x -y = 1
5x + 3y = 45
Solve the first equation for x: x = y + 1
Substitute x in the second with y + 1
5x + 3y = 45
5(y + 1) + 3y = 45
5y + 5 + 3y = 45
8y + 5 = 45
8y = 40
y = 5
Substitute 5 for y in x = y + 1
x = y + 1
x = 5 + 1
x = 6
Answer: (6, 5)
Most likely you are expected to recognize that side lengths 2, 3, 5 will result in a "triangle" of zero area (looks like a line segment).
The appropriate choice is
(5, 3, 2)
_____
Some authors write the triangle inequality as a + b ≥ c for any assignment of a, b, c to side lengths. The "or equal to ..." allows the triangle to have zero area (looks like a line segment). Other authors insist the inequality not include the "or equal to" case. It looks like your text's author is in the latter camp.
Answer:
6 and 11
Step-by-step explanation:
n1 = n + 5
ns^2 = 3 + 3nb
6^2 = 3 + 3(11)
36 = 3 + 33
11 = 6 + 5
Answer:
1st term: 1, 2nd term: 3, 3rd term: 5, 4th term: 7 & 10th term: 19
Step-by-step explanation:
1st term: 2(1) - 1
2 - 1 = 1
2nd term: 2(2) - 1
4 - 1 = 3
3rd term: 2(3) - 1
6 - 1 = 5
4th term: 2(4) - 1
8 - 1 = 7
10th term: 2(10) -1
20 - 1 = 19
I subtract 2x to 8x that is equal to 6x; then I subtract 10 from right to left. So 94-10 equal 84. Now you got 6x=84, divide 6 both side and you got the answer.
The answer is x= 14
