Answer:
(nearest tenth)
Step-by-step explanation:
Given the distance formula, 
, distance between (-4, 5) and (4, 0) is calculated as follows:
Let 
(nearest tenth)
Answer:
4x²√4√6√x⁶√x
Step-by-step explanation:
4x²√(24x⁷)
The above expression can be simplified as follow:
4x²√(24x⁷)
Recall
√(MN) = √M × √N = √M√N
Thus,
4x²√(24x⁷) = 4x²√24√x⁷
But:
√24 = √(4×6) = √4√6
√x⁷ = √x⁶√x
Thus,
4x²√24√x⁷ = 4x²√4√6√x⁶√x
Therefore,
4x²√(24x⁷) = 4x²√4√6√x⁶√x
The answer should be the last one D
For this case we have that by definition, the equation of a line in the slope-intercept form is given by:
Where:
m: Is the slope
b: Is the cut-off point with the y axis
We have the following equation:
We manipulate algebraically:
We subtract 10 from both sides of the equation:
We subtract 3x from both sides of the equation:
We multiply by -1 on both sides of the equation:
We divide between 5 on both sides of the equation:
Thus, the equation in the slope-intercept form is 
Answer:
Usually, we use the number line to solve inequalities with the symbols,
<
,
≤
,
>
, and
≥
.(the second and last one was rather hard to find on my keyboard) In order to solve an inequality using the number line, though, just turn
the inequality sign to an equal sign. Then, solve the equation. Next step,
graph the point on the number line (remember to graph as an open circle if the
original inequality was <, or >). The number line should now be
divided into 2 regions, one to the left of the graphed point, and one to the
right of said point.
After that, pick a point in both regions and "test" it, check to see if it satisfies
the inequality when plugged in for the variable. If it does, draw a darker line from the point into that region, with an
arrow at the end. That is the solution to the equation: if one
point in the region satisfies the inequality, the entire region will
satisfy the inequality.
I had to check back in an old textbook to remember all of that. Sorry about the earlier answer. That was rather foolish to do so without actually understanding the question.
