Answer:
![\displaystyle y + 5 = \frac{-1}{7}(x - 14)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%205%20%3D%20%5Cfrac%7B-1%7D%7B7%7D%28x%20-%2014%29)
General Formulas and Concepts:
<u>Algebra I</u>
Coordinate Planes
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
Slope <em>m</em> = ![\displaystyle \frac{-1}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B-1%7D%7B7%7D)
Point (14, -5)
<u>Step 2: Write Equation</u>
- Substitute in variable [Point-Slope Formula]:
![\displaystyle y - -5 = \frac{-1}{7}(x - 14)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20-%20-5%20%3D%20%5Cfrac%7B-1%7D%7B7%7D%28x%20-%2014%29)
- Simplify:
![\displaystyle y + 5 = \frac{-1}{7}(x - 14)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%2B%205%20%3D%20%5Cfrac%7B-1%7D%7B7%7D%28x%20-%2014%29)
Please find illustration attached
Answer and explanation:
I have illustrated the bisection of the lines using a diagram so it's easier to solve length of AB
Comparing line DE and CB, we know that DE is half of line DC and DC is half of CB, because CB= AC
Therefore DE is a quarter of line CB because length of DE × 4 will be equal to CB
To find length of AB, we go from known to unknown
We know from what we are given that line AB has a midpoint C, CB in line AB = 3x²+3x
CB=AC because CB is half of line AB
Therefore line AB
=3x²+3x+3x²+3x
= 6x²+6x
Ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm idk
Given:
ratio 3:2
amount to split : 2.5
ratio of 3:2 has a total of 5 because 3 + 2 = 5
So 3 is 3/5 of the ratio and 2 is 2/5 of the ratio based on the total.
2.50 is the amount that needs to be distributed using the ratio. It is the total.
3/5 x 2.50 = 1.50
2/5 x 2.50 = 1.00
So, 3:2 is equal to 1.50 : 1.00
Answer:
303.63 sq inches
Step-by-step explanation:
We need to find the area of the two rectangles he cuts and add them together.
The area of a rectangle is given as:
A = L * B
The first rectangle is 16 inches × 12 1/4 inches. Its area is:
A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches
The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:
A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches
The total square inches of construction paper that he needs is:
196 + 107.63 = 303.63 sq inches