The first thing to do is find the slope of the given line m = (y2-y1)/(x2-x1). We need to find the slope because it is required to find the slope of the perpendicular line.
m = (-7-5)/(5+11) = -12/16 = -3/4
Now we find the midpoint of the line, this is where the perpendicular bisector be. Using the Midpoint equation
M=((x1+x2)/2,(y1+y2)/2)
M=((-11+5)/2, (5-7)/2)
M=(-6/2, -2/2)
M=(-3,-1)
Now that we have the slope and midpoint we can find the perpendicular bisector. A line is perpendicular to another if, when you multiply their slopes together they equal -1. To do this we simply invert the numerator and denominator of our current slope and flip the sign from negative to positive.
So, -3/4 becomes positive 4/3 for our new line. So for our perpendicular line we now know two things, the slope and a point on it (the bisector point). To find the equation of the line we need to plug the known point and slope into the equation y = mx + b and solve for b.
-1 = 4/3(-3) + b
-1 = -4 + b
b = -1 + 4
b = 3
Now we can build our equation for our perpendicular line
y = 4/3x + 3
To answer this we will DIVIDE the amount of baskets by 4 (since it is 1/4) to see how many she has ALREADY packed, and ho many she has left. Lets do it:-
128 ÷ 4 = 32
CHECK OUR WORK:-
32 × 4 = 128.
So, she has done 32 baskets. lets see how many more she needs to pack:-
128 - 32 = 96.
So, Shelia has 96 baskets LEFT to pack,
Hope I helped ya!!
Probability works for any given number, so we will assume there are 100 students. Of those 100, 85 of them studied. Since 75% of 85 students passed, we will multiply 85 by 0.75. This gives us 60. So of the students who studied, 60 of them passed. Of the 15 students that didn’t study, 30 percent passed. So we multiply 15 by 0.3. This gives us 4.5 students. Add up 60 and 4.5, and you get 64.5. The probability of passing is 64.5%. If you want to round up, it would be 65%. If you want to round down, it would be 64%. But the most precise answer is 64.5%.
H) 58.48 - Instruments
I) 8.46 - Are
J) .38 - Difficult
L) 7.07 - Play
N) 22.222 - Others
O) 36.3 - Are
P) 0.18 - Cymbal
Answer:
is there like a picture of the question?