So I believe that the position the triangle is sitting in is the original position that the question started with correct? (Wasn't sure if you moved it before the screenshot or not)
So for all three points of the triangle, move each of them 6 units to the left since the rule has (x-6). If it was x+6, it should be 6 units to the right then.
After you move it 6 units to the left, move the points (all three) 4 units down since (y-4) means moving in the y-direction downward!
That should be the new place for the triangle to be positioned.
Hope this helps!
Answer:
f(n) = - 0.5n + 6
Step-by-step explanation:
Because Vince cuts down his television watching at a steady pace, his situation models a linear function. As such, we can use slope-intercept form to write and predict his hours watching tv in n weeks.
Slope-intercept form is y=mx+b. In this case, we are choosing to use f(n) instead of y to show the number of hours he is watching tv. We are also choosing to use n weeks instead of x. So we have the form f(n)=mn+b.
We know that Vince starts out at watching 6 hours a week. This is our initial value known as the y-intercept and represented by b. As each week passes, he will decrease from the previous week by 30 minutes or -0.5 hours since 30 out of 60 minutes is 0.5. And since he is decreasing it should be a negative rate of -0.5 and is represented by m.
We substitute b=6 and m=0.5 into our form to get f(n)=-0.5n+6. Let's test week 1. After 1 week he should be down from 6 hours to 5.5 hours or 5 hours and 30 minutes. Let's substitute n=1.
f(n)=-0.5(1)+6=-0.5+6=5.5
We can substitute for any n week and find the amount.
Answer:
Step-by-step explanation:
Surface area is the sum of areas of 4 triangles.
<u>Each triangle has:</u>
<u>Area of each triangle:</u>
- A = 1/2bh
- A = 1/2*9*7.79 = 35.055 ft²
<u>Surface area:</u>
- S = 4*35.055 = 140.22 ft²
