The equation is 
<u>Explanation:</u>
We have to first find the mid-point of the segment, the formula for which is
So, the midpoint will be 
= 
It is the point at which the segment will be bisected.
Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula 
The slope is 
= 
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of is 
To write an equation, substitute the values in y = mx + c
WHere,
y = -1
x = 3
m = 3/2
Solving for c:
Thus, the equation becomes:
Answer:
147 r17
Step-by-step explanation:
So subtract 2q from both sides.
This will cancel out the 2q on the left.
So the equation right now should be 10=5q.
Now divide each side by 5.
10/5=2
2=q.
That's the answer! Hope this helped!!
Answer:
8 hours
Step-by-step explanation:
5 - 1 = 4 grams
10% of 5 = 0.5 grams per hour
4/0.5 = 8 hours
Answer:
x > -99/4
Step-by-step explanation:
I must assume that you meant (-2/5)x -9<9/10.
This inequality has 3 terms. The LCD is 10. Multiply each term by 10 and reduce the result:
10(-2/5)x - 10(9) < 10(9/10), or:
-4x - 90 < 9
Adding 90 to both sides results in:
-4x < 99
Here we must divide by a negative number (that is, by -4). This requires reversing the direction of the inequality sign:
x > -99/4 is the final solution.
