Y - (-5) = -7
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Simplify
y + 5 = -7
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Subtract 5 from each side
y + 5 - 5 = -7 - 5
y = -12
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y = -12 is your answer
3694.51 is the answer because the formula you have to use is V=pi r^2h.
V=pi14^2*6
V=pi*196*6
V=pi*1176
V=3694.51
It is 6 units because you find the absolute value of the two different coordinates, in this case it is 4 and -2. Since they belong in different quadrants (one x or y value is positive and the other is negative) you add them. If they are both in the same quadrant, you subtract them.
Answer:
Step-by-step explanation:
Quadratic function is given as
Let's find a, b and c:
Substituting (0, 6):
Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.
Substituting (2, 16), and c = 6
=> (Equation 1)
Substituting (3, 33), and c = 6
=> (Equation 2)
Subtract equation 1 from equation 2 to solve simultaneously for a and b.
Replace a with 4 in equation 2.
The quadratic function that represents the given 3 points would be as follows:
<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>
1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)
2) Angles ABC and CDE are right angles (perpendicular lines form right angles)
3) Angles ABC and CDE are equal (all right angles are equal)
4) Angles ACB and DCE are equal (vertical angles are equal)
5) Triangles ABC and EDC are congruent (ASA)
<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>
6) AB = DE (corresponding parts of congruent triangles are equal)