Answer:
Let's call the length of the field "l", and the width of the field "w".
If the area of the field is 72 square meters, then we have:
l x w = 72
And if the length is 6 meters longer than the width, we have:
l = w+6
So looking at the first equation (l x w = 72), we can substitute the l for a w+6.
And we obtain:
(w+6) x (w) = 72
Which simplifies to w^2 + 6w = 72.
This quadratic equation is pretty easy to solve, you just need to factor it.
w^2 + 6w - 72 = 0
(w-6)(w+12)
This leaves the roots of the quadratic equation to be 6 and -12, but in this case, a width of -12 wouldn't make sense.
So, the width of the rectangular field is 6, and the length of the field is 12.
Let me know if this helps!
The Prime Factorization is:
2 x 3 x 17 x 23
In Exponential Form:
21 x 31 x 171 x 231
CSV Format:
2, 3, 17, 23
Prime Factors Tree
2346
/ \
2 1173
/ \
3 391
/ \
17 23
The value of function f(x) at x = 7 is f(7) = 28
For given question,
we have been given the value of function f(x) at x = 5.
f(5) = 12
We have been given that f'(x) is continuous on 5 and 7
Also, 
We need to find the value of f(7)
Since ∀x, f'(x) = f'(x), f is a primitive function of f' .
And f ' is continuous
![\Rightarrow \int\limits^7_5 {f(x)} \, dx =16\\\\\Rightarrow [f(x)]_5^7=16](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cint%5Climits%5E7_5%20%7Bf%28x%29%7D%20%5C%2C%20dx%20%3D16%5C%5C%5C%5C%5CRightarrow%20%5Bf%28x%29%5D_5%5E7%3D16)
⇒ [f(7) - f(5)] = 16
⇒ f(7) - 12 = 16
⇒ f(7) = 16 + 12
⇒ f(7) = 28
Therefore, the value of function f(x) at x = 7 is f(7) = 28
Learn more about the function here:
brainly.com/question/19508092
#SPJ4
Let us draw a triangle ABC with A=15° ,B=113° and b=7.
Please see the attached image.
We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have
Apply Sine rule in the triangle ABC, we get
Therefore, we have
The answer is 4
so you just have to find the cubed root of 64 not the squared root the cubes root of 64 is 4 , positive for because 4*4*4=64, -4*-4*-4=-64
