Answer:
15 units
Step-by-step explanation:
K(8, 6) and J(-4, -3)
Distance between 2 points
![= \sqrt{(x1 - x2)^{2} + {(y1 - y2)}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%28x1%20-%20x2%29%5E%7B2%7D%20%20%2B%20%20%7B%28y1%20-%20y2%29%7D%5E%7B2%7D%20%7D%20)
Thus using the formula above,
distance between points J and K
![= \sqrt{ {[8- (-4)]}^{2} + {[6- (-3)]}^{2} } \\ = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{225} \\ = 15 \: units](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%20%7B%5B8-%20%28-4%29%5D%7D%5E%7B2%7D%20%20%2B%20%20%7B%5B6-%20%28-3%29%5D%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%7B12%7D%5E%7B2%7D%20%20%2B%20%20%7B9%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B225%7D%20%20%5C%5C%20%20%3D%2015%20%5C%3A%20units)
Making a shape bigger and smaller
Answer:
SEE BELOW
Step-by-step explanation:
V=a²h/3
=9² x 4/3
= 81 x 4/3
= 27 x 4
= 108 cm³
Given:
The expressions are:
![6+3](https://tex.z-dn.net/?f=6%2B3)
![6+(-4)](https://tex.z-dn.net/?f=6%2B%28-4%29)
![6+(-6)](https://tex.z-dn.net/?f=6%2B%28-6%29)
To find:
The value of given expression by using integer tiles.
Solution:
We have,
![6+3](https://tex.z-dn.net/?f=6%2B3)
Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,
![6+3=9](https://tex.z-dn.net/?f=6%2B3%3D9)
Similarly,
![6+(-4)](https://tex.z-dn.net/?f=6%2B%28-4%29)
Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,
![6+(-4)=2](https://tex.z-dn.net/?f=6%2B%28-4%29%3D2)
![6+(-6)](https://tex.z-dn.net/?f=6%2B%28-6%29)
Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.
When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,
![6+(-6)=0](https://tex.z-dn.net/?f=6%2B%28-6%29%3D0)
Therefore,
.
Hello!
Explanation:
First, you had to do is multiply by the numbers. And don't forget to used variables.
![4*3=12](https://tex.z-dn.net/?f=4%2A3%3D12)
![3*4=12](https://tex.z-dn.net/?f=3%2A4%3D12)
![12/4=3](https://tex.z-dn.net/?f=12%2F4%3D3)
![12/3=4](https://tex.z-dn.net/?f=12%2F3%3D4)
Answer: → ![=12y](https://tex.z-dn.net/?f=%3D12y)
Hope this helps!
Thanks!
-Charlie