It is the last one.
A pre-image is the original before another shape is created from it, either dilated, translated, reflected, or rotated.
Answer:
278°
Step-by-step explanation:
m arc BAC = 360 -(2×41)
= 360 - 82 = 278°
We have to represent the fraction 
in two different ways.
Let us multiply the numerator and denominator of the given fraction by '2'.
Therefore, 
Therefore, 
is the first way to represent the given fraction.
Now, Let us multiply the numerator and denominator of the given fraction by '3'.
Therefore, 
Therefore, 
is the second way to represent the given fraction.
Therefore, and are the different ways to represent the fraction .
Answer:
Step-by-step explanation:
a) 310cos25 = 281 N
b) (620 - 281) / cos-18 = 356 N
Using derivatives, it is found that regarding the tangent line to the function, we have that:
- The equation of the line is y = 962x - 5119.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The slope of the line tangent to a function f(x) at x = x' is given by f'(x'). In this problem, the function is given by:
f(x) = 5x³ + 2x + 1.
The derivative is given by:
f'(x) = 15x² + 2.
Hence the slope at x = 8 is:
m = f'(8) = 15(8)² + 2 = 962.
The line goes through the point (8,f(8)), hence:
f(8) = 5(8)³ + 2(8) + 1 = 2577.
Hence:
y = 962x + b
2577 = 962(8) + b
b = -5119.
Hence the equation is:
y = 962x - 5119.
More can be learned about tangent lines at brainly.com/question/8174665
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