End point - points on either end of a line segment or on one end of a ray.
Ray - A part of a line, with one endpoint, that continues without end in one direction
Line - a line of points that extends infinitely in two directions
Collinear - points that lie on the same line
Midpoint - A point that divides a segment into two congruent segments
Plane - A flat surface on which a straight line joining any two points would wholly lie.
3 dimensions - height, width, and depth
Since you know the area and the width, you can divide the area by the width to find the length. This gives you a length of 110 yards. To find the perimeter of the soccer field, you would add all the side lengths together. Since the width is 70, you would add 70 + 70, along with the length, 110 + 110. This gives you a perimeter of 360.
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Answer:
8. 4 +2q²/p² -4r/p +r²/p²
9. (x, y) = (3/4, -17/8)
Step-by-step explanation:
All of these questions are asking you to make use of the fact that ...
α + β = -q/p
αβ = r/p
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8. (2 +α²)(2 +β²) = 4 + 2(α² +β²) +α²β²
= 4 +2((α+β)² -2αβ) +(αβ)²
Substituting the above for the sum and product, you have ...
= 4 + 2((-q/p)² -2(r/p)) +(r/p)²
= 4 +2q²/p² -4r/p +r²/p²
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9. This is asking for the vertex of the parabola. The x-coordinate is ...
x=-b/(2a) = -(-3)/(2(2) = 3/4
Then the y-coordinate is ...
y = (2(3/4) -3)(3/4) -1 = (-3/2)(3/4) -1 = -9/8 -1 = -17/8
The (x, y) values of interest are (3/4, -17/8).
Answer:
she ran 1268 laps
Step-by-step explanation:
Answer:x) = 2x + 1
Step-by-step (x) = 2^x + 1 where x is an exponent of the number 2 Now to solve for the average rate of change of the given function from points x = 0 and x = 2, we must first assume that …explanation: