Answer:
See below
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals. When the slopes are multiplied like 3 and -1/3 is -1.
This means the line y = -6x + 7 which has slope -6 will have a perpendicular line that has slope 1/6.
Any equation which has slope 1/6 is a solution.
Example 1/6x - 1 or 1/6x + 7 or etc.
Answer:
30/150 simplifies to 20%
30/150
zeros cancel out
3/15
1/5
1/5 as a percentage is the same as 20%
The last choice, f(x)=1/4(4ˣ⁻⁻¹)-4, is correct.
Substituting our values for x, we have:
f(2) = 1/4(4²⁻¹)-4 = 1/4(4¹) - 4 = 1/4(4) - 4= 1 - 4 = -3
f(3) = 1/4(4³⁻¹)-4 = 1/4(4²) - 4 = 1/4(16) - 4 = 4 - 4 = 0
f(4) = 1/4(4⁴⁻¹)-4 = 1/4(4³) - 4 = 1/4(64) - 4 = 16 - 4 = 12
All of the data points fit.
Answer:
1072
Step-by-step explanation:
the angle is 108, so x10 then minus 8. when theres a letter next to the number it means to multiply it, so get the answer; then multiply it. example:
right angle 10x so 90x10. 900. hope this helps!
By using Euler's notation, we will see that:
z^7 = 78,125*e^(-i*4.48)
<h3>
How to get z^7?</h3>
We know that:
z = 4 - 3i
Remember that for a complex number:
w = a + bi
In Euler's notation, we can write this as:
w = √(a^2 + b^2)*e^(i*Atan(b/a))
Then, for z, we will get:
z = √(4^2 + (-3)^2)*e^(i*Atan(-3/4))
z = 5*e^(-i*0.64)
Now, if we apply an exponent of 7 to this number, we will get:
z^7 = ( 5*e^(-i*0.64))^7
z^7 = 5^7*e^(-i*7*0.64) = 78,125*e^(-i*4.48)
If you want to learn more about complex numbers, you can read:
brainly.com/question/10662770
