One end of a line segment has the coordinates (1, 3). If themiddle point is (5,8), then what are the coordinates of the
other endpoint?
A (3,5.5)
B (9, 12)
C (12,5)
D (9, 13)
Answers
Answer:
the answer is the letter D
Final answer:
By rearranging the midpoint formula, it can be determined that the other endpoint of the line segment is (9, 13) (option D) when one endpoint is (1,3) and the midpoint is (5,8).
Explanation:
This question relates to coordinate geometry, a branch of mathematics. In coordinate geometry, the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is determined by the mean of the x-coordinates and y-coordinates, meaning the midpoint (xm, ym) is given by ((x1+x2)/2, (y1+y2)/2). If you have one endpoint ((x1, y1) which is (1,3) in this case) and the midpoint (xm, ym which is (5,8) in this question), you can solve for the unknown endpoint (x2, y2) by rearranging the midpoint formula to x2 = 2*xm - x1 and y2 = 2*ym - y1. Substituting the given coordinates into the formulas, we find that x2 = 2*5 - 1 = 9 and y2 = 2*8 - 3 = 13. Therefore, the other endpoint of the line segment is (9,13), hence option D is the correct answer.
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Answers
Answer: The correct option is (B) 0.
Step-by-step explanation: We are given the following two functions :
We are to find the value of f(g(6)).
To find the required value, first we need to find the value of f(g(x)).
We have
Therefore, we get
Thus, the required value of f(g(x)) is 0.
Option (B) is CORRECT.
Answers
The tenth amendment reserved some powers to the states because the The framers believed in the principle of federalism.
The concept of federalism is a political term that describes the power of states or provinces to share power with the national government or the central government.
The 10th amendment agrees to federalism by providing that all powers that were not given to the federal government by the constitution, belongs to the states or the people.
Read more on brainly.com/question/12623993?referrer=searchResults
Answer:
The farmers believed in the principal of federalism
Step-by-step explanation:
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Answers
Answer:
The relationship symbol that makes the statement true is '>'.
Step-by-step explanation:
Given,
In triangles ABC and EDF,
∠A = ∠D
Since, the sum of all interior angles of a triangle is supplementary,
⇒ ∠A + ∠B + ∠C = 180° and ∠D + ∠E + ∠F = 180°
⇒ ∠A = 180° - ∠B - ∠C and ∠D = 180° - ∠E - ∠F,
By substituting the values,
180° - ∠B - ∠C = 180° - ∠E - ∠F
- ∠B - ∠C = - ∠E - ∠F
∠B + ∠C = ∠E + ∠F
∠B + 20° = ∠E + 30° ( given ∠C = 20° and ∠F = 30° )
∠B = ∠E + 10°
⇒∠B > ∠E
Hence, the relationship symbol that makes the statement true would be '>'.
Answers
Hallo! :D
In the last problem you asked and I answered, it had said that if we had a math problem with two variables, and we only solve for one, the other will end up in our answer.
Step 1) Add -3x to both sides.
Step 2) Divide both sides by 6.
Final Answer -
Hope this helps! :D
Answers
hope it helps