Answer:
Answer. Answer: A system of linear equation has no solution when the graphs are parallel.Step-by-step explanation:
1. C(x, y) = (7.3, –3.9)
2. C(x, y) = (17, –1.5)
Solution:
Question 1:
Let the points are A(3, –5) and B(19, –1).
C is the point that on the segment AB in the fraction 
.
Point divides segment in the ratio formula:
Here, 
and m = 3, n = 8
C(x, y) = (7.3, –3.9)
Question 2:
Let the points are A(3, –5) and B(19, –1).
C is the point that on the segment AB in the fraction .
Point divides segment in the ratio formula:
Here, and m = 7, n = 1
C(x, y) = (17, –1.5)
Answer:
11, 14, 17, 20
Step-by-step explanation:
An arithmetic sequence has a common difference d between consecutive terms.
Consider 2, 6, 18, 54
6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic
Consider 3, 6, 12, 24
6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic
Consider 11, 14, 17, 20
14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic
Consider 7, 11, 13, 18
11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic
The arithmetic sequence is 11, 14, 17, 20
Answer:
x=3.33
Step-by-step explanation:
2x=x-10
2x+x=10
3x=10
x= 10/3
x= 3.33
A) Two parallel lines, intersecting a 3rd line (a traversal), indicates that two same-sided, internal angles MUST be SUPPLEMENTARY (sum, or add up to 180°).
b) Since <1 and <2 are supplementary, they add up to 180°. Therefore, <1 + <2 = 180:
(20x+5) + (24x-1) = 180
44x + 4 = 180
44x + 4 -4 = 180-4
44x = 176
44x/44 = 176/44
x = 4
