Answer:
add 1 hundred because you put a 1 instead of a 2
but the answer is 5 tens
1) 4, because 4/5 is closer to 4 than it is 3 1/2.
2) 100
3) 5
Answer:
false
Step-by-step explanation:
standard form cannot contain fractions or decimals
(a) Using the completing the square method, we need to write into the form of where , so
Expand to find the value of c
Notice that we get back the first two terms, the and the .We need to get rid of the last term of '9' as the term was not in the original form. The final form will look like
Hence,
(b)
(c) , square root both sides plus and minus of 2 Hence
Answer:
![\frac{7}{\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B%5Csqrt%7B3%7D%7D)
Step-by-step explanation:
The shortest distance d, of a point (a, b, c) from a plane mx + ny + tz = r is given by:
--------------------(i)
From the question,
the point is (5, 0, -6)
the plane is x + y + z = 6
Therefore,
a = 5
b = 0
c = -6
m = 1
n = 1
t = 1
r = 6
Substitute these values into equation (i) as follows;
![d = |\frac{((1*5) + (1*0) + (1 * (-6)) - 6)}{\sqrt{1^2 + 1^2 + 1^2}} |](https://tex.z-dn.net/?f=d%20%3D%20%7C%5Cfrac%7B%28%281%2A5%29%20%2B%20%281%2A0%29%20%2B%20%281%20%2A%20%28-6%29%29%20-%206%29%7D%7B%5Csqrt%7B1%5E2%20%2B%201%5E2%20%2B%201%5E2%7D%7D%20%7C)
![d = |\frac{((5) + (0) + (-6) - 6)}{\sqrt{1 + 1 + 1}} |](https://tex.z-dn.net/?f=d%20%3D%20%7C%5Cfrac%7B%28%285%29%20%2B%20%280%29%20%2B%20%28-6%29%20-%206%29%7D%7B%5Csqrt%7B1%20%2B%201%20%2B%201%7D%7D%20%7C)
![d = |\frac{(-7)}{\sqrt{3}} |](https://tex.z-dn.net/?f=d%20%3D%20%7C%5Cfrac%7B%28-7%29%7D%7B%5Csqrt%7B3%7D%7D%20%7C)
![d = \frac{7}{\sqrt{3}}](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B7%7D%7B%5Csqrt%7B3%7D%7D)
Therefore, the shortest distance from the point to the plane is ![d = \frac{7}{\sqrt{3}}](https://tex.z-dn.net/?f=d%20%3D%20%5Cfrac%7B7%7D%7B%5Csqrt%7B3%7D%7D)