Let's assume that you are to graph the inequality.
1. Graph -3x + 4y = 12. Note that the x-intercept is (-4,0) and the y-intercept is (0,3). Use a dashed line, not a solid line, due to the ">" sign.
2. Choose a test point (e. g., (0,1) ) and subst. these coordinates into -3x + 4y = 12. Is the equation then true or false? If true, shade the area (on one side of -3x + 4y = 12 or the other) in which the test point (0,1) lies. If false, shade the other side of -3x + 4y = 12.
Answer:
follow step by step to get answer
Step-by-step explanation:
take 40 and multiply it by 0.08 then add that number to 40 and you get your answer.
Step-by-step explanation:
- 5×13= 65
- 3×16=48
- 65+48=113
Answer:
1 student.
Step-by-step explanation:
No of students that like Reasoning = 129 - (85-54) - (89-54)
= 63
No of students that like Reasoning only = 63-54
= 9
No of students that like Calculus = 129 - (86-54) - (89-54)
= 62
No of students that like Calculus only = 62-54
= 8
No of students that like Algebra = 129 - (86-54) - (85-54)
= 66
No of students that like Algebra only = 66-54
= 12
No of students that like Algebra and Resoning only = (85-54)
= 31
No of students that like Algebra and Calculus only = (86-54)
= 32
No of students that like Reasoning and Calculus only =(89-54)
= 35
Total students = 182
Total students offering at least one module + total students offering none = Total students
182 = 9 + 8 + 12 + 31 + 32 + 35 + 54 + X
X = 182 - 181
= 1 student.
Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
