Okay so this is a very hard conceptual question. We need to prove that (x, y) is the ordered pair when "f(x) = g(x)".
"f(x) = g(x)" represents the point where the lines share a point or basically the intersection point of the two functions.
To prove that the intersection point is (x, y) let's find the x and y values at the point of intersection.
f(x) ----> the x-value is x and the y-value is f(x)
g(x) -----> the x-value is x and the y-value is g(x)
We know that f(x) = g(x) so we know that the y values match too.
We can also substitute a variable y for f(x) or g(x) (It is simply the y-value when x is plugged in for x. I know it sounds a bit confusing.).
So the solution when f(x) = g(x) is (x, y)!!!
The perimeter when 96 triangles are put together in the pattern shown below will be 98cm
Find the required triangle attached
In the diagram shown, we can see that we have 5 triangles.
The first thing we need to do is add one more triangle to have, six triangles,
Perimeter of the resulting 6 triangles = 6 + 2 = 8cm
For 8 triangles;
Perimter = 8 + 2 = 10cm
For "n" triangles;
Perimeter of n triangles = n + 2
Hence if 96 triangles are put together in the pattern shown below, hence
n = 96
Perimeter of the 96 triangles = 96 + 2
Perimeter of the 96 triangles = 98 cm
Hence the perimeter when 96 triangles are put together in the pattern shown below will be 98cm
Learn more here: brainly.com/question/13362349
Simple, use the process of elimination to figure this out:
4x-y=2
2x+9y=-12
Convert these, to be able to find either x or y.
2(4x-y=2) 8x-2y=4 multiply by 2.
then
4(2x+9y=-12) 8x+36y=-48
Which makes them
8x-2y=4
-
8x+36y=-48
-38y=52
This simplified makes it y= -26/19.
Then plug y back into the original equation
4x-y=2
4x-(-26/19)=2
Making it x= 3/19.
Thus your Point of Intersection is at (3/19, -26/19)
Answer: -3
The coefficient is the number that is getting multiplied by the variable
