Answer:
Step-by-step explanation:
Answer:
(x + 5)² + (y + 7)² = 288
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)
r =
=
= 
Hence
(x - (- 5))² + (y - (- 7))² = (
)², that is
(x + 5)² + (y + 7)² = 288
Answer:
Whichever reasoning processes and research methods were used, the final conclusion is critical, determining success or failure. If an otherwise excellent experiment is summarized by a weak conclusion, the results will not be taken seriously.
Success or failure is not a measure of whether a hypothesis is accepted or refuted, because both results still advance scientific knowledge.
Failure lies in poor experimental design, or flaws in the reasoning processes, which invalidate the results. As long as the research process is robust and well designed, then the findings are sound, and the process of drawing conclusions begins.Whichever reasoning processes and research methods were used, the final conclusion is critical, determining success or failure. If an otherwise excellent experiment is summarized by a weak conclusion, the results will not be taken seriously.
Success or failure is not a measure of whether a hypothesis is accepted or refuted, because both results still advance scientific knowledge.
Failure lies in poor experimental design, or flaws in the reasoning processes, which invalidate the results. As long as the research process is robust and well designed, then the findings are sound, and the process of drawing conclusions begins.
little info
Step-by-step explanation:
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Answer:
The midpoint of this line segment is (-1.5, -4.5).
Step-by-step explanation:
In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:
-2 -1
x-coordinate of midpoint = --------- = -3/2 = -1.5
2
-4 -5
y-coordinate of midpoint = ---------- = -4.5
2
The midpoint of this line segment is (-1.5, -4.5).