/2 </span>
<span>so the slope in line YZ = 1/2 </span>
<span>Line WX and line YZ are : (D) parallel because the slopes are the same.</span>