Here, Vertices: A(-4, 0) B(-1, 6) C(3, -1)
Length of AB = √(6 - 0)² + (-1 + 4)²
= √6² + 3²
= √45
Length of BC = √(-1-6)² + (3+1)²
= √-7² + 4²
= √65
Length of AC = √(0+ 1)² + (-4 - 3)²
= √1² + 7²
= √50
Perimeter = sum of all sides:
So, P = √45 + √65 + √50 = √160 = 4√10
In short, Your Answer would be 4√10 units
Hope this helps!
Answer:
Yes it is
Step-by-step explanation:
Answer:
y = (3/8)x - 1.5
Step-by-step explanation:
Use the slope-intercept form y = mx + b. Substitute -1.5 for b, 4 for x and 0 for y. Then: 0 = m(4) - 1.5, or
4m = 1.5, or
The slope is m = 1.5/4, or m = 0.375, or m = 3/8.
Note that the x-intercept can be treated just like any other point: (4, 0)
Then the desired equation is y = (3/8)x - 1.5
Answer:

Step-by-step explanation:
Since the height isn't given, we assume it to be "h" (of cylinders). And the answer will be in terms of "r" and "h".
The area of 1 arm is given, so the area of 2 arms would be:

Now, area of 2 cylinders would be the formula:

So, total area is A_arm PLUS A_cyl. The fractional area the arms are would be gotten by taking expression A_arm divided by A_total.
Shown below:

We simplify further:

THis is the answer.
Answer:
star
Step-by-step explanation: