Answer:
Lines stay parallel or overlap
Step-by-step explanation:
AB and CD are parallel lines
Rotation around a point 90 degrees clockwise will make these lines perpendicular to their initial position but AB and CD will still be parallel to each other
They will overlap if the distance between them and point E is equal
Their initial slope is same and equal to m
Their final slope will be -1/m as a result of 90 degrees rotation
Answer:
x=7 y=3
Step-by-step explanation:
-x+6y=11
2x-3y=5
-2x+12y=22
2x-3y=5
Add both equations
-2x+2x-3y+12=22+5
9y=27
y=3
plug y back in
-x+18=11
-x=-7
x=7
Answer:
I am not sure if I'm correct, but I got 16
Step-by-step explanation:
lets look at the formula for cylinder volume:
V=π*r^(2)*h
now, lets plug in 64
64=π*r^(2)*h
h=64/(π*r^(2))
Volume of glass cylinder is
V=((0.5r)^2)*(64/(π*r^(2)))*π
V=0.25π*r^(2)*(64/(π*r^(2)))
V=16π*r^(2)/(π*r^(2)
V=16
Answer:
12.04
Step-by-step explanation:
add 8 and 9 by the power of two: 8^2+9^2
that equals to 145
find the square root of 145 and that equals to 12.04
Answer:
$1,467.20
Step-by-step explanation:
Adjusted monthly income is the gross income minus any payments made every month. 5600 - 360 = 5240. To get 28% of her adjusted income multiply 5240 X.28 =1467.20
