Answer:
<h3>The answer 4.2 units </h3>
Step-by-step explanation:
The distance between two points can be found by using the formula
![d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7Bx1%20-%20x2%7D%29%5E%7B2%7D%20%2B%20%20%28%7By1%20-%20y2%7D%29%5E%7B2%7D%20%20%7D%20%5C%5C)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
C(2,4) and D (5. 7)
We have
![|CD| = \sqrt{ ({2 - 5})^{2} + ({4 - 7})^{2} } \\ = \sqrt{ ({ - 3})^{2} + ( { - 3})^{2} } \\ = \sqrt{9 + 9} \\ = \sqrt{18} \: \: \: \: \: \\ = 3 \sqrt{2} \: \: \: \: \: \\ = 4.242640687...](https://tex.z-dn.net/?f=%20%7CCD%7C%20%20%3D%20%20%5Csqrt%7B%20%28%7B2%20-%205%7D%29%5E%7B2%7D%20%20%2B%20%20%28%7B4%20-%207%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%28%7B%20-%203%7D%29%5E%7B2%7D%20%20%2B%20%28%20%7B%20-%203%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B9%20%2B%209%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B18%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%5C%20%20%3D%203%20%5Csqrt%7B2%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5C%5C%20%20%3D%204.242640687...)
We have the final answer as
<h3>4.2 units to the nearest tenth</h3>
Hope this helps you
Answer:
3x + 2
Step-by-step explanation:
3(x + 2/3) =
3x + 6/3 = 3x + 2
Vertex = (1/2,5/2) x= 1 + or - square root of 5-2y all over 2
Answer:
3.14
Step-by-step explanation:
Circumference of a circle is given by
and making
the subject then
![\pi=\frac {C}{d}](https://tex.z-dn.net/?f=%5Cpi%3D%5Cfrac%20%7BC%7D%7Bd%7D)
Here d is the diameter and C is the circumference.
Given that d=10cm and C=31.4 then
![\pi=\frac {31.4}{10}=3.14](https://tex.z-dn.net/?f=%5Cpi%3D%5Cfrac%20%7B31.4%7D%7B10%7D%3D3.14)
Answer:
no
Step-by-step explanation:
To find coterminal angles for a given angle
add/ subtract 360° from it
Thus
135° + 360° = 495° or 135° - 360° = - 225°