Someone :) is there anyone know what is the answer?
1 answer:
Answer:
answers are below
Step-by-step explanation:
<u>a. -6 ≤ 3x < 15</u>
steps in order to solve:
-6 ≤ 3x
= -6/3 ≤ 3x/3
= -2 ≤ x
3x < 15
= 3x/3 < 15/3
= x < 5
=> -2 ≤ x < 5
<u>b. -3 < 2x - 1 < 7 </u>
steps in order to solve:
-3 < 2x - 1
= 1 - 3 < 2x - 1 + 1
= -2 < 2x
= -2/2 < 2x / 2
= -1 < x
2x - 1 < 7
= 2x - 1 + 1 < 7 + 1
= 2x < 8
= 2x/2 < 8/2
= x < 4
=> -1 < x < 4
<u>c. 7 < -3n + 1 ≤ 13</u>
steps in order to solve:
7 < -3n + 1
= -1 +7 < -3n + 1 - 1
= 6 < -3n
= 6/-3 < -3n/-3
= -2 > n
-3n + 1 ≤ 13
= -3n + 1 - 1 ≤ 13 -1
= -3n <u><</u> 12
= -3n/-3 <u><</u> 12/-3
= n <u>></u> -4
=> -4 <u><</u> n < -2
graphs are below.
hope this helps and is right :)
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Answer:
Numbering the options, we have;
1) Side B'A' has a slope of −1 and is perpendicular to side BA.
2) Side B'A' has a slope of 1 and is parallel to side BA.
3) Side B'A' has a slope of 1 and is perpendicular to side BA.
4) Side B'A' has a slope of −1 and is parallel to side BA.
The correct option is;
1) Side B'A' has a slope of -1 and is perpendicular to side BA
Step-by-step explanation:
The given coordinates are;
A(3, 5) B(1, 3), C(5, -1) and D(7, 1)
The slope of BA is found as follows;
Rotation of a line through 90 degrees gives
(x, y) will be (y, -x)
Therefore, the coordinates of A' = (5, -3)
The coordinates of B' = (3, -1)
Then the slope is given as follows;
Therefore side B'A' has a slope of -1 and is perpendicular to side BA.