Answer:
5√(10/x)
Step-by-step explanation:
√10^3/4x
= √10^3 / √4x
= 10√10 / 2√x
=(10/2)√(10/x)
= 5√(10/x)
We are given the equation:
0.6 x + 4.8 = 7.2
In this case, the multiplication property of equality states
that whatever is multiplied on one side should also be multiplied on the other
side. Now we need to find the number that will make everything a whole number,
in this case 5. Multiply everything by 5:
5 * (0.6 x + 4.8 = 7.2)
3 x + 24 = 36
However we can see that we can still further simplify the
equation by multiplying everything by 1/3:
(1/3) * (3 x + 24 = 36)
x + 8 = 12
or
x = 4
The line and parabola intersect at about x=-2 and x=1.5 so the solution is A. x = -2
If Ms. Callahan has 24 feet of fencing, and she is building a pen, the PERIMETER of the pen must be 24 feet. The perimeter is basically the distance around a figure. The perimeter of a rectangle is equal to length plus width plus length plus width, AKA l+w+l+w, or P=2l+2w. In a rectangle, two pairs of sides are of equal length--so the two lengths and the two widths must be equal.
So, the formula is P=2l+2w. P, the perimeter, is 24, so 24=2l+2w. Let's try some values for l and see what we get for w. If the length is 1, l=1. 24=(2*1)+2w. 24=2+2w. 22=2w. w=11. So if length is 1 foot, width is 11 feet.
What if l=2? 24=(2*2)+2w. 24=4+2w. 2w=20. w=10. If l=2, w=10. And l=3? 24=(2*3)+2w. 24=6+2w. 18=2w. w=9. If l=3, w=9. Do you see a pattern? Every time we add 1 to l, we subtract 1 from w. So if l=4, w=8. If l=5, w=7. If l=6, w=6. Here, we start getting similar answers: if l=7, w=5. If l=8, w=4. Since we already know these values work, it doesn't matter whether we call it length or width. So, our answers are below.
Answer: Ms Callahan can make a pen with a length of 1 foot and a width of 11 feet, a length of 2 feet and a width of 10 feet, a length of 3 feet and a width of 9 feet, a length of 4 feet and a width of 8 feet, a length of 5 feet and a width of 7 feet, or a length of 6 feet and a width of 6 feet.
Answer:
Hi
Step-by-step explanation:
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