Answer:
Yep, they all match:
1. Correct
2. Correct
3. Correct
4. Correct
Step-by-step explanation:
1.
√2 • √3 • √3 = 4.242640687119285
3√2 = 4.242640687119285
2.
√2 • √3 • √-3 = 4.24264069i
3i√2 = 4.24264069i
3.
√-2 • √-3 • √-3 = -4.24264069i
-3√2 = -4.24264069i
4.
√2 • √-3 • √-3 = -4.24264069i
-3i√2 = -4.24264069i
By definition, the gravitational force is given by:

Where,
m1 and m2: are the masses of the objects
G: is the gravitational constant
r is the distance between the objects' centers
The vertical asymptote of the function occurs when the denominator is equal to zero.
We have then:

In this context, it means that physically, the distance between the center of the objects can not be equal to zero (which is logical).
4>-4, as -4 is less than 0 and 4 is greater than 0.
Answer:
(-1 ; 3)
Step-by-step explanation:
when they say find the ordered pair they simply mean find the corresponding y value when x = -1
* where you see x substitute-1 *
f(-1) = 3(-1) + 6
=3
Answer:
Measure of ∠FGE is 40.2°.
Step-by-step explanation:
Refer to the attachment.
Consider ΔFGE. Given that ∠FEG = 90° and ∠FGE is x°.
To find the value of ∠FGE use trigonometric ratios.
Use sine ratio to find the value of ∠FGE.

Rewriting it in terms of x° as follows,

Now find the opposite and hypotenuse side of the angle ∠FGE.
So opposite side of ∠FGE is FE and hypotenuse side of ∠FGE is FG.
Substituting the values,

Given that length of FE is 12 inch and FG is 18.6 inch.
Substituting the value,

To find the value of x, taking inverse sin.

Calculating the value,

Rounding to nearest tenth the value of angle is 40.2
Therefore measure of ∠FGE is 40.2° .