Answer:
B) 3.2 mi
Step-by-step explanation:
1. The midpoints: midpoint formula = <em>((x₁ + x₂)/2, (y₁+ y₂)/2)</em>
upper = ((6 + -4)/2, (8 + 0)/2) --><em> (1, 4)</em>
lower = ((-8 + 2)/2, (3 + -5)/2) --><em> (-3, -1)</em>
2. Distance: distance formula = <em>√((x₁ - x₂)² + (y₁ - y₂)²)</em>
√((1 + 3)² + (4 + 1)²) = √(16 + 25) = √41 ≈ 6.403... ≈ <em>6.4</em>
3. Scale: 6.4 * 0.5 mi = 3.2 mi
We’re going to use the formula for area of a rectangle, which is length x width. We are also going to use the formula for area of a triangle which is 1/2 x base x height.
Let’s start with the rectangle under the triangle ends of the roof. They are 11mm wide, 10mm high, and there are two of them.
11 x 10 x 2 = 220
Then the other sides that are 16 x 10. There are 2 of them.
16 x 10 x 2 = 320
Then the rectangular pieces of roof, 9.7 x 16, and there are 2 of them.
9.7 x 16 x 2 = 310.4
Lastly, the triangle pieces of roof. (1/2)(base)(height), but there are 2 of them
1/2 x 11 x 8 x 2 = 88
Add up all the parts:
220 + 320 + 310.4 + 88 = 938.4 mm
Answer: x = 23 and y = 13
Explanation:
let x and y be the two number.
Where:
(x + y)/2 = 18 => x + y = 18 x 2 = 36
and:
x - y = 10
Thus we get:
x + y = 36 (1)
x - y = 10 (2)
Add (1) and (2):
x + y + x - y = 36 + 10
2x = 46
x = 23
If x = 23
then x - y = 10
23 - y = 10
-y = -13
y = 13
I would find the common factors between all of them, and settle with the factor 3.
If I have 3 tanks:
12/3 = 4
24/3 = 8
30/3 = 10
In each of the 3 tanks, there will be 4 angel fish, 8 sword fish, and 10 guppies.
I hope I helped :)
(I hope I didn't misunderstand the question, so if I did, I'm really sorry about that.)
No the inequality symbol only changed when you divide a negative number from both sides.
