Answer:
Length = 9 units
Explanation:
Length between two points...,
Apply the following formula,
Length = square root of [(difference in x coordinates)^2 + (difference in y coordinates)^2]
Length = square root of [ (4 - 0)^2 + (7 - -1)^2 ]
Length = square root of (80)
Length = 9 units
Factorizing an expression involves writing the expression in simpler forms
The values of z are
or 
The equation is given as:

Expand the equation

Factorize the expression:

Factor out z - 4

Split
or 
Solve for z
or 
Hence, the values of z are
or 
Read more about factorization at:
brainly.com/question/11579257
Answer:
{(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)}
Step-by-step explanation:
Any relation having repetitive x-coordinates, is NOT a function.
Answer:
Step-by-step explanation:
Here are the steps to follow when solving absolute value inequalities:
Isolate the absolute value expression on the left side of the inequality.
If the number on the other side of the inequality sign is negative, your equation either has no solution or all real numbers as solutions.
If your problem has a greater than sign (your problem now says that an absolute value is greater than a number), then set up an "or" compound inequality that looks like this:
(quantity inside absolute value) < -(number on other side)
OR
(quantity inside absolute value) > (number on other side)
The same setup is used for a ³ sign.
If your absolute value is less than a number, then set up a three-part compound inequality that looks like this:
-(number on other side) < (quantity inside absolute value) < (number on other side)
The same setup is used for a £ sign