The coordinates of B are (-2 , 9)
Step-by-step explanation:
A (8, 4)
M (3 , -1)
To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2
(Ax + Bx) / 2 = Mx
(8 + Bx) / 2 = 3
8 + Bx = 3 * 2
Bx = 6 - 8
Bx = -2
(Ay + By) / 2 = My
( -1 + By) / 2 = 4
-1 + By = 4 * 2
By = 8 + 1
By = 9
The coordinates of B are (-2 , 9)
You can also approach it this way:
28 flowers times n = 3444
so n = 123
11 x 123 = roses, 17 x 123 = tulips.
Those 2 products should add up to 3444.
3 only
<span>7 only </span>
<span>1 only </span>
<span>1, 4, and 7 </span>
<span>do you mean which digit is added to 371 so that it is divisible by 3 </span>
<span>test for 3, sum of digits divisible by 3 </span>
<span>3 + 7 + 1 = 11 </span>
<span>if you add 3, 11 + 3 = 14 not divisible by 3 </span>
<span>if you add 7, 11+ 7 = 18 divisible by 3 </span>
<span>if you add 1, 11+ 1 = 12 divisible by 3 </span>
<span>if you add 1, 4, 7 divisible by 3 </span>
I need help with a lot too
Answer:
![15 {g}^{2} + 15g](https://tex.z-dn.net/?f=15%20%7Bg%7D%5E%7B2%7D%20%20%20%2B%2015g)
Step-by-step explanation:
The given expresion is
![3(5 {g}^{2} + 15g)](https://tex.z-dn.net/?f=3%285%20%7Bg%7D%5E%7B2%7D%20%20%2B%2015g%29)
when we expand this expression we get;
![3(5 {g}^{2} + 15g) = 15 {g}^{2} + 45g](https://tex.z-dn.net/?f=3%285%20%7Bg%7D%5E%7B2%7D%20%20%2B%2015g%29%20%3D%2015%20%7Bg%7D%5E%7B2%7D%20%2B%2045g%20)
Now let us analyze the options:
First:
![15 {g}^{2} + 45g](https://tex.z-dn.net/?f=15%20%7Bg%7D%5E%7B2%7D%20%20%2B%2045g)
This is equivalent to the given expresion.
Second:
![15({g}^{2} + 3g) = 15{g}^{2} + 45g](https://tex.z-dn.net/?f=15%28%7Bg%7D%5E%7B2%7D%20%20%2B%203g%29%20%3D%2015%7Bg%7D%5E%7B2%7D%20%20%2B%2045g)
Also equivalent
Third:
![15g({g} + 3) = 15{g}^{2} + 45g](https://tex.z-dn.net/?f=15g%28%7Bg%7D%20%20%2B%203%29%20%20%3D%2015%7Bg%7D%5E%7B2%7D%20%20%2B%2045g)
Also equivalent
Fourth:
![15 {g}^{2} + 15g \ne 15{g}^{2} + 45g](https://tex.z-dn.net/?f=15%20%7Bg%7D%5E%7B2%7D%20%20%20%2B%2015g%20%20%5Cne%2015%7Bg%7D%5E%7B2%7D%20%20%2B%2045g)
Not equivalent