Answer:
HJ
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
so
The slope of the line that is parallel to a line that has a slope of 3 is equal to 3
Verify the slope of the blue and red line , because their slopes are positive
<em>Blue line</em>
we have
C(-3,0),D(3,2)
The slope m is equal to
m=(2-0)/(3+3)
m=2/6
m=1/3
<em>Red line</em>
we have
H(-1,-4),J(1,2)
The slope m is equal to
m=(2+4)/(1+1)
m=6/2
m=3
therefore
The answer is the red line HJ
The line from the point to its reflection should be perpendicular.If we imagine a line from (5,7) to (2,2), it would have a slope of (2-7)/(2-5) = 5/3.
For that line to be perpendicular to y=-2/5x+6, their slopes should be each other's negative reciprocals.
-2/5 negative reciprocal is 5/2, which is not equal to our calculated 5/3, so (2,2) cannot be the reflected point. Evan was wrong.
Q1-74: AB have slope 6/5, C has -5/6, D 6/5, E -5/6 again.
1. The answer is D. a balance of power between the branches of Government
The separation of power separates government into executive, Judiciary, and Legislative with each of their own responsibilities.
This being done in order to prevent the government from becoming too powerful and transform into tyranny.
2. The answer is B. To decide if cases heard by lower courts were tried appropriately
The court of appeal will bring the case into higher court if either party are not satisfied with the result of the court. But the Decision that made by the Supreme courts are final
3. the answer is B. By overriding a Veto
Congress has the right to reverse the deicision if they managed to make mor than 2/3 of the Congress' member to agree. In this case, the president will be forced to change the decision even after using the veto right
4. The answer is B. Declaring war in war on another country
Declaring war on another country could only be done by Congress or The President. (In the Government, The president acted as the head of the executive branch of the Government)
5. The answer is C. Reserved Powers
Reserved powers allow the states to regulate several aspects of Government operations such as handling marriage, imposing states law, proposing a plan for infrastructure construction, etc
