To answer what the midpoint of AB is simply replace the values in the formula to find the coordinates of the midpoint.
In this case these are (2 + 4) / 2 = 3 and (6 + 18) / 2 = 12. So (xM, yM) = (3, 12) is the midpoint of the segment defined by A and B.
"inversely proportional," please.
z = k/x
When x is 3, z = 6; find k: 6 = k/3, or k = 18.
Then z = 18/x. When x = 12, z = 18/12 = 2/3 (answer)
Answer:
m∠D = 32°
Step-by-step explanation:
From the figure attached,
In ΔABE,
By the property of a triangle,
m∠AEB + m∠ABE + m∠AEB = 180°
14° + 45° + m∠AEB = 180°
m∠AEB = 180° - 59°
m∠AEB = 121°
Since, m∠AEB = m∠CED = 121° [Vertical angles]
Similarly, in triangle CDE,
m∠ECD + m∠CED + m∠EDC = 180°
27 + 121 + m∠CDE = 180
m∠CDE = 180 - 148
m∠D = 32°
Answer: A! x=-1 2/5, y= 1 3/5
Step-by-step explanation:
First put -3x+3y=9 into slope-intercept form(y=mx+b)
3y=-3x+9
then solve for y
y=-1x+3
enter your y-intercept into the equation below..
2x-7(-1x+3)=-14
2x+7x-21=-14
2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)
2x-7x=7
-5x=7 divide -5 into 7
7/5
x=-1 and 2/5
then input x back into the first equation
-3(7/-5)+3y=9
21/5+3y=9
3y=9-21/5
3y=24/5
divide 3 into 24/5
=24/15=1 and 9/15 reduce it anddd
y=1 and 3/5
A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468
B. P(1st choice) = no of novels / total books = 3/6 = 1/2
P(2nd choice) = no of remaining novels/ total remaining books = 2/5
P(both novels) = 1/2 * 2/5 = 1/5 (without replacement assumed)
C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
P(2nd choice) = no of remaining biographies/ total remaining books = 1/5
P(both biographies) = 1/3 * 1/5 = 1/15 (without replacement assumed)
D. P(1st choice) = no of history books / total books = 1/6
P(2nd choice) = no of novels/ total remaining books = 3/5
P(a history, then a novel) = 1/6 * 3/5 = 1/10 (without replacement assumed)