Answer: -3/2
Step-by-step explanation:
m= y2-y2 over x2-x1
4-7 over 2-0 is m= -3/2
Hope this helps! :)
Use the Pythagorean theorem:

The length of the hypotenuse is approximately 14.1 in.
Answer:
Step-by-step explanation:
diagram attached represents a function g(x).
Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).
a). For input value x = 7, out put value of the function is y = 9.
Therefore, g(7) = 9 will be the answer.
b). Range of the function g(x) is the set of output values.
Range: {12, 9, 9, 17}
c). Inverse of the function g(x) will have,
Domain: {12, 9, 9, 17}
Range: {4, 7, 10, 15}
For input value of x = 9, there are two output values y = 7, 10.
Since, "a function can't have two output values for the same input value".
Therefore, inverse of the function g(x) will not represent a function.
Answer:
B C and D
Step-by-step explanation:
common sense
Consider the expression

Factorize the numerator and denominator a difference/sum of cubes:

Expand the denominator:

since <em>x</em> = 2020, and clearly 2020² + 2020 + 1 ≠ 0, so we can cancel the factor of <em>x</em> ² + <em>x</em> + 1. This leaves us with

so that <em>a</em> + <em>b</em> = 673 + 674 = 1347.