<span>The data value must be less than the mean.</span>
15. MP(5,11) S(3,5) M(x,y)
(3+x)/2 = 5 x=7
(5+y)/2 =-11 y=-27
M(7,-27) is the other point
Answer:
79
Step-by-step explanation:
60<xy<100
y -2 =x
if it is prime
y cannot be even
so y could be 1,3,5,7,9
x would then be 9,1,3,5,7
but to be between 60 and 100
x must be 7 or 9
so the number must be 79 or 57
57 is not prime so
the number is 79
Exact form: 3336711069/389
Decimal form: 8577663.42 (rounded)
Mixed number form: 8577663 & 162/389
Answer:
The length of the rectangular field is 12 ft and the width is 5 ft.
Step-by-step explanation:
The area of a rectangle is:
![\text{Area} = \text{length}\times \text{width}](https://tex.z-dn.net/?f=%5Ctext%7BArea%7D%20%3D%20%5Ctext%7Blength%7D%5Ctimes%20%5Ctext%7Bwidth%7D)
The area of a rectangular field is, <em>A</em> = 60 ft.
The length of the field is:
l = w + 7
Compute the width of the field as follows:
![\text{Area} = \text{length}\times \text{width}](https://tex.z-dn.net/?f=%5Ctext%7BArea%7D%20%3D%20%5Ctext%7Blength%7D%5Ctimes%20%5Ctext%7Bwidth%7D)
![60=(w+7)\times w\\\\60=w^{2}+7w\\\\w^{2}+7w-60=0\\](https://tex.z-dn.net/?f=60%3D%28w%2B7%29%5Ctimes%20w%5C%5C%5C%5C60%3Dw%5E%7B2%7D%2B7w%5C%5C%5C%5Cw%5E%7B2%7D%2B7w-60%3D0%5C%5C)
Factorize the last equation by splitting the middle term as follows:
![w^{2}+7w-60=0\\w^{2}+12w-5w-60=0\\w(w+12)-5(w+12)=0\\(w-5)(w+12)=0](https://tex.z-dn.net/?f=w%5E%7B2%7D%2B7w-60%3D0%5C%5Cw%5E%7B2%7D%2B12w-5w-60%3D0%5C%5Cw%28w%2B12%29-5%28w%2B12%29%3D0%5C%5C%28w-5%29%28w%2B12%29%3D0)
Now, since the width of rectangular field cannot be negative, the width is 5 ft.
Compute the length as follows:
l = w + 7
= 5 + 7
= 12
The length of the rectangular field is 12 ft.