Answer:
If the expression is 
, then the answer is the first option.
If the expression is 
, then the answer is the third option.
Step-by-step explanation:
Remember that when you have a radical expression in the form ![\sqrt[n]{x}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bx%7D)
, you can rewrite as:
Then:
- If the expression is , then you can rewrite it in the following radical form:
![=4\sqrt[7]{x^3}](https://tex.z-dn.net/?f=%3D4%5Csqrt%5B7%5D%7Bx%5E3%7D)
(This form matches with the first option.)
- If the expression is , then you can rewrite it in the following radical form:
![=\sqrt[7]{(4x)^3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B7%5D%7B%284x%29%5E3%7D)
(This form matches with the third option).
Step-by-step explanation:
(Assuming that this triangle is isosceles)
If this triangle is isosceles, then x° is going to be equal to its twin angle; 40°.
We can solve for z now.
180 = 40 + 40 + z
180 = 80 + z
Subtract 80 from both sides.
100 = z
z = 100°
Now that we know z = 100 degrees, we can begin to solve the expression (3x -20)
The expression sits on a 180° line and the angle z (100°) shares the line with the expression (3x - 20)°
180 = 100 + (3x - 20)
Subtract 100 from both sides.
80 = 3x - 20
Add 20 to both sides to isolate 3x
100 = 3x
Divide by 3 on both sides.
100/3 = 3x/3
33.33... = x
|a+bi| = √(a² + b²)
-4-√2 i -> take a = -4 and b = -√2
|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
= </span><span>√[ 16 + 2<span> ]
</span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
= 3√2
the absolute value is 3√2</span>
Answer:
Third
Step-by-step explanation:
Acceleration is the rate of change of the rate of change of position
In the third, the rate of change is negative, and the rate of change of that is decreasing as time passes.
Answer:
33/4
Step-by-step explanation:
Let the first number be x, and the second number be y.
x - y = 4
x + y = -7
Solve for x in the first equation.
x - y = 4
x = 4 + y
Put x as (4 + y) in the second equation and solve for y.
4 + y + y = -7
4 + 2y = -7
2y = -7 - 4
2y = -11
y = -11/2
Put y as -11/2 in the first equation and solve for x.
x - y = 4
x - (-11/2) = 4
x + 11/2 = 4
x = 4 - 11/2
x = -3/2
Their product is:
-11/2 × -3/2
33/4
