Answer:
The length is 2.5 units
Step-by-step explanation:
Before we find the value of the length of the side, we need the measure of the coordinates after dilation
B’ = 1/2 B = 1/2(3,2) = (1.5, 1)
C’ = 1/2 C = 1/2( 0,-2) = (0,-1)
The measure of the length is the distance between the two points
Mathematically, that would be;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(0-1.5)^2 + (-1-1)^2
D = √(2.25 + 4)
D = √6.25
D = 2.5 units
Keywords:
<em>average rate of change, parabola, interval, points
</em>
For this case we have to find the average rate of change of a parabola in the interval from to . To do this, we need two points for the parabola pass, and apply the following formula:
We have the following points, taking into account that:
Substituting:
So, the average rate of change for the given graph is 0 in the given interval
Answer:
<span> With one point of the compass on the vertex of the angle, draw an arc that </span>intersects both sides of the angle.Draw an arc from each of these points of intersection so that the arcs intersect in the interior of the angle. The compass needs to stay open the same amount throughout this step.Draw the ray from the vertex of the angle to the intersection of the two arcs drawn during the previous step.
190x + 210x = 2000
400x = 2000 <-- Combine like terms
x = 5
In 5 hours they will separated by 2000 miles.
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<span>c. The slope of the line represented by this table is -3 and the y-intercept is -2.</span>