Answer:
Step-by-step explanation:
Parallel line is -2
perpendicular line is 1/2
l=51
m=78
n=51
n and l have the same value since it’s an isosceles triangle, so that’s why I doubled 4x-9
I'm just going to give you a very quick answer, but I can answer the question
1 foot = 12 inches.
x feet = 60 inches.
1 foot * 60 inches = 12 * x divide by 12
60 / 12 = 5
So the person is at least 5 feet tall. The height you want is 5 feet 4 inches.
So add 4 inches to 5 feet.
or
Add 4 inches to 60 inches.
you get 64 inches.
There are 20 entries all together. 2 people are 64 inches tall.
P(64) = 2/20 = 1/10 = 0.1
Answer P(64) = 0.1
I would check all of this if I were you. I'm not sure I counted either one correctly.
Answer:
x=7, so the smaller number is 7 and the larger number is 21.
Step-by-step explanation:
x=3x+5=33
Let x=3:
(3)+3(3)+5=3+9+5=17, not 33, so x is not 3
Let x=5:
(5)+3(5)+5=5+15+5=25, not 33, so x is not 5
Let x=7:
(7)+3(7)+5=7+21+5=33, so x=7
Let x=9:
(9)+3(9)+5=9+27+5=41, not 33, so x is not 9
Therefore x=7. Because x represents the smaller number, and the larger number is 3 times the smaller number, the smaller number is 7 and the larger number is 3(7)=21.
If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides 
and 
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.
The derivative of this function is
and it equals zero if and only if
If we evaluate the volume function at these points, we have
So, the maximum volume is given if you cut a square with side length
