Answer:
17.9 units is the answer
Step-by-step explanation:
points are (-7,-2) and (9,6)
Pythagorean theorem can be written as,
![d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{9-(-7))^2 + (6-(-2))^2}\\\\d=\sqrt{(16)^2+(8)^2} \\\\d=\sqrt{256+64} \\\\d=\sqrt{320} \\\\d=17.88](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%20%2B%20%28y_2-y_1%29%5E2%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B9-%28-7%29%29%5E2%20%2B%20%286-%28-2%29%29%5E2%7D%5C%5C%5C%5Cd%3D%5Csqrt%7B%2816%29%5E2%2B%288%29%5E2%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B256%2B64%7D%20%5C%5C%5C%5Cd%3D%5Csqrt%7B320%7D%20%5C%5C%5C%5Cd%3D17.88)
Rounding off,
d = 17.9 units
Answer:
![n](https://tex.z-dn.net/?f=n%3C%5Cfrac%7B29%7D%7B9%7D%5C%5Cn%3C3.222222.....%5C%5C)
n ≈ 3
Step-by-step explanation:
9n-2<7+20
![9n-2](https://tex.z-dn.net/?f=9n-2%3C27%20%5Cleftarrow%20%5Ctext%20%7BCombine%20Like%20Terms%7D%5C%5C9n-2%2B2%3C27%2B2%20%5Cleftarrow%20%5Ctext%20%7BAddition%20Property%20of%20Equality%7D%5C%5C9n%3C29%5C%5C%5Cfrac%7B9n%3C29%7D%7B9%7D%20%5Cleftarrow%20%5Ctext%20%7BDivsion%20Property%20of%20Equality%7D%5C%5C%5Cboxed%7Bn%3C%5Cfrac%7B29%7D%7B9%7D%7D)
Answer:
y^3/(27 x^3)
Step-by-step explanation:
Simplify the following:
((3 x)/y)^(-3)
((3 x)/y)^(-3) = (y/(3 x))^3:
(y/(3 x))^3
Multiply each exponent in y/(3 x) by 3:
(y^3)/((3 x)^3)
Multiply each exponent in 3 x by 3:
y^3/(3^3 x^3)
3^3 = 3×3^2:
y^3/(3×3^2 x^3)
3^2 = 9:
y^3/(3×9 x^3)
3×9 = 27:
Answer: y^3/(27 x^3)
Answer:
what is plato edmentum
Step-by-step explanation:
Answer:- 2
Step-by-step explanation: