Answer:
y = -3/2x + 6
Step-by-step explanation:
We won't be able to figure out Y in number form, since we have a second variable, but we can figure it out in terms of X.
First, we have to subtract 6x from both sides
( -4y = -6x + 24 )
Then we have to divide both sides by -4
( y = -3/2x + 6 )
This is our final answer in terms of x
30,000,000 + 7,000,000 + 100,000 + 20,000 + 3,000 + 700 + 40 + 5
Answer: 25 in³
Step-by-step explanation:
We can calculate the volume of the pyramid by first calculating the volume of a prism with the same dimensions, and then dividing by 3 (all pyramids a volume that's of the volume of a prism with the same dimensions).
The volume of a prism is its base area times its height. The base would be a square, so its area is 5², which is 25. The height is 3 inches, making the prism's volume 75 in³.
The volume of the pyramid would be one-third of this value, which is 75 which is 25 in³.
The compound inequality to show the possible length of the third side is; 25 ≤ x +9+12≤ 30 and it's solution is; 4 ≤ x ≤ 9.
<h3>What is the compound inequality to represent the situation?</h3>
The required compound inequality as described in the task content in terms of the sum of all three sides is;
25 ≤ x +9+12≤ 30
25 -9 -12 ≤ x; 4 ≤ x.
x +9+12≤ 30
x ≤ 30 -9 -12
x ≤ 9
The compound solution is therefore; 4 ≤ x ≤ 9.
Read more on compound inequality;
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Answer:
The lines are perpendicular
Step-by-step explanation:
we have
isolate the variable y
----> equation A
The slope of the line A is
-----> equation B
The slope of the line B is
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
In this problem
The slopes of line A and line B are opposite reciprocal
therefore
The lines are perpendicular