Answer:
Detailed solution:
Given:
The problem to solve is:
Convert the equation into the standard quadratic form 
, where 
represent constants.
So, by adding 
to both sides, we get:
Note that 
.
The roots of this quadratic are found by applying the quadratic formula given as:
Substitute into the formula and calculate for 
.
Hence, the roots are:
Answer: 13
I made an error on the question, and it provided the right answer. Thank me later.
2x − y = −4 → 10x − 5y = −20
3x + 5y = 59 → 3x + 5y = 59
13x = 39..... this is derived from adding the two equations on the right.
13x = 39 can be used in place of 3x + 5y = 59 in the initial system and will yield the same result.
The complete question reads:
Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements
might accurately describe Peter's drawing?
I. AC and AP are parallel.
II. PAC represents an angle.
III. AC and AP are at right angles.
A. I and II
B. II and III
C. I and III
D. I, II, and III
Answer:
Option B: II & III
Step-by-step explanation:
We know Peter has drawn rays AC and AP.
Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.
This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.
Thus, the valid statements that characterize his drawing are: II & III.
