Answer: G(x) = 3|x + 2| - 8
<u>Step-by-step explanation:</u>
"a" represents the vertical stretch <em>(or shrink)</em>
"h" represents the x-coordinate of the vertex
- x-axis goes left and right
"k" represents the y-coordinate of the vertex
F(x) = 3|x - 2| - 5
G(x) = 3(x - 2 + 4| - 5 - 3
= 3|x + 2| - 8
I would find the area of the shape as if it were a rectangle (5x9) and then subtract the area of two triangles (1/2x2x2.5)
Answer:
x = 14
y = 4
Explanation:
Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.
So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.
So we can write the equation x = y + 10.
Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.
So, we can write the equation 4y = x + 2.
Now we have the equations
you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.
If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.
To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.
In order to find all of these, you first must convert the percentage to a decimal. This would be 13% to 0.13.
Now, multiply 0.13 by all of these into a calculator.
1800 • 0.13 = 234
950 • 0.13 = 123.50
2200 • 0.13 = 286
3000 • 0.13 = 390
2600 • 0.13 = 338