Answer:
4(7+4)
Step-by-step explanation:
4×7=28
4×4=16
28+16
The numbers are {10, 11, 12, ... , 23, 24}.
Can we divide 11 by 1? yes. can we divide the other digit of 11 by 1? yes. Thus, 11 satisfies the criterion "they are divisible by each of their digits."
What about 12: is 12 divisible by 1? YES. Is 12 divisible by 2? YES.
And so on.
Length=x
width=y
Perimeter of a rectangle=2(length)+2(width)
Therefore:
2x+2y=200
We simplify the equation dividend both sides of this equation by 2:
x+y=100
Then:
y=100-x
Area of a rectangle: length x width
We have the next inequation:
x(100-x)<900
100x-x²<900
x²-100x+900<0
We solve this inequation
1) we solve this equation:
x²-100x+900=0
x=[100⁺₋√(10000-3600)]/2=(100⁺₋80)/2
We have two solutions in this equation:
x₁=90
x₂=10
2)With these values, we make intervals:
(-∞,10)
(10,90)
(90,∞)
3)With these intervals, we check it out if the inequation works:
(-∞,10); for example; if x=0 ⇒ 0²-100(0)+900=100>0, this interval don´t work.
(10,90);f.e: if x=11; ⇒ 11²-100(11)+900=-79<0, this interval works.
(90,∞); fe; if x=91 ⇒91²-(100)91+900=81>0; this interval don´t work.
answer: the possible lengths would be the values inside of this interval:
(10,90) ft.
Answer: 3x^2 +120x
Good luck !
Answer:
3) (x-5)^2+y^2=36
Step-by-step explanation:
