Answer:
y = −1.4x + 7
Step-by-step explanation:
There are 3 steps to find the Equation of the Straight Line
1. Find the slope of the line
2. Put the slope and one point into the "Point-Slope Formula"
3. Simplify
Hi!
Your answer is the 1st one, <u>36 inches of ribbon.</u>
The question states this is a square picture frame. That means that all the side lengths are the same.
We are given a side length of 6 inches.
In order to find the area of a square, we multiply the length and the width together, but since they are the same value, we are just doing 6 x 6.

<h3>
Answer:</h3>
(x, y) = (7, -5)
<h3>
Step-by-step explanation:</h3>
It generally works well to follow directions.
The matrix of coefficients is ...
![\left[\begin{array}{cc}2&4\\-5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%264%5C%5C-5%263%5Cend%7Barray%7D%5Cright%5D)
Its inverse is the transpose of the cofactor matrix, divided by the determinant. That is ...
![\dfrac{1}{26}\left[\begin{array}{ccc}3&-4\\5&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B26%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-4%5C%5C5%262%5Cend%7Barray%7D%5Cright%5D)
So the solution is the product of this and the vector of constants [-6, -50]. That product is ...
... x = (3·(-6) +(-4)(-50))/26 = 7
... y = (5·(-6) +2·(-50))/26 = -5
The solution using inverse matrices is ...
... (x, y) = (7, -5)
Answer:

Step-by-step explanation:
Let points D, E and F have coordinates
and 
1. Midpoint M of segment DF has coordinates

2. Midpoint N of segment EF has coordinates

3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.
First, you do the distributive property on:
4(2n+3)
You would get
8n+12
Then add the original part of the equation in (4n)
4n+8n+12
Combine like terms
12n+12 is the answer