First we need to find the slope of line k. Using the slope formula, we fill in accordingly:
. The slope is -3/2. The slope of a line that is perpendicular to line k will have the opposite sign (so, positive) and will be the reciprocal of the line k's slope (so, 2/3). You could also say, more "mathematically legal", that the product of the slopes of perpendicular lines is -1, but it's easier to just say that they are opposite reciprocals. The slope you're looking for is 2/3. Choice 3 above.
Let
C=Cynthia's age today
A=Abigail's age today
then
at all times
A=C+8......................(1)
twenty years ago,
A-20=3(C-20)
simplifying
A=3C-40...................(2)
Equate (1) and (2),
C+8=3C-40
8+40=3C-C
C=24
=>
A=32
Check: A-C=8... ok A-20=12 C-20=4 => (A-20)=3(C-20) ...ok
Answer:
Abigail is 32, Cynthia is 24.
Answer:
54.872
Step-by-step explanation:
volume of a cube = s³
where s = side length
side length given here is 3.8
so volume = 3.8³ = 54.872
Replace a and b in the equation with their values given:
-0.5(7(-6)-12(-10)-(8.4(-10)-14(-6))
Multiply within the parentheses
-0.5(-42 + 120) -(-84 + 84)
Add inside the parenthesis:
-0.5(78)-0
Multiply:
-.05 x 78 = -39
The answer is -39
Answer:
B - 18
Step-by-step explanation:
Area of a right triangle
1/2 * b * h
1/2 * 9 * 4
1/2 * 36
18
