Answer:
the equation of the perpendicular bisector of segment AB is y = -2x + 7
Step-by-step explanation:
Going from B(-1, 4) to A(3, 6), x increases by 4 and y increases by 2. Thus, the slope of this line is m = rise / run = 2/4, or 1/2.
Any line perpendicular to the one joining A and B has a slope which is the negative reciprocal of 1/2: that'd be -2.
3 - 1 6 + 4
The midpoint of line segment AB is ( --------- , ---------- ), or (1, 5)
2 2
Thus, the perpendicular bisector passes through the midpoint (1, 5) and has slope -2:
Starting from y = mx + b, we get 5 = -2(1) + b, or 7 = b, and so the equation of the perpendicular bisector of segment AB is
y = -2x + 7
Answer:
c, 48 cubic meters
Step-by-step explanation:
So 3/10 green and 1/5 blue. First, let's convert them into equal fractions. Now we have 3/10 and 2/10. When combined, it is 5/10. That means there is a 50% chance you will land on blue or green.
Answer:
1.) 6
2.) 6
3.) 0
4.) 0
5.) 0
Step-by-step explanation:
In mathematics, divisible means that when a number is divided by another number, the result is a whole number.
Answer: x =2
Step-by-step explanation:
5x - 8 = 3x - 4
2x = 4
x = 2
checking the work:
5(2) - 8 = 3(2) - 4
10 - 8 = 6 - 4
2 = 2