A triangle undergoes a sequence of transformations.
First, the triangle is dilated by a scale factor of 1/3 about the origin. Then the triangle is reflected over the x-axis. Finally, the triangle is translated left 3 units and up 2 units.
Answer:
D
Step-by-step explanation:
Passes through the x-axis at r and k
Answer:
X = 8
Step-by-step explanation:
The given parameter are;
The length of the segments of the chords are;
Lengths of segments in Chord 1; 5, and X
Lengths of segments in Chord 2; 4, and 10
According to the Intersecting Chords Theorem, where we have two intersecting chords or secants, then, the result of multiplying the segments of one chord is equal to the result obtained from multiplying the segments of the other chord, therefore according to the theorem, we have;
5 × X = 4 × 10
∴ X = 4 × 10/5 = 8
X = 8.
Answer:
There are infinite solutions that solve the system
Step-by-step explanation:
- The solution can be expressed as
(there are infinite solutions that solve the system). This results from rearranging terms in the first or second equation.
- This is because the first equation is a linear combination of the second one (this is, the first equation equals (-1) times the second equation). This means that the second equation does not add any information about x and y: it says exactly the same as the first equation about the relationship between x and y.
- Then, in terms of solving the system, you have one unique expression (not repeated) that shows the relationship between y and x. This means that, any pair of (x,y) that meet the requirements expressed by
, will solve the system. Then we have infinite solutions.