Answer:
Step-by-step explanation:
solve each inequality:
A : x+6<8 , x<-8-6 , x<-14
B: x+4≥-6 , x≥-10
C: x-3>-10 , x>-7
D:x≤-9
since -12 is on the left side of the number line then x≤ -9 would be the solution
The answer i choose is $5.50 because i added $3.00 and $2.50. so thats how i got my answer
Answer:
12.
Step-by-step explanation:
First arrange in ascending order:
2 5 8 10 14 17 21
The median is 10.
the lower quartile is the middle number of 2 5 and 8 which is 5.
Similarly the upper quartile is 17.
IQR = 17 - 5 = 12.
4x - 3y - 7 = 0
-3y = -4x + 7
y = 4/3x - 7/3....slope here is 4/3
A. a parallel line will have the same slope
y = mx + b
slope(m) = 4/3
(-2,1)...x = -2 and y = 1
sub and find b, the y int
1 = 4/3(-2) + b
1 = -8/3 + b
1 + 8/3 = b
3/3 + 8/3 = b
11/3 = b
so ur parallel line is : y = 4/3x + 11/3
B. A perpendicular line will have a negative reciprocal slope. To get the negative reciprocal of a number, u flip the number and change the sign. So our perpendicular line will need a slope of -3/4
y = mx + b
slope(m) = -3/4
(-2,1)...x = -2 and y = 1
sub and find b, the y int
1 = -3/4(-2) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b
so ur perpendicular equation is : y = -3/4x - 1/2
Answer:
<em>The coordinates of P are (1,0)</em>
Step-by-step explanation:
<u>Midpoint</u>
The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:


We need to find the coordinates of P which is equidistant from the endpoints A=(-2,1) and B=(4,-1).
Calculate the midpoint:


Thus, the coordinates of P are (1,0)
Note the midpoint does not lie on the y-axis but on the x-axis.