3.5/5.0 =_____/15.0 How to solve this ?
1 answer:
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A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
Answer:
The point of intersection of the system of equations is:
(x, y) = (-2, 1)
The correct system of equations intersect at point A in this graph will be:
Thus, the second option is correct.
Step-by-step explanation:
Given the point
- A (-2, 1)
Let us check the system of equations to determine whether it intersect at point A in this graph.
Given the system of equations
Arrange equation variable for elimination
so
so the system of equations becomes
Solve 7x = -14 for x
Divide both sides by 7
Simplify
For y - 4x = 9 plug in x = 2
Subtract 8 from both sides
Simplify
y = 1
Thus, the solution to the system of equations is:
(x, y) = (-2, 1)
From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.
In other words, the point of intersection of the system of equations is:
(x, y) = (-2, 1)
Therefore, the correct system of equations intersect at point A in this graph will be:
Thus, the second option is correct.
