Answer:
https://www.algebra.com/algebra/homework/word/numbers/Numbers_Word_Problems.faq.question.826722.html
Step-by-step explanation:
go to this website, hope you understand it.
Answer:
No they are not; rectangles are only similar if there is a consistent ratio between all sides. An example of two rectangles that are similar would be a rectangle with dimensions of 2 x 7 and another one with dimensions of 4 x 14.
Answer:
see explanation
Step-by-step explanation:
given the endpoints of a line segment
(x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[
(x₁ + x₂),
(y₁ + y₂) ]
For example
consider the endpoints (4, 2) and (6, - 4)
midpoint = [
(4 + 6),
(2 - 4)] = (5, - 1)
If a line is parallel to another it has the same slope. Since the equation y = 1/3x +8 is parallel to the line we are trying to find, our second line will have the slope of 1/3x as well
This is the equation of a line:
y = mx + b
m = slope = 1/3x
b = y intercept = unknown
We have to find b to make this equation complete. How do we do this?
First plug what you know into the equation: y = 1/3x + b
Second we must solve for b. To do this plug a point that passes through the line (in this case they said (6, -2) passes through the line) into the x and y of the equation:
-2 = 1/3(6) + b
Now solve for b!
-2 = 6/3 + b
-2 = 2 + b
- 2 - 2 = b
-4 = b
The equation parallel to y=1/3x + 8 and passes through point (6, -2) is y = 1/3x - 4
The image below is the two line one a coordinate plane. As you can see, they are parallel to each other
Hope this helped!