Answer:
Vertex (-3, -3)
Step-by-step explanation:
Highest or lowest point lying on the graph of a parabola is said to be the Vertex of a parabola.
By this definition, point P (lowest point) is the vertex of the given parabola.
Coordinates of the Vertex are (-3, -3).
Therefore, Vertex (-3, -3) is the answer.
First, we need to remember that the distance between two points (x1, y1) and (x2, y2) can be calculated with √[ (x1 - x2)^2 + (y1 - y2)^2 ].
Thus, we apply this formula to measure the lengths of AB, BC, and AC in ∆ABC.
AB = √[ (1 - -2)^2 + (7 - 2)^2 ] = √25 = 5 units
BC = √[ (-2 - 4)^2 + (2 - 2)^2 ] = √36 = 6 units
CA = √[ (4 - 1)^2 + (2 - 7)^2 ] = √25 = 5 units
From this, we can clearly see that BC is the longest side of ∆ABC with a length of √36 = 6 units. Thus, the answer is B: 6.
Since ∆ABC sides 5, 5, and 6. That makes it an isosceles triangle. Which makes the right answer to be B: isosceles.
Now, if we form a new triangle, ∆ABD, with D at (1, 2), we have the following lengths:
AB = 5 units
BD = √[ (-2 - 1)^2 + (2 - 2)^2 ] = √9 = 3 units
AD = √[ (1 - 1)^2 + (7 - 2)^2 ] = √25 = 5 units
Similarly, since ∆ABD has sides with lengths of 5, 3, and 5. This means it is isosceles. The answer for this item is B: isosceles.
We have shown above that AD is 5 units. Thus, answer is B: 5<span>.</span>
Answer:
$=s*1.06 (s+s*.06)
Step-by-step explanation:
You need to multiply be the cost of the shoes (1*s) and the cost of tax (.06) which is the same as multiplying by 1.06
9 to the 3 half power is 27. Hope that's what your wanting to know.
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<h3>
Answer: 80 degrees</h3>
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Explanation:
Angle 3 and the 100 degree angle are corresponding angles. They are both in the southeast quadrant of their four-corner angle configuration. Assuming the lines that look horizontal are parallel, this would mean angle 3 is 100 degrees. Recall that corresponding angles are congruent when we have parallel lines.
Once we know that angle 3 = 100, we will use this to find angle 4.
Angles 3 and 4 add to 180. They form a straight angle or straight line.
(angle3)+(angle4) = 180
(100) + (angle4) = 180
angle4 = 180-100
angle4 = 80 degrees
