Answer:
A
Step-by-step explanation:
to solve absolute value inequalities you must solve it for when the absolute value is positive and then when it is negative
example, |4| = 4 and -4
first solution will be when we're solving for the positive value:
+(-4x+7) ≥ 27
-4x + 7 ≥ 27
-4x ≥ 20
x ≤ -5 [reverse the symbol when mult or div by a negative]
-(-4x+7) ≥ 27
4x - 7 ≥ 27
4x ≥ 34
x ≥ 34/4 or x ≥ 8 1/2
solution: x ≤ -5 or x ≥ 8.5
Answer:
1/ 6
Step-by-step explanation:
Therefore, the required probability is 1/6.
Y= 1/2x+7
-2 6
-1 6.5
0 7
1 7.5
2 8
I think the equation is linear.
Hope this helped☺☺
Answer:
Step-by-step explanation:
GH : √(8-4)^2 + (2-5)^2 = √16+9 = √25 = 5
HI : √(-6-2)^2 + (2-8)^2 = √64+36 = √100 = 10
IJ : √(-2-2)^2 + (-3+6)^2 = √16 + 9 = √25 = 5
JH : √(-2-4)^2 + (-3-5)^2 = √36 + 64 = √100 = 10
Slope of the line that contains GH
(2-5)/(8-4) = -3/4
Slope of the line that contains HI
(-6-2) / (2-8) = 8/6 = 4/3
I calculated the distance between points. Thanks to that I noticed that the opposite sides are congruent, so the quadrilateral can be a rectangle or a parallelogram. So I found the slope of the lines that contain two consecutive sides and I discovered that are perpendicular. So the quadrilateral is a rectangle because its angles are all of 90 degrees
For (11, 1): (11 + 3)1 = 14(1) = 14
For (5, 2): (5 + 3)2 = 8(2) = 16 ≠ 14
For (7, 2): (7 + 3)2 = 10(2) = 20 ≠ 14
For (3, 2): (3 + 3)2 = 6(2) = 12 ≠ 14
Therefore, (11, 1) is a solution to this equation.
