Hi!
There are two ways to do this.
1. Start with the first part of the decimal, (4.) then divide 3/7 to get the second part.
3/7 = 0.43
4.43
2. Convert the mixed number 4 3/7 to a fraction.
4 x 7 = 28
28 + 3 = 31
31/7
Now convert that into a decimal.
31/7 = 4.43
The answer is 4.43
Hope this helps! :)
Hello! We will be using the Pythagorean theorum, where a² + b² = c². C is the clanted part of the triangle, and 13² is 169. a = 12, and we are looking for the value of b. 12² is 144. Let's subtract to find b. 169 - 144 is 25. Now, let's find the square root of 25 to find the length. √25 is 5. There. b = 5. The side length of side b is 5. The correct answer is C: 5.
Answer: Option D.
Step-by-step explanation:
this is a quadratic equation of the form:
y = ax^2 + bx + c
First, things you must see.
The graph opens up, so we must have thata a is greater than zero, so we can discard the first option.
Second, we can see that the vertex is located in x ≈ 70
The vertex of a quadratic equation is: x = -b/2a
so we have:
70 = -b/2a
let's try our options and see if we can discard other:
B:
-b/2a = 69.9/2 = 34.95
we can discard this option.
C:
-b/2a = 78/2 = 39 we can discard this option.
D:
-b/2a = 69.9/2*0.5 = 69.9
This is the only one that fits, so this is the correct option.
For 
to be conservative, we need to have
Integrate the first PDE with respect to 
:
Differentiate with respect to 
:
Now differentiate 
with respect to 
:
So we have
so is indeed conservative.
Well, anything that's rotated (turned), reflected (flipped), or translated (moved) is still the same shape of the same size, so the new figures would be congruent with the originals. Dilation, however, is when the shape stays the same but the size changes, so when a figure is dilated, it's not congruent, just similar. 2 out of the 4 are dilated, so those ones would be the answer.
