Answer:
3. The first equation can be multiplied by 3 and the second equation by 2.
Step-by-step explanation:
2 x + 3 y = 25 (1)
-3 x + 4 y = 22 (2)
Multiply equation (1) by 3 and (2) by 2.
3(2x) = 6x
2(-3x) = -6x
When you add the two equations, x will get cancelled last
(x^2 +3)(5x+9)
5x^3 + 9x^2 + 15x + 27
Answer:
See description.
Step-by-step explanation:
Any graph where the two lines intersect at (-3/2, 0) will be the correct graph.
Here is an attached example.
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
- translation (aka shifting)
- rotation
- reflection
Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
Given, arc QR is congruent to arc LN and arc OP is congruent to arc VW.
And the expressions for each arc in the diagram also given as:
Arc QR = 2x - y, arc LN = 11 , arc OP= 10 and arc VW=5x+y.
Hence, we will get the system of equations as following:
Arc QR = Arc LN
2x - y = 11 ...(1)
Arc OP = Arc VW
5x + y = 10 ...(2)
We need to find the value of x. So, we can add the equations to eliminate y so that we can solve the equations for x. Therefore,
2x+5x = 11 + 10
7x = 21
Divide each sides by 7.
So, x= 3