Answer:
128.06
Step-by-step explanation:
think about the diagonal of the field, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (80, and 100) and now we have to solve for the hypotenuse (or the diagonal). so use pythagorean theorem :
80^2 + 100^2 = c^2
16400 = c^2
c = 128.06
Hello,
Answer C
Be carefull
A: is (gof)(x)=g(f(x))=g(x^8)=6x^8-14
C: fog(x)=f((g(x))=f(6x-14)=(6x-14)^8
Answer:
round
Step-by-step explanation:
Answer:
![R(x,y) = (0.8,-1.2)](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%280.8%2C-1.2%29)
Step-by-step explanation:
The coordinates of QS are:
![Q(x_1,y_1) = (-2,-6)](https://tex.z-dn.net/?f=Q%28x_1%2Cy_1%29%20%3D%20%28-2%2C-6%29)
![S(x_2,y_2) = (5,6)](https://tex.z-dn.net/?f=S%28x_2%2Cy_2%29%20%3D%20%285%2C6%29)
The ratio is represented as:
![R_{m:n} = 2:3](https://tex.z-dn.net/?f=R_%7Bm%3An%7D%20%3D%202%3A3)
Required
Find the coordinates of R
The coordinates of R is calculated by:
![R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%20%2B%20ny_1%7D%7Bm%2Bn%7D%29)
Substitute values for m, n, x's and y's
![R(x,y) = (\frac{2 * 5 + 3 * -2}{2+3},\frac{2*6 + 3*-6}{2+3})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7B2%20%2A%205%20%2B%203%20%2A%20-2%7D%7B2%2B3%7D%2C%5Cfrac%7B2%2A6%20%2B%203%2A-6%7D%7B2%2B3%7D%29)
![R(x,y) = (\frac{4}{5},\frac{-6}{5})](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%28%5Cfrac%7B4%7D%7B5%7D%2C%5Cfrac%7B-6%7D%7B5%7D%29)
![R(x,y) = (0.8,-1.2)](https://tex.z-dn.net/?f=R%28x%2Cy%29%20%3D%20%280.8%2C-1.2%29)
<em>None of the options is correct</em>
Answer:
d
Step-by-step explanation:
A. 2x + 3y = −6
B. 3x − 2y = 6
C. 3x − 2y = 12
D. 2x − 3y = 18