Answer:
<h3>The answer is 10.2 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
U (7,-4) and V(-3,-6)
The distance between them is
![|UV| = \sqrt{( {7 + 3})^{2} + ( { - 4 + 6})^{2} } \\ = \sqrt{ {10}^{2} + {2}^{2} } \\ = \sqrt{100 + 4} \: \\ = \sqrt{104} \: \: \: \: \: \: \: \: \\ = 2 \sqrt{26} \: \: \: \: \: \: \: \: \\ = 10.1980...](https://tex.z-dn.net/?f=%20%7CUV%7C%20%20%3D%20%20%5Csqrt%7B%28%20%7B7%20%2B%203%7D%29%5E%7B2%7D%20%20%2B%20%28%20%7B%20-%204%20%2B%206%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B10%7D%5E%7B2%7D%20%20%2B%20%20%7B2%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B100%20%2B%204%7D%20%20%5C%3A%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B104%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%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%202%20%5Csqrt%7B26%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%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%2010.1980...)
We have the final answer as
<h3>10.2 units to the nearest tenth</h3>
Hope this helps you
Answer:
Step-by-step explanation:
12 eggs in one box
12 boxes = 1 crate
12 x 12 = 144 eggs
144 x 24 crates = 3456 eggs
The first one is 2/3
Second one is 1/3 2/3 and 3/3
Last one is may be because they are equal?
Answer:
5
Step-by-step explanation:
The nth term of the geometric sequence is
![a_n=(-2)(5)^{n-1}](https://tex.z-dn.net/?f=a_n%3D%28-2%29%285%29%5E%7Bn-1%7D)
In general the nth term of a geometric sequence is
![a_n=a_1(r)^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%28r%29%5E%7Bn-1%7D)
By comparism;
is the common ratio of the sequence.
Or
![a_1=(-2)(5)^{1-1}=-2](https://tex.z-dn.net/?f=a_1%3D%28-2%29%285%29%5E%7B1-1%7D%3D-2)
![a_2=(-2)(5)^{2-1}=-10](https://tex.z-dn.net/?f=a_2%3D%28-2%29%285%29%5E%7B2-1%7D%3D-10)
Common ratio is
![r=\frac{-10}{-2}=5](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-10%7D%7B-2%7D%3D5)
Answer:
Noelle has four times as many apples in her grocery bag as her friends
Dakota and Kylie combined. Dakota has 1 apple in her bag. Noelle has 16
apples in her bag. How many apples does Kylie have in her grocery bag?
The equation 4(x + 1) = 16 models this situation. Which choice shows the sequence of operations needed to solve this problem, using both arithmetic and algebra?